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Finite-Time Stabilization of Switched Systems with Time-Varying Delay

Mengxiao Deng and Yali Dong*
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Mengxiao Deng: School of Mathematical Sciences, Tiangong University, Tianjin 300387, China
Yali Dong*: School of Mathematical Sciences, Tiangong University, Tianjin 300387, China

Academic Journal of Applied Mathematical Sciences, 2020, vol. 6, issue 4, 24-31

Abstract: This paper studies the problem of finite-time stabilization of a class of switched linear time-varying delay systems. An event-triggered sampling mechanism and an event-triggered state feedback control are proposed. Based on Lyapunov-like function method, linear matrix inequality technique and averaged dwell time method, sufficient conditions for switched delay systems under event-triggered state feedback control are given to ensure the finite-time stabilization of the switched delay systems. Finally, a numerical example is given to verify the validity of the proposed results.

Keywords: Switched delay system; Event-triggered mechanism; Finite-time stable; Average dwell time. (search for similar items in EconPapers)
Date: 2020
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