Daniel Liberzon's publications and preprints

Daniel Liberzon's publications and preprints

First, some personal thoughts on publishing: I think we (as a research community) publish way too much. Everyone is always busy trying to meet a paper submission deadline or reviewing other people's papers. I wish we had more time to think about our ideas, discuss them with colleagues, and select and develop the best ones. If we produce fewer papers, their quality will be higher and it will be easier for others to keep up with them now and find them in the future, which will mean higher long-term value and impact of our work. I am certainly guilty of writing too many papers myself, even though I actually write fewer papers than many of my colleagues. The current academic system unfortunately puts pressure on all of us to publish more than we should, and so we need to (gradually) change the system. We should resist "bean counting" when it comes to hiring and promotions, and keep ourselves and our students focused on depth and quality. In fact, even in the current system - at least at top institutions - it is more beneficial for one's career to publish a few really good papers than a lot of mediocre ones, but not everyone seems to realize it.

"An author who is willing to take credit for a paper must also bear responsibility for its contents." On Being a Scientist: Responsible Conduct in Research (2nd edition, 1995)

BOOKS | PAPERS | OTHER

Books

CALCULUS OF VARIATIONS AND OPTIMAL CONTROL THEORY: A CONCISE INTRODUCTION, Princeton University Press, 2012. ISBN 978-0-691-15187-8.
Online preview (HTML) | Free preliminary copy (PDF) | Sample quotes | Front and back cover | Courses that use the book

This is a textbook for a first-year graduate course on calculus of variations and optimal control theory. Its aim is to provide a concise and rigorous introduction to the subject without requiring extensive background in control theory or advanced mathematics from the student. After presenting the main results in calculus of variations, the book makes a gradual transition to optimal control and discusses the maximum principle, the Hamilton-Jacobi-Bellman theory of dynamic programming, and linear-quadratic optimal control. Unique features of the book include:

  • Logical and notational consistency in the exposition of classical and modern topics provides a unified view of the field
  • A complete proof of the maximum principle is the centerpiece of the book, with special attention paid to preparing the ground for this proof beforehand
  • Remarks tracing the historical evolution of ideas and results complement the technical developments
All of the material in the book can be covered in one semester. Around sixty exercises are integrated into the text, and their solutions are available to instructors. Notes and references at the end of each chapter and the final chapter on advanced topics indicate avenues for further study.

From reviewers’ comments:

“The manuscript is a very scholarly – and indeed concise – introduction to optimal control theory. While many books on the topic have been published, the author argues convincingly in the preface for the utility of his contribution, which is marked by a nice balance of rigor and accessibility, an elegant historical progression, and a careful and complete proof of the maximum principle. Without doubt, the author has achieved the objectives stated in the preface. A course based on this manuscript should be a pleasure to take, an enriching experience guided by careful mathematics, fascinating historical perspectives, and thought-provoking exercises… The notes and references at the end of each chapter are excellent, as is the flow of the chapters.”

“I can not think of another text which can serve as a brief introduction to the field, which explains the maximum principle well, and which is accessible to graduate students in engineering… The author put a lot of effort into explaining most of the technical material, clearly with the students in mind. The organization of the material is good, so is the choice of presented topics. The size of the manuscript is very manageable… The exercises appear challenging but well-chosen and should greatly help students understand the material.”

Other reviews of this book: AMS Math Reviews, Zentralblatt Math, Amazon.com.

More info about this book on books.google.com


SWITCHING IN SYSTEMS AND CONTROL, Birkhauser, Boston, MA, Jun 2003. Volume in series Systems and Control: Foundations and Applications. ISBN 978-0-8176-4297-6.
Available through SpringerLink here (subscription required).

This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events. The theory of such switched systems is related to the study of hybrid systems, which has recently attracted considerable attention among control theorists, computer scientists, and practicing engineers. Aimed at readers with a background in systems and control, this book bridges the gap between classical mathematical control theory and the interdisciplinary field of hybrid systems.

The book is divided into three main parts:

  • Part I introduces the classes of systems studied in the book
  • Part II develops stability theory for switched systems; it covers single and multiple Lyapunov function analysis methods, Lie-algebraic stability criteria, stability under limited-rate switching, and switched systems with various types of useful special structures
  • Part III is devoted to switching control design; it describes several wide classes of continuous-time control systems for which the logic-based switching paradigm emerges naturally as a control design tool. Switching control algorithms for several specific problems are discussed.
The text adopts a progressive approach, presenting elementary concepts informally and more advanced topics with greater rigor. Results are first derived for linear systems and then extended to nonlinear systems. Full proofs for most results are provided. An extensive bibliography and a section of technical and historical notes complete the work.

Requiring only familiarity with the basic theory of linear systems, the book is suitable as a text for a graduate course on switched systems and switching control. It may also serve as an introduction to this active area of research for control theorists and mathematicians, as well as a useful reference for experts in the field.

More info about this book on books.google.com

Read reviews of this book in IEEE Control Systems Magazine, IEEE Transactions on Automatic Control, AMS Math Reviews, Zentralblatt Math, and on Amazon.com.

Selected papers

Continuing with the theme that we publish too much (see top of the page), I think it would not be a bad idea to have a venue where every researcher is limited to submitting only one paper per year. Click on the link above to see the list of my selected papers. The condition of at most one paper per year is enforced on the average rather than strictly, due to randomness in publication times.

For a chronological list of journal papers, please see my CV.

Go to this page for more information about my co-authors.

All papers by topic

The most recent submissions are marked with

Click on a topic to see its expanded (and more accurate) name. Sometimes the same paper is listed under several topics. Papers within each topic are arranged by category: journal articles, then book chapters (if any), then conference articles. Within each category, more recent papers are closer to the top.

