Avoiding Skylla and Charybdis

  • Jean-Pierre Aubin
  • Alexandre M. Bayen
  • Patrick Saint-Pierre
Chapter

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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Jean-Pierre Aubin
    • 1
  • Alexandre M. Bayen
    • 2
  • Patrick Saint-Pierre
    • 3
  1. 1.VIMADESParisFrance
  2. 2.Electrical Engineering and Computer Sciences Civil and Environmental EngineeringUniversity of California at BerkeleyBerkeleyUSA
  3. 3.Université Paris Dauphine LEDA-SDFiClamartFrance

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