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

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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.

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Authors and Affiliations

  1. INRIA Rhônes-Alpes, BipOp project, 655 avenue de l’Europe, 38334, Saint-Ismier, France

    Bernard Brogliato

  2. IREMIA, University of La Réunion, 97400, Saint-Denis, France

    Daniel Goeleven

Authors
  1. Bernard Brogliato
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  2. Daniel Goeleven
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Correspondence to Bernard Brogliato.

Additional information

Acknowledgements. This work was partially supported by the European project SICONOS IST2001-37172.

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Brogliato, B., Goeleven, D. The Krakovskii-LaSalle Invariance Principle for a Class of Unilateral Dynamical Systems. Math. Control Signals Systems 17, 57–76 (2005). https://doi.org/10.1007/s00498-004-0145-0

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  • DOI: https://doi.org/10.1007/s00498-004-0145-0

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