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On robust Lie-algebraic stability conditions for switched linear systems

TitleOn robust Lie-algebraic stability conditions for switched linear systems
Publication TypeJournal Article
Year of Publication2012
AuthorsAgrachev, AA, Baryshnikov, Y, Liberzon, D
JournalSystems and Control Letters. Volume 61, Issue 2, February 2012, Pages 347-353
Abstract

This paper presents new sufficient conditions for exponential stability of switched linear systems under arbitrary switching, which involve the commutators (Lie brackets) among the given matrices generating the switched system. The main novelty feature of these stability criteria is that, unlike their earlier counterparts, they are robust with respect to small perturbations of the system parameters.

URLhttp://hdl.handle.net/1963/6455
DOI10.1016/j.sysconle.2011.11.016

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