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Stabilisation of a class of positive switched nonlinear systems under asynchronous switching

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  • Shuo Li
  • Zhengrong Xiang

Abstract

This paper addresses the stabilisation problem for a class of positive switched nonlinear systems under asynchronous switching, which means that the switches between the candidate controllers and the system modes are not synchronous. The continuous and discrete cases are considered respectively. Sufficient conditions are firstly provided for the existence of the asynchronous switching controllers to guarantee the closed-loop system to be positive and exponentially stable, and the corresponding admissible switching signals are presented. As a special case, the stabilisation results for positive switched linear systems under asynchronous switching are provided accordingly. Finally, two numerical examples are given to illustrate the effectiveness of the proposed methods.

Suggested Citation

  • Shuo Li & Zhengrong Xiang, 2017. "Stabilisation of a class of positive switched nonlinear systems under asynchronous switching," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(7), pages 1537-1547, May.
  • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:7:p:1537-1547
    DOI: 10.1080/00207721.2016.1271916
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    Cited by:

    1. Li, Haitao & Xu, Xiaojing & Ding, Xueying, 2019. "Finite-time stability analysis of stochastic switched boolean networks with impulsive effect," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 557-565.
    2. Liang, Mengqian & Tian, Yazhou, 2022. "Practical stability of switched homogeneous positive nonlinear systems: Max-separable Lyapunov function method," Applied Mathematics and Computation, Elsevier, vol. 428(C).

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