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Mathematical Problems in Engineering
Volume 2014, Article ID 457457, 11 pages
http://dx.doi.org/10.1155/2014/457457
Research Article

Sampled-Data Synchronization for Complex Dynamical Networks with Time-Varying Coupling Delay and Random Coupling Strengths

School of Electronics Information Engineering, Taiyuan University of Science and Technology, Taiyuan, Shanxi 030024, China

Received 14 January 2014; Revised 31 March 2014; Accepted 14 April 2014; Published 6 May 2014

Academic Editor: He Huang

Copyright © 2014 Jian-An Wang and Xin-Yu Wen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This paper is concerned with the problem of sampled-data synchronization for complex dynamical networks (CDNs) with time-varying coupling delay and random coupling strengths. The random coupling strengths are described by normal distribution. The sampling period considered here is assumed to be less than a given bound. By taking the characteristic of sampled-data system into account, a discontinuous Lyapunov functional is constructed, and a delay-dependent mean square synchronization criterion is derived. Based on the proposed condition, a set of desired sampled-data controllers are designed in terms of linear matrix inequalities (LMIs) that can be solved effectively by using MATLAB LMI Toolbox. Numerical examples are given to demonstrate the effectiveness of the proposed scheme.