On equilibria, stability, and instability of Hopfield neural networks

Z H Guan; G Chen; Y Qin

doi:10.1109/72.839023

On equilibria, stability, and instability of Hopfield neural networks

IEEE Trans Neural Netw. 2000;11(2):534-40. doi: 10.1109/72.839023.

Authors

Z H Guan¹, G Chen, Y Qin

Affiliation

¹ Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, China. guanzh@public.wh.hb.cn

PMID: 18249783
DOI: 10.1109/72.839023

Abstract

Existence and uniqueness of equilibrium, as well as its stability and instability, of a continuous-time Hopfield neural network are studied. A set of new and simple sufficient conditions are derived.