Stabilization of time-varying nonlinear systems with time delays using a trajectory based approach

Frédéric Mazenc 1 M. Malisoff 2
1 DISCO - Dynamical Interconnected Systems in COmplex Environments
L2S - Laboratoire des signaux et systèmes, Inria Saclay - Ile de France, SUPELEC, CNRS - Centre National de la Recherche Scientifique : UMR8506
Abstract : We provide a framework to prove stability for nonlinear systems that may have delays and discontinuities. Instead of the usual Lyapunov or small gain methods, our trajectory based approach entails verifying certain inequalities along solutions of auxiliary systems. In some cases, we obtain input-to-state stability under uncertainty. Our work applies to time-varying systems with time-varying delay, ODE coupled with difference equations, networked systems, and interconnected and descriptor systems, and so may help overcome the challenges of applying the known methods in applications.
Type de document :
Communication dans un congrès
IEEE American Control Conference 2014, Jun 2014, Portland, United States. 〈10.1109/acc.2014.6858616 〉
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https://hal.inria.fr/hal-01088225
Contributeur : Frederic Mazenc <>
Soumis le : jeudi 27 novembre 2014 - 16:46:00
Dernière modification le : vendredi 27 avril 2018 - 14:42:02

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Frédéric Mazenc, M. Malisoff. Stabilization of time-varying nonlinear systems with time delays using a trajectory based approach. IEEE American Control Conference 2014, Jun 2014, Portland, United States. 〈10.1109/acc.2014.6858616 〉. 〈hal-01088225〉

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