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Robust stability of positive switched systems with dwell time

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  • Jinjin Liu
  • Kanjian Zhang
  • Haikun Wei

Abstract

This paper studies robust stability of positive switched systems (PSSs) with polytopic uncertainties in both discrete-time and continuous-time contexts. By using multiple linear copositive Lyapunov functions, a sufficient condition for stability of PSSs with dwell time is addressed. Being different from time-invariant multiple linear copositive Lyapunov functions, the Lyapunov functions constructed in this paper are time-varying during the dwell time and time-invariant afterwards. Then, robust stability of PSSs with polytopic uncertainties is solved. All conditions are solvable via linear programming. Finally, illustrative examples are given to demonstrate the validity of the proposed results.

Suggested Citation

  • Jinjin Liu & Kanjian Zhang & Haikun Wei, 2016. "Robust stability of positive switched systems with dwell time," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2553-2562, August.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2553-2562
    DOI: 10.1080/00207721.2014.999265
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    Cited by:

    1. Fu, Xiaozheng & Zhu, Quanxin, 2020. "Exponential stability of neutral stochastic delay differential equation with delay-dependent impulses," Applied Mathematics and Computation, Elsevier, vol. 377(C).
    2. Thaned Rojsiraphisal & Piyapong Niamsup & Suriyon Yimnet, 2020. "Global Uniform Asymptotic Stability Criteria for Linear Uncertain Switched Positive Time-Varying Delay Systems with All Unstable Subsystems," Mathematics, MDPI, vol. 8(12), pages 1-18, November.

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