Yet another matrix commutator condition for stabilizability of discrete-time switched linear systems

Kundu, A (2021) Yet another matrix commutator condition for stabilizability of discrete-time switched linear systems. In: 1 July 2021 7th IFAC Conference on Analysis and Design of Hybrid Systems, ADHS 2021, 7-9 Jul 2021, Brussels, pp. 145-150.

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Abstract

This paper deals with stability of discrete-time switched linear systems whose all subsystems are unstable.We present sufficient conditions on the subsystems matrices such that a switched system is globally exponentially stable under a set of purely time-dependent switching signals that are allowed to activate all subsystems. The main apparatuses for our analysis are (matrix) commutation relations between certain products of the subsystems matrices and graph-theoretic arguments. We present a numerical experiment to demonstrate our results. © 2021 Elsevier B.V.. All rights reserved.

Item Type:	Conference Paper
Publication:	IFAC-PapersOnLine
Publisher:	Elsevier B.V.
Additional Information:	The copyright for this article belongs to Authors
Keywords:	Graph theory; Linear systems; System stability, Condition; Discrete time; Globally exponentially stable; matrix; Matrix commutators; Stabilizability; Switched linear system; Switched system; Switching signals; Time dependent, Matrix algebra
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	03 Dec 2021 08:49
Last Modified:	03 Dec 2021 08:49
URI:	http://eprints.iisc.ac.in/id/eprint/70632

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