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Stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems

Author

Listed:
  • Zheng, Fuqi
  • Liu, Jian
  • Jiao, Ticao
  • Zhang, Cunshan
  • Zhao, Jianrong
  • Jiang, Jishun
  • Qi, Xiaomei

Abstract

In this paper, the problem of stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems is investigated. The key feature in the paper is that the switching mechanism is described by a general class of hybrid switching laws, which is comprised of Markovian switchings and deterministic switchings. By using the mode-dependent time interval segmentation technique, multiple time-varying copositive Lyapunov functions are constructed. Then, the criteria ensuring the stochastically exponential stability and L1-gain are derived. Finally, a numerical example and a practical one are provided to illustrate the obtained results.

Suggested Citation

  • Zheng, Fuqi & Liu, Jian & Jiao, Ticao & Zhang, Cunshan & Zhao, Jianrong & Jiang, Jishun & Qi, Xiaomei, 2021. "Stability analysis and L1-gain characterization for uncertain Markovian hybrid switching positive systems," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    • Handle: RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321005920
    DOI: 10.1016/j.amc.2021.126503
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    References listed on IDEAS

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    1. Du, Xiao-Kun & Zhao, Hui & Chang, Xiao-Heng, 2015. "Unknown input observer design for fuzzy systems with uncertainties," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 108-118.
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