Finite-time stability of singular switched systems with a time-varying delay based on an event-triggered mechanism

Yidan Wang; Li Xiao; Yanfeng Guo; Yidan Wang; Li Xiao; Yanfeng Guo

doi:10.3934/math.2023098

AIMS Mathematics

2023, Volume 8, Issue 1: 1901-1924. doi: 10.3934/math.2023098

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Research article

Finite-time stability of singular switched systems with a time-varying delay based on an event-triggered mechanism

Department of Mathematics and Physics, China University of Geosciences, 388 Lumo Road, Wuhan, Hubei, China

Received: 11 August 2021 Revised: 22 September 2021 Accepted: 13 October 2021 Published: 26 October 2022
MSC : 34A36, 34D20, 34K20

In this paper, the finite-time stability (FTS) of singular switched systems that have time-varying delays and perturbations is investigated. First, the concept of the FTS of time-varying delay singular switched systems is given, and a specific event-triggered mechanism is proposed. Then, a state feedback mechanism is proposed based on the event-triggered mechanism. Second, using the L-K function and state space decomposition, adequate criteria for the FTS of singular switched systems are found. Sufficient requirements are also presented for meeting the finite-time stable $ H_\infty $ performance index $ \gamma $.
- event-triggered mechanism singular switched systems,
- finite-time stabilization,
- time-varying delay
Citation: Yidan Wang, Li Xiao, Yanfeng Guo. Finite-time stability of singular switched systems with a time-varying delay based on an event-triggered mechanism[J]. AIMS Mathematics, 2023, 8(1): 1901-1924. doi: 10.3934/math.2023098

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Abstract

In this paper, the finite-time stability (FTS) of singular switched systems that have time-varying delays and perturbations is investigated. First, the concept of the FTS of time-varying delay singular switched systems is given, and a specific event-triggered mechanism is proposed. Then, a state feedback mechanism is proposed based on the event-triggered mechanism. Second, using the L-K function and state space decomposition, adequate criteria for the FTS of singular switched systems are found. Sufficient requirements are also presented for meeting the finite-time stable $ H_\infty $ performance index $ \gamma $.

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