Lyapunov Functions under LaSalle Conditions with an Application to Lotka-Volterra Systems

Frédéric Mazenc 1, 2 Michael Malisoff 3
1 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
Abstract : We provide new techniques for building explicit global strict Lyapunov functions for broad classes of time varying nonlinear systems satisfying LaSalle conditions. Our new constructions are simpler than the designs available in the literature. We illustrate our work using the Lotka-Volterra model, which plays a fundamental role in bioengineering.
Type de document :
Communication dans un congrès
American Control Conference 2009, 2009, Saint-Louis, United States. IEEE Press, 1-9, pp.96-101, 2009, ACC '09. Proceedings of the American Control Conference
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Contributeur : Alain Rapaport <>
Soumis le : jeudi 5 septembre 2013 - 15:38:37
Dernière modification le : samedi 27 janvier 2018 - 01:31:26

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  • HAL Id : hal-00858565, version 1

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Frédéric Mazenc, Michael Malisoff. Lyapunov Functions under LaSalle Conditions with an Application to Lotka-Volterra Systems. American Control Conference 2009, 2009, Saint-Louis, United States. IEEE Press, 1-9, pp.96-101, 2009, ACC '09. Proceedings of the American Control Conference. 〈hal-00858565〉

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