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Convergence and Viability Theorems

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 is mainly devoted to the proof of a series of Viability Theorems leading to Theorem 11.3.4, p.393. This is done by approximating the differential inclusion by the simple explicit finite-difference scheme (the Euler method). In this setting, being a discrete scheme, the viability characterization of an environment is trivial (see Theorem 2.9.3, p.72).

Suggested Citation

  • Jean-Pierre Aubin & Alexandre M. Bayen & Patrick Saint-Pierre, 2011. "Convergence and Viability Theorems," Springer Books, in: Viability Theory, chapter 0, pages 769-787, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-16684-6_19
    DOI: 10.1007/978-3-642-16684-6_19
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