Dynamics of competitive neural networks with inverse lipschitz neuron activations

Authors:
Xiaobing Nie;Jinde Cao
Affiliations:
Department of Mathematics, Southeast University, Nanjing, China;Department of Mathematics, Southeast University, Nanjing, China
Venue:
ISNN'10 Proceedings of the 7th international conference on Advances in Neural Networks - Volume Part I
Year:
2010

Citing 6
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Abstract

In this paper, by using nonsmooth analysis approach, topological degree theory and Lyapunov-Krasovskii function method, the issue of global exponential stability is investigated for competitive neural networks possessing inverse Lipschitz neuron activations Several novel sufficient conditions are established towards the existence, uniqueness and global exponential stability of the equilibrium point for competitive neural networks with time-varying delay.