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Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays. (English) Zbl 1176.34088
Summary: 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. Some numerical examples are also discussed in this work to illustrate the advantage of the results we obtained.

MSC:
34K20Stability theory of functional-differential equations
34K45Functional-differential equations with impulses
34K25Asymptotic theory of functional-differential equations
92B20General theory of neural networks (mathematical biology)
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References:
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