Stability of Cohen–Grossberg neural networks with distributed delays

Abstract

Global asymptotic stability and global exponential stability of the Cohen–Grossberg neural networks and Hopfield neural networks with infinite and finite distributed delays are investigated in this paper. For Hopfield neural networks with distributed delays, local stability is also discussed. The existence and global stability of periodic solutions of Hopfield neural networks with distributed delays and periodic inputs are achieved by using the theory of dissipative systems.