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Finite-Time Stability and Stabilization of Switched Linear Time-Varying Systems with Time-Varying Delay

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  • Lulu Feng
  • Ping Zhao

Abstract

This paper deals with the finite-time stability (FTS) of switched linear time-varying (SLTV) systems with time-varying delay. Firstly, based on Lyapunov–Krasovskii functional technique and average dwell time (ADT) approach, a sufficient criterion on FTS for SLTV systems with time-varying delay is obtained. For the SLTV system with delay and control input, based on the criterion, a state feedback controller is designed such that the closed-loop system is finite-time stable (FTS). Finally, an example is employed to illustrate the validity of our results.

Suggested Citation

  • Lulu Feng & Ping Zhao, 2021. "Finite-Time Stability and Stabilization of Switched Linear Time-Varying Systems with Time-Varying Delay," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-8, January.
    • Handle: RePEc:hin:jnlmpe:8880744
    DOI: 10.1155/2021/8880744
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