Nonlinear systems | Switched systems | Quantized control | Adaptive control | Stochastic systems

Nonlinear systems and control:

Journals: (jump down to Conferences)

Nonlinear observers robust to measurement disturbances in an ISS sense (with H. Shim), IEEE Transactions on Automatic Control, vol. 61, no. 1, pp. 48-61, Jan 2016.
↓Abstract

An asymptotic ratio characterization of input-to-state stability (with H. Shim), IEEE Transactions on Automatic Control, vol. 60, no. 12, pp. 3401-3404, Dec 2015.
↓Abstract

Norm-controllability of nonlinear systems (with M. Müller and F. Allgöwer), IEEE Transactions on Automatic Control, vol. 60, no. 7, pp. 1825-1840, Jul 2015.
↓Abstract Addendum

Lyapunov conditions for input-to-state stability of impulsive systems (with J. P. Hespanha and A. R. Teel), Automatica, vol. 44, no. 11, pp. 2735-2744, Nov 2008.
↓Abstract

Nonlinear norm-observability notions and stability of switched systems (with J. P. Hespanha, D. Angeli, and E. D. Sontag), IEEE Transactions on Automatic Control, vol. 50, no. 2, pp. 154-168, Feb 2005.
↓Abstract

Output-input stability implies feedback stabilization, Systems and Control Letters, vol. 53, no. 3/4, pp. 237-248, Nov 2004.
↓Abstract

Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation (with E. D. Sontag and Y. Wang), Systems and Control Letters, vol. 4, no. 2, pp. 111-127, Jun 2002.
↓Abstract Erratum

Output-input stability and minimum-phase nonlinear systems (with A. S. Morse and E. D. Sontag), IEEE Transactions on Automatic Control, vol. 47, no. 3, pp. 422-436, Mar 2002.
↓Abstract

Conferences:

On almost Lyapunov functions (with C. Ying and V. Zharnitsky), in Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, CA, Dec 2014, pp. 3083-3088.
↓Abstract See also the slides of the talk.

Norm-controllability, or how a nonlinear system responds to large inputs (with M. Müller and F. Allgöwer), in Proceedings of the 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013) (semi-plenary paper), Toulouse, France, Sep 2013, pp. 104-109.
↓Abstract See also the slides of the talk.

Relaxed conditions for norm-controllability of nonlinear systems (with M. Müller and F. Allgöwer), in Proceedings of the 51st IEEE Conference on Decision and Control, Maui, HI, Dec 2012, pp. 314-319.
↓Abstract See also a more complete version.

On norm-controllability of nonlinear systems (with M. Müller and F. Allgöwer), in Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, FL, Dec 2011, pp. 1741-1746.
↓Abstract

Quasi-ISS reduced-order observers and quantized output feedback (with H. Shim and J.-S. Kim), in Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, Dec 2009, pp. 6680-6685.
↓Abstract See also the slides of the talk.

On input-to-state stability of impulsive systems (with J. P. Hespanha and A. R. Teel), in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, Dec 2005, pp. 3992-3997.
↓Abstract See also a more complete version.

Output-input stability and feedback stabilization of multivariable nonlinear control systems, in Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, HI, Dec 2003, pp. 1550-1555.
↓Abstract See also the slides of the talk.

Nonlinear observability and an invariance principle for switched systems (with J. P. Hespanha and E. D. Sontag), in Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, Dec 2002, pp. 4300-4305.
↓Abstract See also the slides of the talk.

Output-input stability of nonlinear systems and input/output operators, in Proceedings of the 15th International Symposium on Mathematical Theory of Networks and Systems (MTNS), South Bend, IN, Aug 2002.
↓Abstract See also the slides of the talk.

Output-input stability: a new variant of the minimum-phase property for nonlinear systems (with A. S. Morse and E. D. Sontag), in Proceedings of the 5th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2001), St. Petersburg, Russia, Jul 2001, pp. 743-748.
↓Abstract See also the slides of the talk.

A new definition of the minimum-phase property for nonlinear systems, with an application to adaptive control (with A. S. Morse and E. D. Sontag), in Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, Dec 2000, pp. 2106-2111.
↓Abstract See also the slides of the talk

ISS and integral-ISS disturbance attenuation with bounded controls, in Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, Dec 1999, pp. 2501-2506.
↓Abstract See also the slides of the talk.

On integral-input-to-state stabilization (with E. D. Sontag and Y. Wang), in Proceedings of the 1999 American Control Conference, San Diego, CA, Jun 1999, pp. 1598-1602.
↓Abstract See also the slides of the talk.

Switched and hybrid systems:

Journals: (jump down to Conferences)

Feedback stabilization of a switched linear system with an unknown disturbance under data-rate constraints (with G. Yang), submitted to IEEE Transactions on Automatic Control, Nov 2016.
↓Abstract

Lyapunov small-gain theorems for networks of not necessarily ISS hybrid systems (with A. Mironchenko and G. Yang), submitted to Automatica, Aug 2016.
↓Abstract

Generalized switching signals for input-to-state stability of switched systems (with A. Kundu and D. Chatterjee), Automatica, vol. 64, pp. 270–277, Feb 2016.
↓Abstract

A Lyapunov-based small-gain theorem for interconnected switched systems (with G. Yang), Systems and Control Letters, vol. 78, pp. 47-54, Apr 2015.
↓Abstract

Lyapunov-based small-gain theorems for hybrid systems (with D. Nesic and A. R. Teel), IEEE Transactions on Automatic Control, vol. 59, no. 6, pp. 1395-1410, Jun 2014.
↓Abstract

