Stabilizing switched systems under a class of restricted switching signals

Kundu, A (2021) Stabilizing switched systems under a class of restricted switching signals. In: 60th IEEE Conference on Decision and Control, CDC 2021, 13-17 Dec 2021, Austin, TX, USA, pp. 3210-3215.

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Abstract

This paper deals with stability of continuoustime switched nonlinear systems whose switching signals obey pre-specified restrictions on admissible switches between the subsystems and admissible dwell times on the subsystems. Given a family of systems, possibly containing unstable dynamics, and the restrictions on the set of admissible switching signals, we identify a class of switching signals that obeys these restrictions and preserves input/output-to-state stability (IOSS) of the resulting switched system. The primary apparatus for our analysis is multiple Lyapunov-like functions. Input-to-state stability (ISS) and global asymptotic stability (GAS) of switched systems under pre-specified restrictions on switching signals are special cases of our results when no outputs (resp., also inputs) are considered. © 2021 IEEE.

Item Type:	Conference Paper
Publication:	Proceedings of the IEEE Conference on Decision and Control
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:	Switching; System stability, Continous time; Dwell time; Global asymptotic stability; Input-output-to-state stabilities; Input-to-state stability; Multiple Lyapunov-like functions; Switched non-linear systems; Switched system; Switching signals; Unstable dynamics, Asymptotic stability
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	16 May 2022 06:27
Last Modified:	16 May 2022 06:27
URI:	https://eprints.iisc.ac.in/id/eprint/71669

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