Synchronization of chaotic systems with time-varying coupling delays

Tingwen Huang; Guanrong Chen; Juergen Kurths

doi:10.3934/dcdsb.2011.16.1071

Article Contents

2011, Volume 16, Issue 4: 1071-1082. Doi: 10.3934/dcdsb.2011.16.1071

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Synchronization of chaotic systems with time-varying coupling delays

1.
Texas A&M University at Qatar, Doha, P.O.Box 23874
2.
Department of Electronic Engineering, City University of Hong Kong, Hong Kong
3.
Institute for Physics, University of Potsdam, Am Neuen Palais, Gebude 19, D-14415 Potsdam

Received: September 30, 2010

Revised: April 30, 2011

Published: May 2011

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Abstract

In this paper, we study the complete synchronization of a class of time-varying delayed coupled chaotic systems using feedback control. In terms of Linear Matrix Inequalities, a sufficient condition is obtained through using a Lyapunov-Krasovskii functional and differential equation inequalities. The conditions can be easily verified and implemented. We present two simulation examples to illustrate the effectiveness of the proposed method.

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Mathematics Subject Classification: Primary: 34A20, 34G20.

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