A randomized algorithm for the stabilization of switched nonlinear systems under restricted switching

Kundu, A (2021) A randomized algorithm for the stabilization of switched nonlinear systems under restricted switching. In: 2021 European Control Conference, ECC 2021 . pp. 1162-1167.

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Abstract

This paper deals with input/output-to-state stability (IOSS) of switched nonlinear systems in the discrete-time setting. We present an algorithm to construct periodic switching signals that obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems, and identify sufficient conditions on the individual subsystems, the admissible switches and admissible dwell times under which a switching signal obtained from our algorithm preserves stability of a switched system with overwhelming probability. We recover our earlier result on probabilistic techniques for the design of switching signals that preserve global asymptotic stability of switched linear systems under sufficient conditions on the properties of the individual subsystems and the admissible dwell times on the subsystems. © 2021 EUCA.

Item Type:	Journal Article
Publication:	2021 European Control Conference, ECC 2021
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright for this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords:	Asymptotic stability; Linear systems; Nonlinear systems; System stability; Time switches, Condition; Discrete time; Dwell time; Input-output-to-state stabilities; Periodic switching; Probabilistic technique; Randomized Algorithms; Switched non-linear systems; Switched system; Switching signals, Switching
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	09 Mar 2022 10:32
Last Modified:	09 Mar 2022 10:32
URI:	http://eprints.iisc.ac.in/id/eprint/71546

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