Finite data-rate feedback stabilization of switched and hybrid linear systems, Automatica, vol. 50, no. 2, pp. 409-420, Feb 2014.
↓Abstract

On observability for switched linear systems: characterization and observer design (with A. Tanwani and H. Shim), IEEE Transactions on Automatic Control, vol. 58, no. 4, pp. 891-904, Apr 2013.
↓Abstract Erratum

Input/output-to-state stability and state-norm estimators for switched nonlinear systems (with M. Müller), Automatica, vol. 48, no. 9, pp. 2029-2039, Sep 2012.
↓Abstract

Switched nonlinear differential algebraic equations: solution theory, Lyapunov functions, and stability (with S. Trenn), Automatica, vol. 48, no. 5, pp. 954-963, May 2012.
↓Abstract

On robust Lie-algebraic stability conditions for switched linear systems (with A. A. Agrachev and Y. Baryshnikov), Systems and Control Letters, vol. 61, no. 2, pp. 347-353, Feb 2012.
↓Abstract

Stabilizing randomly switched systems (with D. Chatterjee), SIAM Journal on Control and Optimization, vol. 49, no. 5, pp. 2008-2031, 2011.
↓Abstract

An inversion-based approach to fault detection and isolation in switching electrical networks (with A. Tanwani and A. D. Dominguez-Garcia), IEEE Transactions on Control Systems Technology, vol. 19, no. 5, pp. 1059-1074, Sep 2011.
↓Abstract

Invertibility of nonlinear switched systems (with A. Tanwani), Automatica, vol. 46, no. 12, pp. 1962-1973, Dec 2010.
↓Abstract

Verifying average dwell time of hybrid systems (with S. Mitra and N. Lynch), ACM Transactions on Embedded Computing Systems, vol. 8, article 3, pp. 1-37, Dec 2008.
↓Abstract

Invertibility of switched linear systems (with L. Vu), Automatica, vol. 44, no. 4, pp. 949-958, Apr 2008.
↓Abstract

On stability of randomly switched nonlinear systems (with D. Chatterjee), IEEE Transactions on Automatic Control, vol. 52, no. 12, pp. 2390-2394, Dec 2007.
↓Abstract

Input-to-state stability of switched systems and switching adaptive control (with L. Vu and D. Chatterjee), Automatica, vol. 43, no. 4, pp. 639-646, Apr 2007.
↓Abstract

Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions (with D. Chatterjee), SIAM Journal on Control and Optimization, vol. 45, no. 1, pp. 174-206, 2006.
↓Abstract

Lie-algebraic stability conditions for nonlinear switched systems and differential inclusions (with M. Margaliot), Systems and Control Letters, vol. 55, no. 1, pp. 8-16, Jan 2006.
↓Abstract

Common Lyapunov functions for families of commuting nonlinear systems (with L. Vu), Systems and Control Letters, vol. 54, no. 5, pp. 405-416, May 2005.
↓Abstract

Nonlinear norm-observability notions and stability of switched systems (with J. P. Hespanha, D. Angeli, and E. D. Sontag), IEEE Transactions on Automatic Control, vol. 50, no. 2, pp. 154-168, Feb 2005.
↓Abstract

Common Lyapunov functions and gradient algorithms (with R. Tempo), IEEE Transactions on Automatic Control, vol. 49, no. 6, pp. 990-994, Jun 2004.
↓Abstract

Lie-algebraic stability criteria for switched systems (with A. A. Agrachev), SIAM Journal on Control and Optimization, vol. 40, no. 1, pp. 253-269, Jun 2001.
↓Abstract Note: I subsequently learned that a result essentially equivalent to Theorem 2 of this paper was proved earlier by S. A. Kutepov (Absolute stability of bilinear systems with a compact Levi factor, in Russian, Kibernet. i Vychisl. Tekhn., vol. 62, pp. 28-33, 1984). Details

Basic problems in stability and design of switched systems (with A. S. Morse), IEEE Control Systems Magazine, vol. 19, no. 5, pp. 59-70, Oct. 1999.
↓Abstract

Stability of switched systems: a Lie-algebraic condition (with J. P. Hespanha and A. S. Morse), Systems and Control Letters, vol. 37, no. 3, pp. 117-122, Jul 1999.
↓Abstract See also the slides of the talk given at the Brockettfest, Cambridge, MA, Oct 1998.
Addendum

Book chapters:

Observer design for switched linear systems with state jumps (with A. Tanwani and H. Shim), in Hybrid Dynamical Systems: Observation and Control, Lecture Notes in Control and Information Sciences, vol. 457 (M. Djemai and M. Defoort, Eds.), Springer International Publishing, Switzerland, 2015, pp. 179-203.
↓Abstract

Stability analysis of hybrid systems via small-gain theorems (with D. Nesic), in Proceedings of the Ninth International Workshop on Hybrid Systems: Computation and Control, Santa Barbara, CA, Mar 2006, Lecture Notes in Computer Science, vol. 3927 (J. Hespanha and A. Tiwari, Eds.), Springer, Berlin, pp. 421-435.
↓Abstract

Verifying average dwell time by solving optimization problems (with S. Mitra and N. Lynch), in Proceedings of the Ninth International Workshop on Hybrid Systems: Computation and Control, Santa Barbara, CA, Mar 2006, Lecture Notes in Computer Science, vol. 3927 (J. Hespanha and A. Tiwari, Eds.), Springer, Berlin, pp. 476-490.
↓Abstract See also a more complete version.

