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New delay-dependent absolute stability criteria for Lur'e systems with time-varying delay

Author

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  • Yonggang Chen
  • Weiping Bi
  • Wenlin Li

Abstract

In this article, the absolute stability problem is investigated for Lur'e systems with time-varying delay and sector-bounded nonlinearity. By employing the delay fractioning idea, the new augmented Lyapunov functional is first constructed. Then, by introducing some slack matrices and by reserving the useful term when estimating the upper bound of the derivative of Lyapunov functional, the new delay-dependent absolute stability criteria are derived in terms of linear matrix inequalities. Several numerical examples are presented to show the effectiveness and the less conservativeness of the proposed method.

Suggested Citation

  • Yonggang Chen & Weiping Bi & Wenlin Li, 2011. "New delay-dependent absolute stability criteria for Lur'e systems with time-varying delay," International Journal of Systems Science, Taylor & Francis Journals, vol. 42(7), pages 1105-1113.
    • Handle: RePEc:taf:tsysxx:v:42:y:2011:i:7:p:1105-1113
    DOI: 10.1080/00207720903308348
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    Cited by:

    1. Nai-feng Gan & Yu-feng LU & Ting Gong, 2014. "Stabilization with Internal Loop for Infinite-Dimensional Discrete Time-Varying Systems," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-7, April.
    2. Wenyong Duan & Baozhu Du & Jing You & Yun Zou, 2015. "Improved robust stability criteria for a class of Lur'e systems with interval time-varying delays and sector-bounded nonlinearity," International Journal of Systems Science, Taylor & Francis Journals, vol. 46(5), pages 944-954, April.

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