A Delay Fractioning Approach to Global Synchronization of Complex Networks with Distributed Delays and Stochastic Disturbances

Authors:
Quanxin Cheng;Haibo Bao;Jinde Cao
Affiliations:
Department of Mathematics, Southeast University, Nanjing, China 210096;Department of Mathematics, Southeast University, Nanjing, China 210096;Department of Mathematics, Southeast University, Nanjing, China 210096
Venue:
ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Year:
2009

Citing 6
Cited 0

Stability in asymmetric Hopfield nets with transmission delays

Physica D
Stability of Time-Delay Systems

Stability of Time-Delay Systems
The Kronecker product and stochastic automata networks

Journal of Computational and Applied Mathematics
Exponential synchronization of stochastic perturbed chaotic delayed neural networks

Neurocomputing
New Delay-Dependent Exponential Stability for Neural Networks With Time Delay

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Global Synchronization Control of General Delayed Discrete-Time Networks With Stochastic Coupling and Disturbances

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, the global synchronization problem is studied for a class of complex networks. This is the first time that both the distributed delays and the stochastic disturbances are considered at the same time. Based on the idea of `delay fractioning', a sufficient condition which ensures the complex system to be globally synchronized is derived by referring to the Lyapunov functional method and the properties of Kronecker product. The condition, which is expressed in terms of linear matrix inequalities (LMIs), can be solved efficiently by the LMI toolbox in Matlab. The result obtained in this paper is proved to be much less conservative due to the fact that the delay upper bound is greatly enlarged.