Title | ||
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Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays |
Abstract | ||
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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. |
Year | DOI | Venue |
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2009 | 10.1016/j.cam.2009.02.094 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
earlier reference,exponential stability,lyapunov functional method,global exponential stability,impulsive hopfield neural network,new sufficient condition,numerical example,time delay,impulsive delayed halanay inequality,global attractivity,stability,equilibrium,equilibrium point,lyapunov function | Mathematical optimization,Control theory,Equilibrium point,Exponential stability,Halanay inequality,Numerical analysis,Artificial neural network,Hopfield network,Lyapunov functional,Mathematics,Numerical stability | Journal |
Volume | Issue | ISSN |
231 | 1 | 0377-0427 |
Citations | PageRank | References |
7 | 0.57 | 3 |
Authors | ||
2 |