On stability of switched nonlinear systems with time-scaling transformation

Hao Yang, Wenjing Ren and Bin Jiang

International Journal of Systems Science, 2017, vol. 48, issue 10, 2120-2127

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.

Date: 2017
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DOI: 10.1080/00207721.2017.1306146

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