Asymptotic stability of uniformly bounded nonlinear switched systems | Zendy

Philippe Jouan | Zendy; Saïd Naciri | Zendy

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Asymptotic stability of uniformly bounded nonlinear switched systems

Author(s) -

Philippe Jouan,

Saïd Naciri

Publication year - 2013

Publication title -

mathematical control and related fields

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.658

H-Index - 21

eISSN - 2156-8472

pISSN - 2156-8499

DOI - 10.3934/mcrf.2013.3.323

Subject(s) - mathematics , exponential stability , bounded function , class (philosophy) , nonlinear system , lyapunov function , stability (learning theory) , dwell time , function (biology) , mathematical analysis , control theory (sociology) , computer science , physics , control (management) , medicine , clinical psychology , quantum mechanics , artificial intelligence , machine learning , evolutionary biology , biology

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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