Exponential H(infinity) synchronization of general discrete-time chaotic neural networks with or without time delays

IEEE Transactions on Neural Networks
Donglian QiSenlin Zhang

Abstract

This brief studies exponential H(infinity) synchronization of a class of general discrete-time chaotic neural networks with external disturbance. On the basis of the drive-response concept and H(infinity) control theory, and using Lyapunov-Krasovskii (or Lyapunov) functional, state feedback controllers are established to not only guarantee exponential stable synchronization between two general chaotic neural networks with or without time delays, but also reduce the effect of external disturbance on the synchronization error to a minimal H(infinity) norm constraint. The proposed controllers can be obtained by solving the convex optimization problems represented by linear matrix inequalities. Most discrete-time chaotic systems with or without time delays, such as Hopfield neural networks, cellular neural networks, bidirectional associative memory networks, recurrent multilayer perceptrons, Cohen-Grossberg neural networks, Chua's circuits, etc., can be transformed into this general chaotic neural network to be H(infinity) synchronization controller designed in a unified way. Finally, some illustrated examples with their simulations have been utilized to demonstrate the effectiveness of the proposed methods.

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Citations

Jun 13, 2013·IEEE Transactions on Cybernetics·Zheng-Guang WuJian Chu
Apr 9, 2014·IEEE Transactions on Cybernetics·Zheng-Guang WuJian Chu
Mar 1, 2013·IEEE Transactions on Neural Networks and Learning Systems·Zheng-Guang WuJian Chu
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Meiqin LiuWeihua Sheng
Nov 17, 2011·IEEE Transactions on Neural Networks·Mircea-Bogdan RădacStefan Preitl
Mar 6, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Meiqin LiuMeikang Qiu
Sep 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Zheng-Guang WuJian Chu
Mar 31, 2015·IEEE Transactions on Neural Networks and Learning Systems·Lixian ZhangWei Xing Zheng
Nov 10, 2015·IEEE Transactions on Neural Networks and Learning Systems·Zhuo WangHui Peng

Related Concepts

Cortical Synchronization
Feedback - System Communication
Neural Networks (Anatomic)
Reaction Time
Log-Linear Models
Neural Network Simulation
Chaos Theory
Memory
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