Guaranteed Cost Stabilization of Cellular Neural Networks with Time-Varying Delay

2013 ◽  
Vol 15 (4) ◽  
pp. 1224-1227 ◽  
Author(s):  
Hanlin He ◽  
Lu Yan ◽  
Jianjun Tu
Keyword(s):  
Neural Networks ◽  
Cellular Neural Networks ◽  
Time Varying ◽  
Time Varying Delay ◽  
Guaranteed Cost ◽  
Varying Delay

Guaranteed Cost Synchronization of Chaotic Cellular Neural Networks with Time-Varying Delay

2012 ◽  
Vol 24 (1) ◽  
pp. 217-233 ◽  
Author(s):  
Jianjun Tu ◽  
Hanlin He
Keyword(s):  
Neural Networks ◽  
Cellular Neural Networks ◽  
Linear Matrix ◽  
Time Varying ◽  
Matrix Inequality ◽  
Razumikhin Theorem ◽  
Time Varying Delay ◽  
Analysis Process ◽  
Guaranteed Cost ◽  
Varying Delay

Synchronization of cellular neural networks with time-varying delay is discussed in this letter. Based on Razumikhin theorem, a guaranteed cost synchronous controller is given. Unlike Lyapunov-Krasovskii analysis process, there is no constraint on the change rate of time delay. The saturated terms emerging in the Razumikhin analysis are amplified by zoned discussion and maximax synthesis rather than by Lipschitz condition and vector inequality, which will bring more conservatism. Then the controller criterion is transformed from quadratic matrix inequality form into linear matrix inequality form, with the help of a sufficient and necessary transformation condition. The minimization of the guaranteed cost is studied, and a further criterion for getting the controller is presented. Finally, the guaranteed cost synchronous control and its corresponding minimization problem are illustrated with examples of chaotic time-varying delay cellular neural networks.

Mean-Square Exponential Stability of Stochastic Interval Cellular Neural Networks with Time-Varying Delay

2013 ◽  
Vol 760-762 ◽  
pp. 1742-1747
Author(s):  
Jin Fang Han
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Cellular Neural Networks ◽  
Time Varying ◽  
Mean Square ◽  
Razumikhin Theorem ◽  
Time Varying Delay ◽  
Mean Square Exponential Stability ◽  
The Mean ◽  
Varying Delay

This paper is concerned with the mean-square exponential stability analysis problem for a class of stochastic interval cellular neural networks with time-varying delay. By using the stochastic analysis approach, employing Lyapunov function and norm inequalities, several mean-square exponential stability criteria are established in terms of the formula and Razumikhin theorem to guarantee the stochastic interval delayed cellular neural networks to be mean-square exponential stable. Some recent results reported in the literatures are generalized. A kind of equivalent description for this stochastic interval cellular neural networks with time-varying delay is also given.

Stability of cellular neural networks with time-varying delay

2003 ◽  
Vol 50 (5) ◽  
pp. 677-679 ◽  
Author(s):  
Gwo-Jeng Yu ◽  
Chien-Yu Lu ◽  
J.S. Tsai ◽  
Te-Jen Su ◽  
Bin-Da Liu
Keyword(s):  
Neural Networks ◽  
Cellular Neural Networks ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

Stability of cellular neural networks with time varying delay

2010 ◽  
Vol 9 (1/2) ◽  
pp. 59 ◽  
Author(s):  
Jian hua Zhang ◽  
Hui guang Li ◽  
Xin ping Guan ◽  
Xue li Wu
Keyword(s):  
Neural Networks ◽  
Cellular Neural Networks ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay
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