New results for global exponential synchronization in neural networks via functional differential inclusions

Chaos
Dongshu WangLongkun Tang

Abstract

This paper is concerned with the synchronization dynamical behaviors for a class of delayed neural networks with discontinuous neuron activations. Continuous and discontinuous state feedback controller are designed such that the neural networks model can realize exponential complete synchronization in view of functional differential inclusions theory, Lyapunov functional method and inequality technique. The new proposed results here are very easy to verify and also applicable to neural networks with continuous activations. Finally, some numerical examples show the applicability and effectiveness of our main results.

References

Dec 14, 2005·IEEE Transactions on Neural Networks·Mauro FortiDuccio Papini
Sep 28, 2006·IEEE Transactions on Neural Networks·Hongtao Lu, Shun-ichi Amari
Feb 23, 2010·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Xiaoyang Liu, Jinde Cao
Jun 22, 2010·IEEE Transactions on Neural Networks·Walter AllegrettoMauro Forti
Jul 19, 2011·Neural Networks : the Official Journal of the International Neural Network Society·Xiaoyang LiuWenlian Lu
Aug 26, 2011·Neural Networks : the Official Journal of the International Neural Network Society·Bo LiuTianping Chen
May 25, 2012·Neural Networks : the Official Journal of the International Neural Network Society·Zuowei CaiXiaoyan Chen
Jan 11, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Dongshu Wang, Lihong Huang

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