On delayed impulsive Hopfield neural networks(1).

Guan, Zhi Hong; Chen, Guanrong · Neural Netw · 1999

basic_science · Level V

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Abstract

Many evolutionary processes, particularly some biological systems, exhibit impulsive dynamical behaviors, which can be well described by impulsive Hopfield neural networks. This paper formulates and studies a model of delayed impulsive Hopfield neural networks. Several fundamental issues such as global exponential stability, existence and uniqueness of the equilibrium of such networks are established. A numerical example is given for illustration and interpretation of the theoretical results.