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Restoring Viability

Jean-Pierre Aubin (), Alexandre M. Bayen () and Patrick Saint-Pierre ()
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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

Chapter Chapter 12 in Viability Theory, 2011, pp 485-520 from Springer

Abstract: Abstract 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.

Keywords: Variational Inequality; Connection Matrix; Closed Convex Hull; Connection Matrice; Graphical Restriction (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-16684-6_12

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DOI: 10.1007/978-3-642-16684-6_12

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