4.4 Time-optimal control problems

Time-optimal control problems not only provide a useful illustration of the maximum principle, but also have several important features that make them interesting in their own right. Among these are the bang-bang principle and connections with Lie brackets, to be discussed in this section. We organize the material so as to progress from more specific to more general settings, and we begin by revisiting Example 1.1 from Section 1.1.

- 4.4.1 Example: double integrator
- 4.4.2 Bang-bang principle for linear systems
- 4.4.3 Nonlinear systems, singular controls, and Lie brackets
- 4.4.4 Fuller's problem

Daniel 2010-12-20