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An extension of LaSalle's invariance principle for switched systems
Authors:J.L. Mancilla-Aguilar,R.A. Garcí  a,
Affiliation:aDepartment of Mathematics, Faculty of Engineering, University of Buenos Aires, Argentina;bDepartment of Physics and Mathematics Instituto Tecnológico de Buenos Aires, Argentina
Abstract:In this paper we address invariance principles for a certain class of switched nonlinear systems. We provide an extension of LaSalle's invariance principle for these systems and state asymptotic stability criteria. We also present some related results on the compactness of the trajectories of these switched systems.
Keywords:Switched systems   Lyapunov method   Invariance principles   Stability   Hybrid systems
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