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A New Global Asymptotic Stability Result of Delayed Neural Networks via Nonsmooth Analysis
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International Journal of Communications, Network and System Sciences·Volume 03 (2010)·Pages 294–302·Published 31 March 2010·DOI10.4236/ijcns.2010.33038
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Abstract
In the paper, we obtain new sufficient conditions ensuring existence, uniqueness, and asymptotic stability of the equilibrium point for delayed neural network via nonsmooth analysis, which makes use of the Lipschitz property of the functions. Based on this tool of nonsmooth analysis, we first obtain a couple of general results concerning the existence and uniqueness of the equilibrium point. Then we drive some new sufficient conditions ensuring global asymptotic stability of the equilibrium point. Finally, there are the illustrative examples feasibility and effectiveness of our results. Throughout our paper, the activation function is a more general function which has a wide application.
KeywordsDelayed Neural NetworksGlobal Asymptotic StabilityNonsmooth Analysis
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