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Avoiding Skylla and Charybdis

In: Viability Theory

Author

Listed:
  • Jean-Pierre Aubin

    (VIMADES)

  • Alexandre M. Bayen

    (University of California at Berkeley, Electrical Engineering and Computer Sciences Civil and Environmental Engineering)

  • Patrick Saint-Pierre

    (Université Paris Dauphine LEDA-SDFi)

Abstract

This chapter provides a same viability framework with two-dimensional nonsmooth environments and targets and a nonlinear control system for which we illustrate and compare basic concepts, such as minimal length and exit time functions, minimal time, Lyapunov and value function of an optimal control problem.

Suggested Citation

  • Jean-Pierre Aubin & Alexandre M. Bayen & Patrick Saint-Pierre, 2011. "Avoiding Skylla and Charybdis," Springer Books, in: Viability Theory, chapter 0, pages 179-197, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-16684-6_5
    DOI: 10.1007/978-3-642-16684-6_5
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