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Stability analysis of some classes of nonlinear switched systems with time delay

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  • Alexander Aleksandrov
  • Elena Aleksandrova
  • Alexei Zhabko

Abstract

Stability of certain classes of nonlinear time-delay switched systems is studied. For the corresponding families of subsystems, conditions of the existence of common Lyapunov–Razumikhin functions are found. The fulfilment of these conditions provides the asymptotic stability of the zero solutions of the considered hybrid systems for any switching law and for any nonnegative delay. Some examples are presented to demonstrate the effectiveness of the obtained results.

Suggested Citation

  • Alexander Aleksandrov & Elena Aleksandrova & Alexei Zhabko, 2017. "Stability analysis of some classes of nonlinear switched systems with time delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2111-2119, July.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2111-2119
    DOI: 10.1080/00207721.2017.1311382
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    Cited by:

    1. Shitao Zhang & Peng Lin & Junfeng Zhang, 2022. "Event-Triggered Asynchronous Filter of Nonlinear Switched Positive Systems with Output Quantization," Mathematics, MDPI, vol. 10(4), pages 1-21, February.

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