Switched systems, Handbook of Networked and Embedded Control Systems (D. Hristu-Varsakelis and W. S. Levine, Eds.), Birkhauser, Boston, 2005, pp. 559-574.

Lie algebras and stability of switched nonlinear systems, Unsolved Problems in Mathematical Systems Theory and Control (V. D. Blondel and A. Megretski, Eds.), Princeton University Press, 2004, pp. 203-207. See also Open Problems Book of the 15th International Symposium on Mathematical Theory of Networks and Systems (MTNS), South Bend, IN, Aug 2002, pp. 90-92.
See also a partial solution.

Conferences:

Finite data-rate stabilization of a switched linear system with unknown disturbance (with G. Yang), in Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2016), Monterey, CA, Aug 2016, pp. 1103-1108.
↓Abstract

Connections between stability conditions for slowly time-varying and switched linear systems (with X. Gao, J. Liu, and T. Basar), in Proceedings of the 54th IEEE Conference on Decision and Control, Osaka, Japan, Dec 2015, pp. 2339-2334.
↓Abstract

Stabilizing a switched linear system with disturbance by sampled-data quantized feedback (with G. Yang), in Proceedings of the American Control Conference, Chicago, IL, Jul 2015, pp. 2193-2198.
↓Abstract

Input-to-state stability for switched systems with unstable subsystems: a hybrid Lyapunov construction (with G. Yang), in Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, CA, Dec 2014, pp. 6240-6245.
↓Abstract

Lyapunov small-gain theorems for not necessarily ISS hybrid systems (with A. Mironchenko and G. Yang), in Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS), Groningen, the Netherlands, Jul 2014, pp. 1001-1008.
↓Abstract

Robust stability conditions for switched linear systems: commutator bounds and the Lojasiewicz inequality (with Y. Baryshnikov), in Proceedings of the 52nd IEEE Conference on Decision and Control, Florence, Italy, Dec 2013, pp. 722-726.
↓Abstract

Limited-information control of hybrid systems via reachable set propagation, in Proceedings of the 16th ACM International Conference on Hybrid Systems: Computation and Control (HSCC 2013), Philadelphia, PA, Apr 2013, pp. 11-19.
↓Abstract See also the slides of the talk.

Small-gain theorems of LaSalle type for hybrid systems (with D. Nesic and A. R. Teel), in Proceedings of the 51st IEEE Conference on Decision and Control, Maui, HI, Dec 2012, pp. 6825-6830.
↓Abstract See also the slides of the talk.

Stabilizing a switched linear system by sampled-data quantized feedback, in Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, FL, Dec 2011, pp. 8321-8326.
↓Abstract See also the slides of the talk.

Commutativity and asymptotic stability for linear switched DAEs (with S. Trenn and F. Wirth), in Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, FL, Dec 2011, pp. 417-422.
↓Abstract

Robust invertibility of switched linear systems (with A. Tanwani), in Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, FL, Dec 2011, pp. 441-446.
↓Abstract

Observability implies observer design for switched linear systems (with A. Tanwani and H. Shim), in Proceedings of the 14th ACM International Conference on Hybrid Systems: Computation and Control, Chicago, IL, Apr 2011, pp. 3-12.
↓Abstract Erratum

Towards robust Lie-algebraic stability conditions for switched linear systems (with A. A. Agrachev and Y. Baryshnikov), in Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, GA, Dec 2010, pp. 408-413.
↓Abstract See also the slides of the talk.

State-norm estimators for switched nonlinear systems under average dwell-time (with M. Müller), in Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, GA, Dec 2010, pp. 1275-1280.
↓Abstract See also a more complete version.

Input/output-to-state stability of switched nonlinear systems (with M. Müller), in Proceedings of the American Control Conference, Baltimore, MD, Jul 2010, pp. 1708-1712.
↓Abstract

On stability of linear switched differential algebraic equations (with S. Trenn), in Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, Dec 2009, pp. 2156-2161.
↓Abstract

On new sufficient conditions for stability of switched linear systems, in Proceedings of the 2009 European Control Conference, Budapest, Hungary, Aug 2009, pp. 3257-3262.
↓Abstract See also the slides of the talk.

Invertibility of nonlinear switched systems (with A. Tanwani), in Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico, Dec 2008, pp. 286-291.
↓Abstract See also a more complete version.

Towards ISS disturbance attenuation for randomly switched systems (with D. Chatterjee), in Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, Dec 2007, pp. 5612-5617.
↓Abstract

Stability of interconnected switched systems and adaptive control of time-varying plants (with L. Vu), in Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, Dec 2007, pp. 4021-4026.
↓Abstract

On invertibility of switched linear systems (with L. Vu), in Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, Dec 2006, pp. 4081-4086.
↓Abstract

Stability and stabilization of randomly switched systems (with D. Chatterjee), in Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, Dec 2006, pp. 2643-2648.
↓Abstract See also a more complete version.

ISS of switched systems and applications to switching adaptive control (with L. Vu and D. Chatterjee), in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, Dec 2005, pp. 120-125.
↓Abstract See also the slides of the talk.

A small-gain approach to stability analysis of hybrid systems (with D. Nesic), in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, Dec 2005, pp. 5409-5414.
↓Abstract See also the slides of the talk.

A Lie-algebraic condition for stability of switched nonlinear systems (with M. Margaliot), in Proceedings of the 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, Dec 2004, pp. 4619-4624.
↓Abstract See also the slides of the talk.

On stability of stochastic switched systems (with D. Chatterjee), in Proceedings of the 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, Dec 2004, pp. 4125-4127.
↓Abstract See also the slides of the talk.

