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Communication dans un congrès

Further constructions of strict lyapunov functions for time-varying systems

Michael Malisoff 1 Frédéric Mazenc 2, 3
3 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
Abstract : We announce new methods for explicitly constructing strict input-to-state stable (ISS) Lyapunov functions for time-varying nonlinear systems. Our constructions are expressed in terms of nonstrict ISS Lyapunov functions which we assume are given. The nonstrict Lyapunov functions can in turn he constructed by known methods for many systems of interest. We also provide a new method for explicitly constructing input-to-output stable (IOS) Lyapunov functions for time-varying systems with outputs. We illustrate our results using a tracking problem for a rotating rigid body.
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Communication dans un congrès
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https://hal.inrae.fr/hal-02763733
Déposant : Migration Prodinra <>
Soumis le : jeudi 4 juin 2020 - 07:23:55
Dernière modification le : vendredi 11 septembre 2020 - 13:20:07

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Michael Malisoff, Frédéric Mazenc. Further constructions of strict lyapunov functions for time-varying systems. American Control Conference 2005, Jun 2005, Portland, United States. ⟨10.1109/ACC.2005.1470244⟩. ⟨hal-02763733⟩

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