Restoring Viability

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


There is no reason why an arbitrary subset K should be viable under a given control system. The introduction of the concept of viability kernel does not exhaust the problem of restoring viability by keeping the same dynamics of the control system and “shrinking” the environment to its viability kernel. We devote this chapter to two other methods for restoring viability without changing the environment.


Variational Inequality Connection Matrix Closed Convex Hull Connection Matrice Graphical Restriction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations