Existence and stability of periodic solution in a class of impulsive neural networks

Authors:
Xiaofan Yang;David J. Evans;Yuanyan Tang
Affiliations:
Department of Computer Science and Engineering, Chongqing University, Chongqing, China;Parallelism, Algorithms and Architectures Research Centre, Department of Computer Science, Loughborough University, Loughborough, Leicestershire, UK;Department of Computer Science and Engineering, Chongqing University, Chongqing, China
Venue:
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Year:
2005

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Abstract

In this paper, we initiate the study of a class of neural networks with impulses. A sufficient condition for the existence and global exponential stability of a unique periodic solution of the networks is established. Our condition does not assume the differentiability or monotonicity of the activation functions.