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

Yonggang Chen, Weiping Bi and Wenlin Li

International Journal of Systems Science, 2011, vol. 42, issue 7, 1105-1113

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.

Date: 2011
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DOI: 10.1080/00207720903308348

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