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The new stability criteria of discrete-time switched systems with an improved mode dependent average dwell time approach

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  • Yu, Qiang
  • Lv, Hao

Abstract

This paper investigates the stability analysis of discrete-time switched systems with two subsystems (DSTSs). By the modified mode-dependent average dwell time (MDADT) approach, new stability criteria of DSTSs are obtained in both nonlinear and linear contexts, which are less conservative and more applicable in practice than those existing results. The design of stabilizing controller for linear DSTSs also is addressed by using LMIs. At last, three numerical examples with some comparisons to the existing results are involved to illustrate the superiority of the results in the paper.

Suggested Citation

  • Yu, Qiang & Lv, Hao, 2020. "The new stability criteria of discrete-time switched systems with an improved mode dependent average dwell time approach," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    • Handle: RePEc:eee:apmaco:v:366:y:2020:i:c:s0096300319307222
    DOI: 10.1016/j.amc.2019.124730
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    References listed on IDEAS

    as
    1. Li, Jian & Wu, Chun-Yu, 2017. "Finite-time fault detection filter design for discrete-time interconnected systems with average dwell time," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 259-270.
    2. Yu, Qiang & Zhao, Xudong, 2016. "Stability analysis of discrete-time switched linear systems with unstable subsystems," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 718-725.
    3. Zhikun She & Junjie Lu & Quanyi Liang & Shuzhi Sam Ge, 2017. "Dwell time based stabilisability criteria for discrete-time switched systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(14), pages 3087-3097, October.
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