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Stability analysis of hybrid switched nonlinear singular time-delay systems with stable and unstable subsystems

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  • Iman Zamani
  • Masoud Shafiee
  • Asier Ibeas

Abstract

The issue of exponential stability of a class of continuous-time switched nonlinear singular systems consisting of a family of stable and unstable subsystems with time-varying delay is considered in this paper. Based on the free-weighting matrix approach, the average dwell-time approach and by constructing a Lyapunov-like Krasovskii functional, delay-dependent sufficient conditions are derived and formulated to check the exponential stability of such systems in terms of linear matrix inequalities (LMIs). By checking the corresponding LMI conditions, the average dwell-time and switching signal conditions are obtained. This paper also highlights the relationship between the average dwell-time of the switched nonlinear singular time-delay system, its stability and the exponential convergence rate of differential and algebraic states. A numerical example shows the effectiveness of the proposed method.

Suggested Citation

  • Iman Zamani & Masoud Shafiee & Asier Ibeas, 2014. "Stability analysis of hybrid switched nonlinear singular time-delay systems with stable and unstable subsystems," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(5), pages 1128-1144, May.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:5:p:1128-1144
    DOI: 10.1080/00207721.2012.745026
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    Cited by:

    1. Ma, Yuechao & Fu, Lei & Jing, Yanhui & Zhang, Qingling, 2015. "Finite-time H∞ control for a class of discrete-time switched singular time-delay systems subject to actuator saturation," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 264-283.
    2. Xu, Ning & Zhao, Xudong & Zong, Guangdeng & Wang, Yuanqing, 2021. "Adaptive control design for uncertain switched nonstrict-feedback nonlinear systems to achieve asymptotic tracking performance," Applied Mathematics and Computation, Elsevier, vol. 408(C).

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