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

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

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.

Keywords: exponential synchronization chaotic Lur'e system time-varying delay sampled-data control

Received: 18 September 2013
Revised: 13 November 2013
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)
	05.45.Xt	(Synchronization; coupled oscillators)

Corresponding Authors: R. Rakkiyappan
E-mail: rakkigru@gmail.com

Cite this article:

R. Rakkiyappan, R. Sivasamy, S. Lakshmanan Exponential synchronization of chaotic Lur'e systems with time-varying delay via sampled-data control 2014 Chin. Phys. B 23 060504

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

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