Local and global exponential synchronization of complex delayed dynamical networkswith general topology

Jin-Liang Wang; Zhi-Chun Yang; Tingwen Huang; Mingqing Xiao

doi:10.3934/dcdsb.2011.16.393

Article Contents

2011, Volume 16, Issue 1: 393-408. Doi: 10.3934/dcdsb.2011.16.393

This issue Previous Article Positive periodic solution for Brillouin electron beam focusing system Next Article Unboundedness of solutions for perturbed asymmetric oscillators

Local and global exponential synchronization of complex delayed dynamical networks with general topology

1.
National Key Laboratory of Science and Technology on Holistic Control, School of Automation Science and Electrical Engineering, Beihang University, Beijing 100191
2.
College of Mathematics Science, Chongqing Normal University, Chongqing 400047
3.
Department of Mathematics and Science, Texas A&M University at Qatar, PO Box 23874, Doha
4.
Department of Mathematics, Southern Illinois University, Carbondale, IL 62901

Received: June 2010

Revised: January 2011

Published: July 2011

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Abstract

In this paper, we consider a generalized complex network possessing general topology, in which the coupling may be nonlinear, time-varying, nonsymmetric and the elements of each node have different time-varying delays. Some criteria on local and global exponential synchronization are derived in form of linear matrix inequalities (LMIs) for the complex network by constructing suitable Lyapunov functionals. Our results show that the obtained sufficient conditions are less conservative than ones in previous publications. Finally, two numerical examples and their simulation results are given to illustrate the effectiveness of the derived results.

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Mathematics Subject Classification: Primary: 37N99, 93D05; Secondary: 93A30.

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