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 |
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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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