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Stability analysis of switched positive linear systems with stable and unstable subsystems

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  • Ji-Shi Zhang
  • Yan-Wu Wang
  • Jiang-Wen Xiao
  • Yan-Jun Shen

Abstract

This paper addresses the stability problem of switched positive linear systems with stable and unstable subsystems. Based on a multiple linear copositive Lyapunov function, and by using the average dwell time approach, some sufficient stability criteria of global uniform exponential stability are established in both the continuous-time and the discrete-time cases, respectively. Finally, some numerical examples are given to show the effectiveness of the proposed results.

Suggested Citation

  • Ji-Shi Zhang & Yan-Wu Wang & Jiang-Wen Xiao & Yan-Jun Shen, 2014. "Stability analysis of switched positive linear systems with stable and unstable subsystems," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(12), pages 2458-2465, December.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:12:p:2458-2465
    DOI: 10.1080/00207721.2013.770938
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    Cited by:

    1. 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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