Novel robust stability criteria for uncertain systems with time-varying delay |
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| Authors: | Wei Qian Shen Cong Youxian Sun Shumin Fei |
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| Affiliation: | aDepartment of Computer Science and Technology, Henan Polytechnic University, Jiaozuo 454000, China;bState Key Lab of Industrial Control Technology, Zhejiang University, Hangzhou 310027, China;cDepartment of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;dDepartment of Automation, Southeast University, Nanjing 210096, China |
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| Abstract: | This paper is concerned with the delay-dependent stability and robust stability criteria for linear systems with time-varying delay and norm-bounded uncertainties. Through constructing a general form of Lyapunov–Krasovskii functional, and using integral inequalities, some slack matrices and newly established convex combination condition in the calculation, the delay-dependent stability criteria are derived in terms of linear matrix inequalities. Numerical examples are given to illustrate the improvement on the conservatism of the delay bound over some reported results in the literature. |
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| Keywords: | Delayed systems Stability Time-varying delay Uncertainty Linear matrix inequality |
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