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Stabilizing switching signals for switched linear systems
"... Abstract. This article deals with stability of continuoustime switched linear systems under constrained switching. Given a family of linear systems, possibly containing unstable dynamics, we characterize a new class of switching signals under which the switched linear system generated by it and th ..."
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Abstract. This article deals with stability of continuoustime switched linear systems under constrained switching. Given a family of linear systems, possibly containing unstable dynamics, we characterize a new class of switching signals under which the switched linear system generated by it and the family of systems is globally asymptotically stable. Our characterization of such stabilizing switching signals involves the asymptotic frequency of switching, the asymptotic fraction of activation of the constituent systems, and the asymptotic densities of admissible transitions among them. Our techniques employ multiple Lyapunovlike functions, and extend preceding results both in scope and applicability. 1.
Asymptotic Stability of Uniformly Bounded Nonlinear Switched Systems
, 2012
"... 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 dwelltime, and the class of general ones. For each o ..."
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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 dwelltime, 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. The results, which extend those of [5], are illustrated by many examples.
Asymptotic Stability of Uniformly Bounded Nonlinear Switched Systems
, 2014
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