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On stability of switched nonlinear systems with time-scaling transformation

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  • Hao Yang
  • Wenjing Ren
  • Bin Jiang

Abstract

This paper considers a class of switched nonlinear systems with time-scaling transformation. A newconcept named ‘time-scaling transformational average dwell time’ is proposed, based on which two stability conditions for the original switched system are established that rely on each mode's dynamics of the transformational switched system and the characteristic of the time-scaling transformation. The new observation significantly extends existing stability results, especially for the case with unstable modes. A numerical example is given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Hao Yang & Wenjing Ren & Bin Jiang, 2017. "On stability of switched nonlinear systems with time-scaling transformation," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(10), pages 2120-2127, July.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:10:p:2120-2127
    DOI: 10.1080/00207721.2017.1306146
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    References listed on IDEAS

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    1. Ruicheng Ma & Jun Zhao & Georgi Dimirovski, 2013. "Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(4), pages 615-624.
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