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Stability analysis of nonlinear switched systems with sampled-data controllers

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  • Wang, Zhichuang
  • Chen, Guoliang
  • Ba, Hezhen

Abstract

This paper addresses the problem of global stability of nonlinear switched systems with sampled-data controllers. By using multiple Lyapunov functions, we obtain sufficient conditions to guarantee nonlinear switched sampled-data systems with arbitrary finite transmission delay are globally exponentially stable. What is more, utilizing the nonlinear emulation techniques, the stability criteria for nonlinear switched sampled-data systems are also derived. Meanwhile, we also present the region of attraction for nonlinear switched sampled-data systems. Finally, some simulation results are presented to verify the validity of our proposed methods.

Suggested Citation

  • Wang, Zhichuang & Chen, Guoliang & Ba, Hezhen, 2019. "Stability analysis of nonlinear switched systems with sampled-data controllers," Applied Mathematics and Computation, Elsevier, vol. 357(C), pages 297-309.
    • Handle: RePEc:eee:apmaco:v:357:y:2019:i:c:p:297-309
    DOI: 10.1016/j.amc.2019.04.006
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    References listed on IDEAS

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    9. Yang, Te & Chen, Guoliang & Xia, Jianwei & Wang, Zhen & Sun, Qun, 2019. "Robust H∞ filtering for polytopic uncertain stochastic systems under quantized sampled outputs," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 688-701.
    10. Liu, Lei & Zhou, Qi & Liang, Hongjing & Wang, Lijie, 2017. "Stability and Stabilization of Nonlinear Switched Systems Under Average Dwell Time," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 77-94.
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    Cited by:

    1. Li, Shuo & Xiang, Zhengrong, 2020. "Positivity, exponential stability and disturbance attenuation performance for singular switched positive systems with time-varying distributed delays," Applied Mathematics and Computation, Elsevier, vol. 372(C).
    2. Hou, Linlin & Li, Yao & Luo, Wende & Sun, Haibin, 2022. "Adaptive tracking control of switched cyber-physical systems with cyberattacks," Applied Mathematics and Computation, Elsevier, vol. 415(C).

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