Input/output-to-state stability of discrete-time switched nonlinear systems under restricted switching

Kundu, A (2019) Input/output-to-state stability of discrete-time switched nonlinear systems under restricted switching. In: 5th Indian Control Conference, ICC 2019, 9 January 2019 - 11 January 2019, Delhi, pp. 495-499.

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Abstract

We study input/output-to-state stability (IOSS) of discrete-time switched nonlinear systems. The switching signals obey two types of restrictions: first, transitions between subsystems are restricted, and second, minimum and maximum dwell time on subsystems are restricted. Given a family of systems such that not all systems in the family are IOSS, our objective is to construct a time-dependent switching signal that ensures IOSS of the resulting switched system under the above restrictions. We report that the algorithm proposed in 5 for constructing a stabilizing periodic switching signal for continuous-time switched nonlinear systems, extends to the discrete-time setting under standard assumptions. Multiple Lyapunov-like functions and graph-theoretic tools are the primary apparatuses for our analysis.

Item Type:	Conference Paper
Publication:	2019 5th Indian Control Conference, ICC 2019 - Proceedings
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:	Directed graphs; Graph theory; Lyapunov functions; Nonlinear systems; Switching; System stability, Discrete-time switched system; Input/output-to-state stabilities (IOSS); Input/output-to-state stability; Multiple Lyapunov function; Multiple Lyapunov-like functions; Standard assumptions; Switched non-linear systems; Switching signals, Continuous time systems
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	27 Dec 2022 05:06
Last Modified:	27 Dec 2022 05:06
URI:	https://eprints.iisc.ac.in/id/eprint/78572

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