Journal of Jilin University(Engineering and Technology Edition) ›› 2018, Vol. 48 ›› Issue (5): 1556-1562.doi: 10.13229/j.cnki.jdxbgxb20180320

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Stability analysis of linear systems with interval time-varying delay

YAN Dong-mei1, ZHONG Hui1, REN Li-li2, WANG Ruo-lin3, LI Hong-mei1   

  1. 1.Management Center of Big Data and Network, Jilin University, Changchun 130012,China;
    2.Network Center, Changchun Normal University, Changchun 130032,China;
    3.College of Administrative Engineering,Jilin Communications Polytechnic, Changchun 130012,China
  • Received:2017-11-22 Online:2018-09-20 Published:2018-12-11

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Abstract: This paper investigates the stability problem of a linear system with time-varying delay. The time-varying delay is assumed to belong to a given interval. A new Lyapunov-Krasovskii function is constructed which contains some tripe integral terms. Using some integral inequalities including the recent proposed free-matrix-based integral inequality, new sufficient stability conditions are obtained, which are presented in terms of Linear Matrix Inequality (LMI). Finally, two examples are given to demonstrate that the obtained results are less conservative than some existing method.

Key words: automatic control technology, time-delay system, delay-dependent stability, interval delay, linear matrix inequality

CLC Number: 

  • TP273
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