Neural networks for control, robotics and diagnostics
Neural Computing and Applications - Special Issue: Neural networks for control, robotics and diagnostics
Synchronization in time-discrete delayed chaotic systems
Neurocomputing
Large memory capacity in chaotic artificial neural networks: a view of the anti-integrable limit
IEEE Transactions on Neural Networks
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Global Synchronization in an Array of Delayed Neural Networks With Hybrid Coupling
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A unified framework for chaotic neural-network approaches to combinatorial optimization
IEEE Transactions on Neural Networks
Delayed Standard Neural Network Models for Control Systems
IEEE Transactions on Neural Networks
Adaptive Synchronization Between Two Different Chaotic Neural Networks With Time Delay
IEEE Transactions on Neural Networks
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This brief studies exponential H∞ synchronization of a class of general discrete-time chaotic neural metworks with external disturbance. On the basis of the drive-response concept and H∞ 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∞ 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 neurul 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∞ 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.