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Input-to-state stability analysis for a class of nonlinear switched descriptor systems

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  • Zairui Gao
  • Kun Yang
  • Yanxia Shen
  • Zhicheng Ji

Abstract

This paper considers the problem of input-to-state stability for a class of nonlinear switched descriptor systems. According to the definition of input-to-state stability, sufficient conditions are derived to ensure that the system is input-to-state stable based on the dwell time approach and the Gronwall–Bellman inequality. Compared with existing methods, it is more convenient to design the controller for each subsystem, because it does not need to construct the input-to-state stable control Lyapunov function and design the specific structure of the control inputs. Finally, two numerical examples illustrate the feasibility and effectiveness of the proposed method.

Suggested Citation

  • Zairui Gao & Kun Yang & Yanxia Shen & Zhicheng Ji, 2015. "Input-to-state stability analysis for a class of nonlinear switched descriptor systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(16), pages 2973-2981, December.
    • Handle: RePEc:taf:tsysxx:v:46:y:2015:i:16:p:2973-2981
    DOI: 10.1080/00207721.2014.886134
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