Global exponential stability of Cohen–Grossberg neural networks with variable delays |
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| Affiliation: | 1. National Traction Power Laboratory, Southwest Jiaotong University, Chengdu 610031, People''s Republic of China;2. Suda Laboratory, Center of Collaborative Research and Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo 153-8505, Japan |
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| Abstract: | In this Letter, the conditions ensuring existence, uniqueness of the equilibrium point of Cohen–Grossberg neural networks with variable delays are obtained under more general assumption about activation functions. Applying idea of vector Liapunov function, and M-matrix theory, the sufficient conditions for global exponential stability of Cohen–Grossberg neural networks are obtained. These results generalize a few previous known results and remove some restrictions on the neural networks. |
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