The Dahlquist Constant Approach to Stability Analysis of the Static Neural Networks

Authors:
Guanjun Li;Jin Xu
Affiliations:
Department of Mathematics, Huainan Normal University, Anhui, China 232001;Department of Mathematics, Huainan Normal University, Anhui, China 232001
Venue:
ISNN '09 Proceedings of the 6th International Symposium on Neural Networks on Advances in Neural Networks
Year:
2009

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Abstract

Avoiding the difficulty of constructing a proper Lyapunov function, the generalized Dahlquist constant approach is employed to investigate the exponential stability of the static neural networks. Without assuming the boundedness, monotonicity of the activations, a new sufficient conditions for existence of an unique equilibrium and the exponential stability of the neural networks are presented. An example is given to show the effectiveness of our results.