Synchronization of cellular neural networks of neutral type via dynamic feedback controller

2009 ◽  
Vol 42 (3) ◽  
pp. 1299-1304 ◽  
Author(s):  
Ju H. Park
Keyword(s):  
Neural Networks ◽  
Neutral Type ◽  
Cellular Neural Networks ◽  
Feedback Controller ◽  
Dynamic Feedback

scholarly journals Adaptive Synchronization for a Class of Cellular Neural Networks with Pantograph Delays

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Xuehui Mei ◽  
Jiuju Xing ◽  
Haijun Jiang ◽  
Cheng Hu ◽  
Liwei Zhang
Keyword(s):  
Neural Networks ◽  
Lyapunov Functional ◽  
Cellular Neural Networks ◽  
Feedback Controller ◽  
Adaptive Synchronization ◽  
Functional Theory ◽  
Adaptive Feedback ◽  
Synchronization Problem ◽  
Inequality Technique

This paper deals with the synchronization problem for a class of cellular neural networks with pantograph delays. By using Lyapunov functional theory and inequality technique, some new and useful results are obtained for asymptotical synchronization under adaptive feedback controller.

Convergence of neutral type proportional-delayed HCNNs with D operators

2019 ◽  
Vol 12 (01) ◽  
pp. 1950002 ◽  
Author(s):  
Yanli Xu ◽  
Jiaming Zhong
Keyword(s):  
Neural Networks ◽  
Numerical Simulations ◽  
Differential Inequality ◽  
Exponential Convergence ◽  
Neutral Type ◽  
Cellular Neural Networks ◽  
High Order ◽  
Proportional Delays ◽  
Global Exponential Convergence ◽  
Inequality Techniques

This paper is concerned with neutral type high-order cellular neural networks (HCNNs) involving proportional delays and [Formula: see text] operators. Some criteria are established for the global exponential convergence of the addressed models by using differential inequality techniques. Moreover, an example and its numerical simulations are employed to illustrate the main results.

scholarly journals Global Exponential Stability of Almost Periodic Solution for Neutral-Type Cohen-Grossberg Shunting Inhibitory Cellular Neural Networks with Distributed Delays and Impulses

2016 ◽  
Vol 2016 ◽  
pp. 1-14 ◽  
Author(s):  
Lijun Xu ◽  
Qi Jiang ◽  
Guodong Gu
Keyword(s):  
Neural Networks ◽  
Periodic Solution ◽  
Exponential Stability ◽  
Global Exponential Stability ◽  
Neutral Type ◽  
Impulsive Differential Equations ◽  
Cellular Neural Networks ◽  
Almost Periodic Solution ◽  
Distributed Delays ◽  
Almost Periodic

A kind of neutral-type Cohen-Grossberg shunting inhibitory cellular neural networks with distributed delays and impulses is considered. Firstly, by using the theory of impulsive differential equations and the contracting mapping principle, the existence and uniqueness of the almost periodic solution for the above system are obtained. Secondly, by constructing a suitable Lyapunov functional, the global exponential stability of the unique almost periodic solution is also investigated. The work in this paper improves and extends some results in recent years. As an application, an example and numerical simulations are presented to demonstrate the feasibility and effectiveness of the main results.

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