Global Synchronization Criteria of Linearly Coupled Neural Network Systems With Time-Varying Coupling

Authors:
Wei Wu;Tianping Chen
Affiliations:
Fudan Univ., Shanghai;-
Venue:
IEEE Transactions on Neural Networks
Year:
2008

Citing 0
Cited 6

Cluster synchronization of linearly coupled complex networks under pinning control

IEEE Transactions on Circuits and Systems Part I: Regular Papers
Recognition of abstract objects via neural oscillators: interaction among topological organization, associative memory and gamma band synchronization

IEEE Transactions on Neural Networks
Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers

IEEE Transactions on Neural Networks
Identifying the topology of a coupled Fitzhugh-Nagumo neurobiological network via a pinning mechanism

IEEE Transactions on Neural Networks
Exponential synchronization of hybrid coupled networks with delayed coupling

IEEE Transactions on Neural Networks
Exponential synchronization for delayed recurrent neural networks via periodically intermittent control

Neurocomputing

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, global synchronization of linearly coupled neural network (NN) systems with time-varying coupling is investigated. The dynamical behavior of the uncoupled system at each node is general, which can be chaotic or others; the coupling configuration is time varying, i.e., the coupling matrix is not a constant matrix. Based on Lyapunov function method and the specific property of Householder transform, some criteria for the global synchronization are obtained. By these criteria, one can verify whether the coupled system with time-varying coupling is globally synchronized, which is important and useful for both understanding and interpreting synchronization phenomena and designing coupling configuration. Finally, two simulations are given to demonstrate the effectiveness of the theoretical results.