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

Advances in Difference Equations

Yang Tang¹  Jian-an Fang² 

[1] College of Information Science and Technology, Donghua University, Shanghai, China;Institute of Textiles and Clothing, Kowloon, Hong Kong Polytechnic University, Hong Kong

关键词: Complex Network;    Linear Matrix Inequality;    Kronecker Product;    Synchronization Problem;    Positive Definite Matrice;   

DOI  :  10.1155/2010/504956

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY