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

doi:10.1088/1674-1056/23/6/060504

中国物理B ›› 2014, Vol. 23 ›› Issue (6): 60504-060504.doi: 10.1088/1674-1056/23/6/060504

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

R. Rakkiyappan^a, R. Sivasamy^a, S. Lakshmanan^b

a Department of Mathematics, Bharathiar University, Coimbatore-641 046, Tamilnadu, India;
b Department of Mathematics, College of Science, UAE University, Al Ain, 15551, United Arab Emirates (UAE)

收稿日期:2013-09-18 修回日期:2013-11-13 出版日期:2014-06-15 发布日期:2014-06-15

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

R. Rakkiyappan^a, R. Sivasamy^a, S. Lakshmanan^b

a Department of Mathematics, Bharathiar University, Coimbatore-641 046, Tamilnadu, India;
b Department of Mathematics, College of Science, UAE University, Al Ain, 15551, United Arab Emirates (UAE)

Received:2013-09-18 Revised:2013-11-13 Online:2014-06-15 Published:2014-06-15
Contact: R. Rakkiyappan E-mail:rakkigru@gmail.com

摘要/Abstract

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 inequalities, 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

Abstract: 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 inequalities, 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.

Key words: exponential synchronization, chaotic Lur'e system, time-varying delay, sampled-data control

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems) 05.45.Xt (Synchronization; coupled oscillators)

R. Rakkiyappan, R. Sivasamy, S. Lakshmanan. Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control[J]. 中国物理B, 2014, 23(6): 60504-060504.

R. Rakkiyappan, R. Sivasamy, S. Lakshmanan. Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control[J]. Chin. Phys. B, 2014, 23(6): 60504-060504.

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

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

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