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Stability of impulsive piecewise linear systems

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  • Yu Zhang
  • Gang Feng
  • Jitao Sun

Abstract

In this article, stability of impulsive piecewise linear systems is investigated and a number of stability criteria are obtained based on Lyapunov functions. Both the stability results that impulses act as perturbation and the stability results that impulses act as stabiliser are given. Some examples are also presented to illustrate the effectiveness of the obtained results. It should be noted that it is the first time that the continuous time impulsive piecewise linear system is considered.

Suggested Citation

  • Yu Zhang & Gang Feng & Jitao Sun, 2013. "Stability of impulsive piecewise linear systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(1), pages 139-150.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:1:p:139-150
    DOI: 10.1080/00207721.2011.598957
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