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Finite-Time Boundedness Control of Time-Varying Descriptor Systems

Author

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  • Xiaoming Su
  • Yali Zhi
  • Qingling Zhang

Abstract

This paper mainly studies a control problem of finite-time boundedness of time-varying descriptor systems. Firstly, a sufficient and necessary condition of finite-time stability is given, then a sufficient condition of finite-time boundedness for time-varying descriptor systems is given. Secondly, we analyze the finite-time boundedness control problem and design the finite-time state feedback controller; the controller is given based on LMIs for time-varying descriptor systems and time-varying uncertain descriptor systems, respectively. Finally, a numerical example is given to prove the effectiveness of the method.

Suggested Citation

  • Xiaoming Su & Yali Zhi & Qingling Zhang, 2013. "Finite-Time Boundedness Control of Time-Varying Descriptor Systems," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-5, December.
    • Handle: RePEc:hin:jnlmpe:754268
    DOI: 10.1155/2013/754268
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