Improved Stability Conditions for Systems with Interval Time-Varying Delay

The paper is concerned with the stability of linear systems with interval time-varying delay. Through constructing a new augmented Lyapunov-Krasovskii functional (LKF) which contains some quadruple-integral terms and estimating the time derivative of the LKF less conservatively, new stability criter...

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Bibliographic Details
Published inInternational journal of control, automation, and systems Vol. 10; no. 6; pp. 1146 - 1152
Main Authors Qian, Wei, Cong, Shen, Li, Tao, Fei, Shumin
Format Journal Article
LanguageKorean
Published 2012
Subjects
Lyapunov functional
Stability
linear matrix inequality (LMI)
Interval time-varying delay
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Summary:The paper is concerned with the stability of linear systems with interval time-varying delay. Through constructing a new augmented Lyapunov-Krasovskii functional (LKF) which contains some quadruple-integral terms and estimating the time derivative of the LKF less conservatively, new stability criteria are derived without introducing any free matrices. Moreover, by proving the positive definiteness of the LKF with some integral inequalities, the constraints on some functional parameters are relaxed and the conservatism of the obtained results are further reduced. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.
Bibliography:KISTI1.1003/JNL.JAKO201213660553892
ISSN:1598-6446
2005-4092