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Robust stability analysis and stabilisation of uncertain impulsive positive systems with time delay

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  • Baolong Zhu
  • Jie Ma
  • Zhiping Zhang
  • Hui Feng
  • Shunli Li

Abstract

This paper considers the robust stability and stabilisation of uncertain impulsive positive systems with delay in state. The robust global exponential stability criterion under ranged dwell-time is first established by employing an impulse-time-dependent copositive Lyapunov function. Extensions to the exponential stability of the considered system under constant, arbitrary, maximal and minimal dwell-time are then derived. To positively stabilise the considered system under ranged dwell-time, a method of state-feedback controller design is presented based on the derived stability condition. Several numerical examples illustrate the reduced conservatism and effectiveness of the obtained theoretical results.

Suggested Citation

  • Baolong Zhu & Jie Ma & Zhiping Zhang & Hui Feng & Shunli Li, 2018. "Robust stability analysis and stabilisation of uncertain impulsive positive systems with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(14), pages 2940-2956, October.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:14:p:2940-2956
    DOI: 10.1080/00207721.2018.1529254
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    Cited by:

    1. Wang, Xuezhen & Zhang, Huasheng, 2023. "Intelligent control of convergence rate of impulsive dynamic systems affected by nonlinear disturbances under stabilizing impulses and its application in Chua’s circuit," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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