Robust matrix commutator conditions for stability of switched linear systems under restricted switching

Kundu, A and Chatterjee, D (2020) Robust matrix commutator conditions for stability of switched linear systems under restricted switching. In: Automatica, 115 .

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Abstract

This article treats global uniform exponential stability (GUES) of discrete-time switched linear systems under restricted switching. Given admissible minimum and maximum dwell times, we provide sufficient conditions on the subsystems under which they admit a set of switching signals that obeys the given restrictions on dwell times and preserves stability of the resulting switched system. Our analysis relies on combinatorial arguments applied to matrix commutators. The proposed set of stabilizing switching signals is characterized in terms of duration of activation of Schur stable subsystems and non-consecutive activation of distinct unstable subsystems.

Item Type:	Journal Article
Publication:	Automatica
Publisher:	Elsevier Ltd
Additional Information:	The copyright of this article belongs to Elsevier Ltd
Keywords:	Chemical activation; Convergence of numerical methods; Linear systems; Matrix algebra; Switching, Discrete time; Dwell time; Mathematical induction; Matrix commutators; Switched linear system; Switched system; Switching signals; Uniform exponential stability, System stability
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	10 Aug 2020 12:01
Last Modified:	10 Aug 2020 12:01
URI:	http://eprints.iisc.ac.in/id/eprint/64812

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