title: Convergence of nonautonomous Cohen-Grossberg-type neural networks with variable delays.
abstract: This paper is concerned with the global convergence of the solutions of a nonautonomous system with variable delays, arising from the description of the states of neurons in delayed Cohen-Grossberg type in a time-varying situation. By exploring intrinsic features between nonautonomous system and its asymptotic equation, several novel sufficient conditions are established to ensure that all solutions of the networks converge to a periodic function or a constant vector for delayed Cohen-Grossberg-type neural network (NN) models in time-varying situation. The results can be applied directly to group of NNs models including Hopfield NNs, bidirectional association memory NNs, and cellular NNs. Our results are not only presented in terms of system parameters and can be easily verified but also are less restrictive than previously known criteria. Numerical simulations have also been presented to demonstrate the theoretical analysis.
authors.affiliation: College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, China. yzhh312@tom.com
authors.forename: Zhaohui
authors.initials: Z
authors.lastname: Yuan
authors.forename: Lihong
authors.initials: L
authors.lastname: Huang
authors.forename: Dewen
authors.initials: D
authors.lastname: Hu
authors.forename: Bingwen
authors.initials: B
authors.lastname: Liu
mesh_terms: D000465:Algorithms; D006801:Humans; D008962:Models, Theoretical; D016571:Neural Networks, Computer; D010363:Pattern Recognition, Automated / Q000379:methods*; D011930:Reaction Time; D013997:Time Factors