Stability of hybrid automata with average dwell time: an invariant approach (with S. Mitra), in Proceedings of the 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, Dec 2004, pp. 1394-1399.
↓Abstract See also the slides of the talk.

Gradient algorithms for finding common Lyapunov functions (with R. Tempo), in Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, HI, Dec 2003, pp. 4782-4787.
↓Abstract See also the slides of the talk.

Nonlinear observability and an invariance principle for switched systems (with J. P. Hespanha and E. D. Sontag), in Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, Dec 2002, pp. 4300-4305.
↓Abstract See also the slides of the talk.

A note on uniform global asymptotic stability of nonlinear switched systems in triangular form (with D. Angeli), in Proceedings of the 14th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Perpignan, France, Jun 2000.
↓Abstract

Lie-algebraic conditions for exponential stability of switched systems (with A. A. Agrachev), in Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, Dec 1999, pp. 2679-2684.
↓Abstract See also the slides of the talk.

ISS and integral-ISS disturbance attenuation with bounded controls, in Proceedings of the 38th IEEE Conference on Decision and Control, Phoenix, AZ, Dec 1999, pp. 2501-2506.
↓Abstract See also the slides of the talk.

Stabilizing a linear system with finite-state hybrid output feedback, in Proceedings of the 7th IEEE Mediterranean Conference on Control and Automation, Haifa, Israel, Jun 1999, pp. 176-183.
↓Abstract See also the slides of the talk.

Control under communication constraints:

Journals: (jump down to Conferences)

Feedback stabilization of a switched linear system with an unknown disturbance under data-rate constraints (with G. Yang), submitted to IEEE Transactions on Automatic Control, Nov 2016.
↓Abstract

Robust Pecora-Carroll synchronization under communication constraints (with B. Andrievsky and A. L. Fradkov), submitted to Systems and Control Letters, Sep 2016.
↓Abstract

Quantized adaptive stabilization of minimum-phase systems (with A. Selivanov and A. L. Fradkov), submitted to IEEE Transactions on Automatic Control, Jun 2016.
↓Abstract

Control with minimal cost-per-symbol encoding and quasi-optimality of event-based encoders (with J. Pearson and J. P. Hespanha), IEEE Transactions on Automatic Control, to appear.
↓Abstract See also a more complete technical report.

Energy control of a pendulum with quantized feedback (with R. Seifullaev and A. L. Fradkov), Automatica, vol. 67, pp. 171–177, May 2016.
↓Abstract

Adaptive control of passifiable linear systems with quantized measurements and bounded disturbances (with A. Selivanov and A. L. Fradkov), Systems and Control Letters, vol. 88, pp. 62-67, Feb 2016.
↓Abstract

Nonlinear observers robust to measurement disturbances in an ISS sense (with H. Shim), IEEE Transactions on Automatic Control, vol. 61, no. 1, pp. 48-61, Jan 2016.
↓Abstract

Compensation of disturbances for MIMO systems with quantized output (with I. Furtat and A. L. Fradkov), Automatica, vol. 60, pp. 239-244, Oct 2015.
↓Abstract

Lyapunov-based small-gain theorems for hybrid systems (with D. Nesic and A. R. Teel), IEEE Transactions on Automatic Control, vol. 59, no. 6, pp. 1395-1410, Jun 2014.
↓Abstract

Finite data-rate feedback stabilization of switched and hybrid linear systems, Automatica, vol. 50, no. 2, pp. 409-420, Feb 2014.
↓Abstract

Supervisory control of uncertain systems with quantized information (with L. Vu), International Journal of Adaptive Control and Signal Processing (special issue on recent trends on the use of switching and mixing in adaptive control), vol. 26, no. 8, pp. 739–756, Aug 2012.
↓Abstract

Input-to-state stabilizing controller for systems with coarse quantization (with Y. Sharon), IEEE Transactions on Automatic Control, vol. 57, no. 4, pp. 830-844, Apr 2012.
↓Abstract

Rendezvous without coordinates (with J. Yu and S. LaValle), IEEE Transactions on Automatic Control, vol. 57, no. 2, pp. 421-434, Feb 2012.
↓Abstract

A unified framework for design and analysis of networked and quantized control systems (with D. Nesic), IEEE Transactions on Automatic Control, vol. 54, no. 4, pp. 732-747, Apr 2009.
↓Abstract

Nonlinear control with limited information, Communications in Information and Systems (Roger Brockett Legacy special issue), vol. 9, pp. 41-58, 2009.
↓Abstract

Input-to-state stabilization of linear systems with quantized state measurements (with D. Nesic), IEEE Transactions on Automatic Control, vol. 52, no. 5, pp. 767-781, May 2007.
↓Abstract

Quantization, time delays, and nonlinear stabilization, IEEE Transactions on Automatic Control, vol. 51, no. 7, pp. 1190-1195, Jul 2006.
↓Abstract

Quantized control via locational optimization (with F. Bullo), IEEE Transactions on Automatic Control, vol. 51, no. 1, pp. 2-13, Jan 2006.
↓Abstract

Stabilization of nonlinear systems with limited information feedback (with J. P. Hespanha), IEEE Transactions on Automatic Control, vol. 50, no. 6, pp. 910-915, Jun 2005.
↓Abstract

Hybrid feedback stabilization of systems with quantized signals, Automatica, vol. 39, no. 9, pp. 1543-1554, Sep 2003.
↓Abstract

On stabilization of linear systems with limited information, IEEE Transactions on Automatic Control, vol. 48, no. 2, pp. 304-307, Feb 2003.
↓Abstract

Quantized feedback stabilization of linear systems (with R. W. Brockett), IEEE Transactions on Automatic Control, vol. 45, no. 7, pp. 1279-1289, Jul 2000.
↓Abstract See also the slides of the talk given at the 4th SIAM Conference on Control and its Applications, Jacksonville, FL, May 1998.

