title: On delayed impulsive Hopfield neural networks(1).
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.
authors.affiliation: Department of Automatic Control Engineering, Huazhong University of Science and Technology, Wuhan, People's Republic of China
authors.forename: Zhi Hong
authors.initials: ZH
authors.lastname: Guan
authors.forename: Guanrong
authors.initials: G
authors.lastname: Chen