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Delay-dependent robust BIBO stabilization of uncertain system via LMI approach

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  • Li, Ping
  • Zhong, Shou-ming
  • Cui, Jin-zhong

Abstract

This paper addresses the problem of robust BIBO stabilization for the uncertain time-delay system. A novel delay-dependent stabilizable criterion is presented by a quadratic Lyapunov function and the method of the variation of parameters to guarantee that bounded input can lead to bounded output. The proposed design condition is formulated in terms of linear matrix inequality (LMI) which can be easily solved by LMI Toolbox in Matlab. Finally, numerical examples are given to illustrate the effectiveness of our results.

Suggested Citation

  • Li, Ping & Zhong, Shou-ming & Cui, Jin-zhong, 2009. "Delay-dependent robust BIBO stabilization of uncertain system via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 1021-1028.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:2:p:1021-1028
    DOI: 10.1016/j.chaos.2007.08.059
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    References listed on IDEAS

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    1. Gao, Huijun & Lam, James & Wang, Zidong, 2007. "Discrete bilinear stochastic systems with time-varying delay: Stability analysis and control synthesis," Chaos, Solitons & Fractals, Elsevier, vol. 34(2), pages 394-404.
    2. Lien, Chang-Hua, 2007. "Delay-dependent and delay-independent guaranteed cost control for uncertain neutral systems with time-varying delays via LMI approach," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 1017-1027.
    3. Lien, Chang-Hua, 2007. "Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 889-899.
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