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Stabilisation of nonlinear hybrid stochastic systems with time-varying delay by discrete-time feedback controls with a time delay

Author

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  • Jianqiu Lu
  • Yun Lu
  • Simin Wang
  • Liangjian Hu
  • Yanan Jiang

Abstract

In this paper, we investigate stabilisation of hybrid stochastic systems with time-varying delay by feedback control based on discrete-time state and mode observations with a time delay. By constructing a proper Lyapunov functional, the $ H_\infty $ H∞, asymptotic and exponential stability of the controlled systems are studied in the pth moment sense for p>1. Meanwhile, we obtain the upper bound on the duration τ between two consecutive state and mode observations. At last, two numerical examples are illustrated to support our theoretical results.

Suggested Citation

  • Jianqiu Lu & Yun Lu & Simin Wang & Liangjian Hu & Yanan Jiang, 2022. "Stabilisation of nonlinear hybrid stochastic systems with time-varying delay by discrete-time feedback controls with a time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 53(7), pages 1483-1502, May.
    • Handle: RePEc:taf:tsysxx:v:53:y:2022:i:7:p:1483-1502
    DOI: 10.1080/00207721.2021.2010832
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