Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control  

作　　者：R.Rakkiyappan R.Sivasamy S.Lakshmanan 

机构地区：[1]Department of Mathematics, Bharathiar University [2]Department of Mathematics, College of Science, UAE University

出　　处：《Chinese Physics B》2014年第6期104-117,共14页中国物理B（英文版）

摘　　要：In this paper, we study the exponential synchronization of chaotic Lur＇e systems with time-varying delays via sampled-data control by using sector nonlinearties. In order to make full use of information about sampling intervals and interval time-varying delays, new Lyapunov-Krasovskii functionals with triple integral terms are introduced. Based on the convex combination technique, two kinds of synchronization criteria are derived in terms of linear matrix inequal- ities, which can be efficiently solved via standard numerical software. Finally, three numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed results.In this paper, we study the exponential synchronization of chaotic Lur＇e systems with time-varying delays via sampled-data control by using sector nonlinearties. In order to make full use of information about sampling intervals and interval time-varying delays, new Lyapunov-Krasovskii functionals with triple integral terms are introduced. Based on the convex combination technique, two kinds of synchronization criteria are derived in terms of linear matrix inequal- ities, which can be efficiently solved via standard numerical software. Finally, three numerical examples are provided to demonstrate the less conservatism and effectiveness of the proposed results.

关 键 词：exponential synchronization chaotic Lur＇e system time-varying delay sampled-data control 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]