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Delay and its time-derivative dependent bounded real lemma for linear time-delay systems
Jiang Xiefu ; Xu Wenli
2010-05-06 ; 2010-05-06
关键词Theoretical or Mathematical/ continuous time systems delays linear matrix inequalities linear systems Lyapunov matrix equations/ time derivative dependent bounded real lemma linear time delay systems Lyapunov-Krasovskii function linear continuous time systems state time varying time delay sufficient condition H/sub infinity /-norm LMI linear matrix inequality/ C1340J Distributed parameter control systems C1320 Stability in control theory C1110 Algebra
中文摘要Based on an appropriate Lyapunov-Krasovskii functional, this paper deals with the problem of the bounded real lemma for linear continuous-time systems with state delay. The system under consideration involves state time-varying time-delay. A sufficient condition for the system to possess a H/sub infinity /-norm that is less than a prescribed level, is presented in a linear matrix inequality (LMI) form which is dependent on both the size of time-delay and the size of its time-derivative. Due to that fewer cross terms was bounded, our result is less conservative. Finally, an example is presented to demonstrate the effectiveness of our result.
语种英语 ; 英语
出版者Chinese Inst. Electron ; China
内容类型期刊论文
源URL[http://hdl.handle.net/123456789/9446]  
专题清华大学
推荐引用方式
GB/T 7714
Jiang Xiefu,Xu Wenli. Delay and its time-derivative dependent bounded real lemma for linear time-delay systems[J],2010, 2010.
APA Jiang Xiefu,&Xu Wenli.(2010).Delay and its time-derivative dependent bounded real lemma for linear time-delay systems..
MLA Jiang Xiefu,et al."Delay and its time-derivative dependent bounded real lemma for linear time-delay systems".(2010).
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