Exponential stability of Cohen-Grossberg neural networks. |
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| Authors: | Lin Wang Xingfu Zou |
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| Affiliation: | College of Mathematics and Econometrics, Hunan University, Changsha, People's Republic of China. lin@math.mun.ca |
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| Abstract: | Exponential stabilities of the Cohen-Grossberg neural network with and without delays are analyzed. By Liapunov functions/functionals, sufficient conditions are obtained for general exponential stability, while by using a comparison result from the theory of monotone dynamical systems, componentwise exponential stability is also discussed. All results are established without assuming any symmetry of the connection matrix, and the differentiability and monotonicity of the activation functions. |
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