Advances in Difference Equations
Volume 2010 (2010), Article ID 504956, 19 pages
Research Article

Synchronization of Discrete-Time Complex Networks with Randomly Occurring Coupling and Distributed Time-Varying Delay

1College of Information Science and Technology, Donghua University, Shanghai 201620, China
2Institute of Textiles and Clothing, Kowloon, Hong Kong Polytechnic University, Hong Kong

Received 6 December 2009; Accepted 19 March 2010

Academic Editor: Aǧacik Zafer

Copyright © 2010 Yang Tang and Jian-an Fang. 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.


The synchronization problem of new discrete-time complex networks with randomly occurring coupling and distributed time-varying delay is investigated. Compared with the previous work, the distributed delay is assumed to be timevarying. Moreover, the effects of both variation range and probability distribution of distributed time-varying delay are taken into consideration. The randomly occurring coupling and distributed delay in complex networks are considered by introducing two Bernoulli stochastic variables. By using some novel analysis techniques, Kronecker product and Lyapunov functional candidate, some delay-distribution-dependent conditions are derived to ensure that the discrete-time complex network with randomly coupling and distributed time-varying delay is synchronized in mean square. A numerical simulation example is provided to verify the effectiveness and the applicability of the proposed approach.