Global stability of cohen-grossberg neural networks with distributed delays

Authors:
Weirui Zhao;Huanshui Zhang
Affiliations:
Shenzhen Graduate School, Harbin Institute of Technology, HIT Campus of ShenZhen University Town, Xili, Shenzhen, P.R. China;Shenzhen Graduate School, Harbin Institute of Technology, HIT Campus of ShenZhen University Town, Xili, Shenzhen, P.R. China
Venue:
ICONIP'06 Proceedings of the 13 international conference on Neural Information Processing - Volume Part I
Year:
2006

Citing 3
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Abstract

In this paper, the Cohen-Grossberg neural networks with distributed delays are considered without assuming any symmetry of connection matrix and differentiability of the activation functions. By constructing a novel Lyapunov functional, new sufficient criteria for the existence of a unique equilibrium and global exponential stability of the network are derived. Those results are shown to generalize the previous global exponential stability results derived in the literature.