Book chapters:

Input-to-state stabilization with quantized output feedback (with Y. Sharon), in Proceedings of the 11th International Workshop on Hybrid Systems: Computation and Control, St. Louis, MO, Apr 2008, Lecture Notes in Computer Science, vol. 4981 (M. Egerstedt and B. Mishra, Eds.), Springer, Berlin, pp. 500-513.
↓Abstract

Stability analysis of hybrid systems via small-gain theorems (with D. Nesic), in Proceedings of the Ninth International Workshop on Hybrid Systems: Computation and Control, Santa Barbara, CA, Mar 2006, Lecture Notes in Computer Science, vol. 3927 (J. Hespanha and A. Tiwari, Eds.), Springer, Berlin, pp. 421-435.
↓Abstract

On quantization and delay effects in nonlinear control systems, in Proceedings of the Workshop on Networked Embedded Sensing and Control, University of Notre Dame, South Bend, IN, Oct 2005, Lecture Notes in Control and Information Sciences, vol. 331 (P. J. Antsaklis and P. Tabuada, Eds.), Springer, Berlin, pp. 219-229.
↓Abstract See also the slides of the talk.

Nonlinear stabilization by hybrid quantized feedback, in Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control, Pittsburgh, PA, Mar 2000, Lecture Notes in Computer Science, vol. 1790 (N. Lynch and B. H. Krogh, Eds.), Springer, Berlin, pp. 243-257.
↓Abstract See also the slides of the talk.

Conferences:

Finite data-rate stabilization of a switched linear system with unknown disturbance (with G. Yang), in Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2016), Monterey, CA, Aug 2016, pp. 1103-1108.
↓Abstract

Entropy and minimal data rates for state estimation and model detection (with S. Mitra), in Proceedings of the 19th ACM International Conference on Hybrid Systems: Computation and Control (HSCC 2016), Vienna, Austria, Apr 2016, pp. 247-256.
↓Abstract

Quasi-optimality of event-based encoders (with J. Pearson and J. P. Hespanha), in Proceedings of the 54th IEEE Conference on Decision and Control, Osaka, Japan, Dec 2015, pp. 4800-4805.
↓Abstract

Stabilizing a switched linear system with disturbance by sampled-data quantized feedback (with G. Yang), in Proceedings of the American Control Conference, Chicago, IL, Jul 2015, pp. 2193-2198.
↓Abstract

Control with minimum communication cost per symbol (with J. Pearson and J. P. Hespanha), in Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, CA, Dec 2014, pp. 6050-6055.
↓Abstract

Cyclic pursuit without coordinates: convergence to regular polygon formations (with M. Arnold and Y. Baryshnikov), in Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, CA, Dec 2014, pp. 6191-6196.
↓Abstract See also the slides of the talk.

Passification-based adaptive control with quantized measurements (with A. Selivanov and A. L. Fradkov), in Proceedings of the 19th IFAC World Congress, Cape Town, South Africa, Aug 2014.
↓Abstract

Robust control with compensation of disturbances for systems with quantized output (with I. Furtat and A. L. Fradkov), in Proceedings of the 19th IFAC World Congress, Cape Town, South Africa, Aug 2014.
↓Abstract

Limited-information control of hybrid systems via reachable set propagation, in Proceedings of the 16th ACM International Conference on Hybrid Systems: Computation and Control (HSCC 2013), Philadelphia, PA, Apr 2013, pp. 11-19.
↓Abstract See also the slides of the talk.

Small-gain theorems of LaSalle type for hybrid systems (with D. Nesic and A. R. Teel), in Proceedings of the 51st IEEE Conference on Decision and Control, Maui, HI, Dec 2012, pp. 6825-6830.
↓Abstract See also the slides of the talk.

Stabilizing a switched linear system by sampled-data quantized feedback, in Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, FL, Dec 2011, pp. 8321-8326.
↓Abstract See also the slides of the talk.

Adaptive control using quantized measurements with application to vision-only landing control (with Y. Sharon and Y. Ma), in Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, GA, Dec 2010, pp. 2511-2516.
↓Abstract

Stabilization of linear systems under coarse quantization and time delays (with Y. Sharon), in Proceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems (NecSys), Annecy, France, Sep 2010, pp. 31-36.
↓Abstract See also the poster.

Quasi-ISS reduced-order observers and quantized output feedback (with H. Shim and J.-S. Kim), in Proceedings of the 48th IEEE Conference on Decision and Control, Shanghai, China, Dec 2009, pp. 6680-6685.
↓Abstract See also the slides of the talk.

Rendezvous without coordinates (with J. Yu and S. LaValle), in Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico, Dec 2008, pp. 1803-1808.
↓Abstract See also a more complete version.

Stabilizing uncertain systems with dynamic quantization (with L. Vu), in Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico, Dec 2008, pp. 4681-4686.
↓Abstract See also a more complete version.

Observer-based quantized output feedback control of nonlinear systems, in Proceedings of the 17th IFAC World Congress, Seoul, Korea, Jul 2008, pp. 8039-8043.
↓Abstract See also the slides of the talk.

Input-to-state stabilization with minimum number of quantization regions (with Y. Sharon), in Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, Dec 2007, pp. 20-25.
↓Abstract

A unified approach to controller design for systems with quantization and time scheduling (with D. Nesic), in Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, Dec 2007, pp. 3939-3944.
↓Abstract

Observer-based quantized output feedback control of nonlinear systems, in Proceedings of the 15th Mediterranean Conference on Control and Automation, Athens, Greece, Jun 2007.
↓Abstract See also the slides of the talk.

