Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays |
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| Authors: | Xilin Fu Xiaodi Li |
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| Institution: | a School of Mathematical Sciences, Shandong Normal University, Ji’nan, 250014, PR China
b School of Mathematical Sciences, Xiamen University, Xia’men, 361005, PR China |
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| Abstract: | In this paper, by means of constructing the extended impulsive delayed Halanay inequality and by Lyapunov functional methods, we analyze the global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays. Some new sufficient conditions ensuring exponential stability of the unique equilibrium point of impulsive Hopfield neural networks with time delays are obtained. Those conditions are more feasible than that given in the earlier references to some extent. Some numerical examples are also discussed in this work to illustrate the advantage of the results we obtained. |
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| Keywords: | Stability Impulsive Hopfield neural networks Equilibrium Time delays |
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