Further results on input-to-state stability for nonlinear systems with delayed feedbacks

Frédéric Mazenc 1 Michael Malisoff 2 Zongli Lin
1 MERE - Water Resource Modeling
CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique : UMR0729
Abstract : We consider a class of nonlinear control systems for which stabilizing feedbacks and corresponding Lyapunov functions for the closed-loop systems are available. In the presence of feedback delays and actuator errors, we explicitly construct input-to-state stability (ISS) Lyapunov-Krasovskii functionals for the resulting feedback delayed dynamics, in terms of the available Lyapunov functions for the original undelayed dynamics, which establishes that the closed-loop systems are input-to-state stable (ISS) with respect to actuator errors. We illustrate our results using a generalized system from identification theory and other examples.
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Article dans une revue
Automatica, Elsevier, 2008, 44 (9), pp.2415-2421. 〈10.1016/j.automatica.2008.01.024〉
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Contributeur : Alain Rapaport <>
Soumis le : mercredi 4 septembre 2013 - 10:02:42
Dernière modification le : vendredi 12 janvier 2018 - 11:03:29

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Frédéric Mazenc, Michael Malisoff, Zongli Lin. Further results on input-to-state stability for nonlinear systems with delayed feedbacks. Automatica, Elsevier, 2008, 44 (9), pp.2415-2421. 〈10.1016/j.automatica.2008.01.024〉. 〈hal-00857808〉

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