Robust Synchronization of an Array of Coupled Stochastic Discrete-Time Delayed Neural Networks

2008 ◽  
Vol 19 (11) ◽  
pp. 1910-1921 ◽  
Author(s):  
Jinling Liang ◽  
Zidong Wang ◽  
Yurong Liu ◽  
Xiaohui Liu
Keyword(s):  
Neural Networks ◽  
Discrete Time ◽  
Delayed Neural Networks ◽  
Robust Synchronization

scholarly journals Robust Synchronization Criterion for Coupled Stochastic Discrete-Time Neural Networks with Interval Time-Varying Delays, Leakage Delay, and Parameter Uncertainties

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
M. J. Park ◽  
O. M. Kwon ◽  
Ju H. Park ◽  
S. M. Lee ◽  
E. J. Cha
Keyword(s):  
Neural Networks ◽  
Discrete Time ◽  
Linear Matrix ◽  
Time Varying ◽  
Parameter Uncertainties ◽  
Leakage Term ◽  
Interval Time ◽  
Robust Synchronization ◽  
Delay Dependent ◽  
Finsler’S Lemma

The purpose of this paper is to investigate a delay-dependent robust synchronization analysis for coupled stochastic discrete-time neural networks with interval time-varying delays in networks coupling, a time delay in leakage term, and parameter uncertainties. Based on the Lyapunov method, a new delay-dependent criterion for the synchronization of the networks is derived in terms of linear matrix inequalities (LMIs) by constructing a suitable Lyapunov-Krasovskii’s functional and utilizing Finsler’s lemma without free-weighting matrices. Two numerical examples are given to illustrate the effectiveness of the proposed methods.

scholarly journals Dynamical Analysis of DTNN with Impulsive Effect

2009 ◽  
Vol 2009 ◽  
pp. 1-12 ◽  
Author(s):  
Chao Chen ◽  
Zhenkun Huang ◽  
Honghua Bin ◽  
Xiaohui Liu
Keyword(s):  
Neural Networks ◽  
Discrete Time ◽  
Dynamical Analysis ◽  
Impulsive Effect ◽  
Decomposition Approach ◽  
Delayed Neural Networks ◽  
Delay Difference ◽  
New Criteria

We present dynamical analysis of discrete-time delayed neural networks with impulsive effect. Under impulsive effect, we derive some new criteria for the invariance and attractivity of discrete-time neural networks by using decomposition approach and delay difference inequalities. Our results improve or extend the existing ones.

Sign in / Sign up

Export Citation Format

Share Document