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Stability analysis for uncertain switched neutral systems with discrete time-varying delay: A delay-dependent method

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  • Liu, Duyu
  • Zhong, Shouming
  • Liu, Xinzhi
  • Huang, Yuanqing

Abstract

This paper considers the robust stability of a class of switched neutral systems with discrete time-varying delay and time-varying structure. Sufficient conditions for exponential stability criteria are developed for arbitrary switching signal with average dwell time. The results are obtained based on Lyapunov’s stability analysis via Krasovsky–Lyapunov’s functionals and the related stability study is performed to obtain delay-dependent results. It is proved that the stabilizing switching rule is arbitrary if all the switched subsystems are exponentially stabile. These conditions are delay-dependent and are given in the form of linear matrix inequalities (LMIs). Some examples are worked out to illustrate the effectiveness of the result.

Suggested Citation

  • Liu, Duyu & Zhong, Shouming & Liu, Xinzhi & Huang, Yuanqing, 2009. "Stability analysis for uncertain switched neutral systems with discrete time-varying delay: A delay-dependent method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(2), pages 436-448.
    • Handle: RePEc:eee:matcom:v:80:y:2009:i:2:p:436-448
    DOI: 10.1016/j.matcom.2009.08.002
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    References listed on IDEAS

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    1. Liu, Xin-Ge & Wu, Min & Martin, Ralph & Tang, Mei-Lan, 2007. "Delay-dependent stability analysis for uncertain neutral systems with time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(1), pages 15-27.
    2. Park, Ju H., 2002. "Stability criterion for neutral differential systems with mixed multiple time-varying delay arguments," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 59(5), pages 401-412.
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    Cited by:

    1. Hamid Ghadiri & Hamed Khodadadi & Saleh Mobayen & Jihad H. Asad & Thaned Rojsiraphisal & Arthur Chang, 2021. "Observer-Based Robust Control Method for Switched Neutral Systems in the Presence of Interval Time-Varying Delays," Mathematics, MDPI, vol. 9(19), pages 1-20, October.

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