Asymptotic stability of uniformly bounded nonlinear switched systems

Philippe Jouan; Said Naciri

doi:10.3934/mcrf.2013.3.323

Article Contents

2013, Volume 3, Issue 3: 323-345. Doi: 10.3934/mcrf.2013.3.323

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Asymptotic stability of uniformly bounded nonlinear switched systems

Philippe Jouan^1, and
Said Naciri^1,

1.
Université de Rouen, Laboratoire de Mathématiques Raphaël Salem, CNRS, UMR 6085, Avenue de luniversité, BP 12, 76801 Saint-Etienne du Rouvray Cedex

Received: September 30, 2012

Revised: February 28, 2013

Published: August 2013

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Abstract

We study the asymptotic stability properties of nonlinear switched systems under the assumption of the existence of a common weak Lyapunov function.
We consider the class of nonchaotic inputs, which generalize the different notions of inputs with dwell-time, and the class of general ones. For each of them we provide some sufficient conditions for asymptotic stability in terms of the geometry of certain sets.

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Mathematics Subject Classification: Primary: 93C10, 93D20; Secondary: 37N35.

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References

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