Input-to-state stabilization of linear systems with quantized feedback (with D. Nesic), in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, Dec 2005, pp. 8197-8202.
↓Abstract See also a more complete version.

A small-gain approach to stability analysis of hybrid systems (with D. Nesic), in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, Dec 2005, pp. 5409-5414.
↓Abstract See also the slides of the talk.

Stabilizing a nonlinear system with limited information feedback, in Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, HI, Dec 2003, pp. 182-186.
↓Abstract Also presented at the 1st International Symposium on Control, Communications and Signal Processing, Hammamet, Tunisia, Mar 2004 (click here for extended abstract).
See also the slides of the talk.

On quantized control and geometric optimization (with F. Bullo), in Proceedings of the 42nd IEEE Conference on Decision and Control, Maui, HI, Dec 2003, pp. 2567-2572.
↓AbstractSee also the slides of the talk.

A note on stabilization of linear systems using coding and limited communication, in Proceedings of the 41st IEEE Conference on Decision and Control, Las Vegas, NV, Dec 2002, pp. 836-841.
↓Abstract See also the slides of the talk.

Stabilization by quantized state or output feedback: a hybrid control approach, in Proceedings of the 15th IFAC World Congress, Barcelona, Spain, Jul 2002 (IFAC Young Author Prize paper).
↓Abstract See also the slides of the talk.

A hybrid control framework for systems with quantization, in Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, Dec 2001, pp. 1217-1222.
↓Abstract See also the slides of the talk.

Logic-based switching control of uncertain systems:

Journals: (jump down to Conferences)

Quantized adaptive stabilization of minimum-phase systems (with A. Selivanov and A. L. Fradkov), submitted, Jun 2016
↓Abstract

Adaptive control of passifiable linear systems with quantized measurements and bounded disturbances (with A. Selivanov and A. L. Fradkov), Systems and Control Letters, vol. 88, pp. 62-67, Feb 2016.
↓Abstract

The bang-bang funnel controller for uncertain nonlinear systems with arbitrary relative degree (with S. Trenn), IEEE Transactions on Automatic Control, vol. 58, no. 12, pp. 3126-3141, Dec 2013.
↓Abstract

Supervisory control of uncertain systems with quantized information (with L. Vu), International Journal of Adaptive Control and Signal Processing (special issue on recent trends on the use of switching and mixing in adaptive control), vol. 26, no. 8, pp. 739–756, Aug 2012.
↓Abstract

Supervisory control of uncertain linear time-varying systems (with L. Vu), IEEE Transactions on Automatic Control, vol. 56, no. 1, pp. 27-42, Jan 2011.
↓Abstract

Input-to-state stability of switched systems and switching adaptive control (with L. Vu and D. Chatterjee), Automatica, vol. 43, no. 4, pp. 639-646, Apr 2007.
↓Abstract

Overcoming the limitations of adaptive control by means of logic-based switching (with J. P. Hespanha and A. S. Morse), Systems and Control Letters, vol. 49, no. 1, pp. 49-65, May 2003.
↓Abstract

Hysteresis-based switching algorithms for supervisory control of uncertain systems (with J. P. Hespanha and A. S. Morse), Automatica, vol. 39, no. 2, pp. 263-272, Feb 2003.
↓Abstract

Supervision of integral-input-to-state stabilizing controllers (with J. P. Hespanha and A. S. Morse), Automatica, vol. 38, no. 8, pp. 1327-1335, Aug 2002.
↓Abstract

Output-input stability and minimum-phase nonlinear systems (with A. S. Morse and E. D. Sontag), IEEE Transactions on Automatic Control, vol. 47, no. 3, pp. 422-436, Mar 2002.
↓Abstract

Multiple model adaptive control with safe switching (with B. D. O. Anderson, T. S. Brinsmead, and A. S. Morse), International Journal of Adaptive Control and Signal Processing (invited paper), vol. 15, pp. 445-470, 2001.
↓Abstract

Multiple model adaptive control, part 2: Switching (with B. D. O. Anderson, T. S. Brinsmead, F. De Bruyne, J. P. Hespanha, and A. S. Morse), International Journal on Robust and Nonlinear Control (invited paper), vol. 11, pp. 479-496, 2001.
↓Abstract

Multiple model adaptive control, part 1: Finite controller coverings (with B. D. O. Anderson, T. S. Brinsmead, F. De Bruyne, J. P. Hespanha, and A. S. Morse), International Journal on Robust and Nonlinear Control (invited paper), vol. 10, pp. 909-929, 2000.
↓Abstract

Logic-based switching control of a nonholonomic system with parametric modeling uncertainty (with J. P. Hespanha and A. S. Morse), Systems and Control Letters (special issue on hybrid systems), vol. 38, no. 3, pp. 167-177, Nov 1999.
↓Abstract See also a parking movie.

Conferences:

Distributed linear supervisory control (with A. Khanafer and T. Basar), in Proceedings of the 53rd IEEE Conference on Decision and Control, Los Angeles, CA, Dec 2014, pp. 1458-1463.
↓Abstract

Passification-based adaptive control with quantized measurements (with A. Selivanov and A. L. Fradkov), in Proceedings of the 19th IFAC World Congress, Cape Town, South Africa, Aug 2014.
↓Abstract

Robust control with compensation of disturbances for systems with quantized output (with I. Furtat and A. L. Fradkov), in Proceedings of the 19th IFAC World Congress, Cape Town, South Africa, Aug 2014.
↓Abstract

The bang-bang funnel controller: time delays and case study (with S. Trenn), in Proceedings of the 2013 European Control Conference, Zurich, Switzerland, Jul 2013, pp. 1669-1674.
↓Abstract

The bang-bang funnel controller (with S. Trenn), in Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, GA, Dec 2010, pp. 690-695.
↓Abstract See also a more complete version.

