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Stability analysis of 2-D switched systems with multiplicative noise under arbitrary and restricted switching signals

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  • Lei Xu
  • Quanxin Zhu

Abstract

This paper introduces a new class of discrete-time two-dimensional (2-D) switched systems with multiplicative noise. Firstly, we extend the definition of the asymptotic stability and establish a sufficient stochastically stability condition for this new model under arbitrary switching signal. Then, by introducing the average dwell time into this new model and combining with the Lyapunov function, we investigate the extended stochastic exponential stability of the 2-D switched systems with multiplicative noise for the restricted switching case. Moreover, some remarks and discussions are given to illustrate the significance of obtained results, which generalise and comprise some previous results the literature. Finally, two examples are provided to show the effectiveness of the theoretical results.

Suggested Citation

  • Lei Xu & Quanxin Zhu, 2019. "Stability analysis of 2-D switched systems with multiplicative noise under arbitrary and restricted switching signals," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(1), pages 191-202, January.
    • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:1:p:191-202
    DOI: 10.1080/00207721.2018.1551976
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