Title :
Synchronization of coupled connected neural networks with delays
Author :
Lu, Wenlian ; Chen, Tianping
Author_Institution :
Lab. of Nonlinear Sci., Fudan Univ., Shanghai, China
Abstract :
We investigate synchronization of an array of linearly coupled identical connected neural networks with delays; Variational method is used to investigate local synchronization. Global exponential stability is studied, too. We do not assume that the coupling matrix A is symmetric or irreducible. The linear matrix inequality approach is used to judge synchronization with global convergence property.
Keywords :
asymptotic stability; chaos; coupled circuits; delays; linear matrix inequalities; neural nets; synchronisation; coupling matrix; dynamical systems; global convergence property; global exponential stability; linear matrix inequality; linearly coupled connected neural networks; local synchronization; variational method; Biological neural networks; Chaotic communication; Convergence; Coupling circuits; Linear matrix inequalities; Neural networks; Neurons; Recurrent neural networks; Stability analysis; Symmetric matrices; 65; Chaos; delays; dynamical systems; neural network; synchronization;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2004.838308