Adaptive control using quantized measurements with application to vision-only landing control (with Y. Sharon and Y. Ma), in Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, GA, Dec 2010, pp. 2511-2516.
↓Abstract

Stabilizing uncertain systems with dynamic quantization (with L. Vu), in Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico, Dec 2008, pp. 4681-4686.
↓Abstract See also a more complete version.

Stability of interconnected switched systems and adaptive control of time-varying plants (with L. Vu), in Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, Dec 2007, pp. 4021-4026.
↓Abstract

ISS of switched systems and applications to switching adaptive control (with L. Vu and D. Chatterjee), in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, Seville, Spain, Dec 2005, pp. 120-125.
↓AbstractSee also the slides of the talk.

Hierarchical hysteresis switching (with J. P. Hespanha and A. S. Morse), in Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, Dec 2000, pp. 484-489.
↓Abstract See also the slides of the talk.

Bounds on the number of switchings with scale-independent hysteresis: applications to supervisory control (with J. P. Hespanha and A. S. Morse), in Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, Dec 2000, pp. 3622-3627.
↓Abstract

A new definition of the minimum-phase property for nonlinear systems, with an application to adaptive control (with A. S. Morse and E. D. Sontag), in Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, Dec 2000, pp. 2106-2111.
↓AbstractSee also the slides of the talk

Towards the supervisory control of uncertain nonholonomic systems (with J. P. Hespanha and A. S. Morse), in Proceedings of the 1999 American Control Conference, San Diego, CA, Jun 1999, pp. 3520-3524.
↓AbstractSee also the slides of the talk.

Stochastic systems:

Journals: (jump down to Conferences)

Stabilizing randomly switched systems (with D. Chatterjee), SIAM Journal on Control and Optimization, vol. 49, no. 5, pp. 2008-2031, 2011.
↓Abstract

On stability of randomly switched nonlinear systems (with D. Chatterjee), IEEE Transactions on Automatic Control, vol. 52, no. 12, pp. 2390-2394, Dec 2007.
↓Abstract

Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions (with D. Chatterjee), SIAM Journal on Control and Optimization, vol. 45, no. 1, pp. 174-206, 2006.
↓Abstract

Nonlinear feedback systems perturbed by noise: steady-state probability distributions and optimal control (with R. W. Brockett), IEEE Transactions on Automatic Control, vol. 45, no. 6, pp. 1116-1130, Jun 2000.
↓Abstract

Spectral analysis of Fokker-Planck and related operators arising from linear stochastic differential equations (with R. W. Brockett), SIAM Journal on Control and Optimization, vol. 38, no. 5, pp. 1453-1467, May 2000.
↓Abstract

Conferences:

Towards ISS disturbance attenuation for randomly switched systems (with D. Chatterjee), in Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, LA, Dec 2007, pp. 5612-5617.
↓Abstract

Stability and stabilization of randomly switched systems (with D. Chatterjee), in Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, CA, Dec 2006, pp. 2643-2648.
↓Abstract See also a more complete version.

On stability of stochastic switched systems (with D. Chatterjee), in Proceedings of the 43rd IEEE Conference on Decision and Control, Paradise Island, Bahamas, Dec 2004, pp. 4125-4127.
↓Abstract See also the slides of the talk.

Quantized feedback systems perturbed by white noise (with R. W. Brockett), in Proceedings of the 37th IEEE Conference on Decision and Control, Tampa, FL, Dec 1998, pp. 1327-1328.
↓Abstract See also the slides of the talk.

On explicit steady-state solutions of Fokker-Planck equations for a class of nonlinear feedback systems (with R. W. Brockett), in Proceedings of the 1998 American Control Conference, Philadelphia, PA, Jun 1998, pp. 264-268.
↓AbstractSee also the slides of the talk.

Other publications

Book review: Analysis and Design of Networked Control Systems by K. You, N. Xiao, and L. Xie, Automatica, vol. 68, pp. 397–398, Jun 2016.

Letter: Leaving a lasting mark, IEEE Control Systems Magazine, vol. 35, no. 2, pp. 19-20, Apr 2015.

Interview: People in Control, IEEE Control Systems Magazine, vol. 27, no. 6, pp. 40-42, Dec 2007.

Book review: Liapunov Functions and Stability in Control Theory, 2nd edition by A. Bacciotti and L. Rosier, Automatica, vol. 41, no. 12, pp. 2183-2184, Dec 2005.

Book review: Hybrid Dynamical Systems: Controller and Sensor Switching Problems by A. V. Savkin and R. J. Evans, International Journal of Hybrid Systems, vol. 4, pp. 161-164, Mar/Jun 2004.

Book review: Qualitative Theory of Hybrid Dynamical Systems by A. S. Matveev and A. V. Savkin, Automatica, vol. 39, no. 2, pp. 368-369, Feb 2003.

Editorial: Switching and Logic in Adaptive Control, special issue of the International Journal of Adaptive Control and Signal Processing (edited by J. P. Hespanha and D. Liberzon), vol. 15, no. 3, 2001. Editorial.

Thesis: Asymptotic Properties of Nonlinear Feedback Control Systems, Ph.D. Thesis, Department of Mathematics, Brandeis University, Waltham, MA, Feb 1998.
↓Abstract

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