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The Krakovskii-LaSalle Invariance Principle for a Class of Unilateral Dynamical Systems

Authors:	Bernard Brogliato Daniel Goeleven

Affiliation:	(1) INRIA Rhônes-Alpes, BipOp project, 655 avenue de lEurope, 38334 Saint-Ismier, France;(2) IREMIA, University of La Réunion, 97400 Saint-Denis, France

Abstract:	This paper is devoted to the study of the extension of the invariance lemma to a class of hybrid dynamical systems, namely evolution variational inequalities. Applications can be found in models of electrical circuits with ideal diodes or oligopolistic market equilibrium.Acknowledgements. This work was partially supported by the European project SICONOS IST2001-37172.

Keywords:	Lyapunov stability Unilateral constraints LaSalle invariance principle Variational inequalities Convex analysis Hybrid dynamics
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