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Global exponential stability of impulsive Cohen–Grossberg neural network with time-varying delays
Institution:1. Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China;2. National Traction Power Laboratory, Southwest Jiaotong University, Chengdu 610031, China
Abstract:In this paper, the impulsive Cohen–Grossberg neural network model with time-varying delays is considered. Applying the idea of vector Lyapunov function, M-matrix theory and inequality technique, several new sufficient conditions are obtained to ensure global exponential stability of equilibrium point for impulsive Cohen–Grossberg neural network with time-varying delays. These results generalize a few previous known results and remove some restrictions on the neural network. An example is given to show the effectiveness of the obtained results. It is believed that these results are significant and useful for the design and applications of the Cohen–Grossberg neural network.
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