Asymptotic characterization of destabilizing switching signals for switched linear systems

Kundu, A (2019) Asymptotic characterization of destabilizing switching signals for switched linear systems. In: 2019 6th Indian Control Conference (ICC) 2019, 18-20 Dec. 2019, Hyderabad, India, India, pp. 40-45.

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Abstract

This paper deals with destabilizing switching signals for continuous-time switched linear systems. Our contributions are twofold: Firstly, we propose a class of switching signals under which a switched system is unstable. Our characterization of instability depends solely on the asymptotic behaviour of frequency of switching, frequency of transition between subsystems, and fraction of activation of subsystems. Secondly, we show that our class of destabilizing switching signals is a strict subset of the class of switching signals that does not satisfy asymptotic characterization of stability recently proposed in the literature. This observation identifies a gap between asymptotic characterizations of stabilizing and destabilizing switching signals for switched linear systems. © 2019 IEEE.

Item Type:	Conference Paper
Publication:	2019 6th Indian Control Conference, ICC 2019 - Proceedings
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	cited By 0; Conference of 6th Indian Control Conference, ICC 2019 ; Conference Date: 18 December 2019 Through 20 December 2019; Conference Code:161423
Keywords:	Continuous time systems; Linear systems, Asymptotic behaviour; Continuous-time; Switched linear system; Switched system; Switching signals, Switching
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	20 Oct 2020 09:11
Last Modified:	20 Oct 2020 09:11
URI:	http://eprints.iisc.ac.in/id/eprint/66125

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