New Results on the Robust Stability of Cohen---Grossberg Neural Networks with Delays

Authors:
Libin Rong;Tianping Chen
Affiliations:
Department of Mathematics, Purdue University, West Lafayette, USA 47907;Laboratory of Nonlinear Science, Institute of Mathematics, Fudan University, Shanghai, PR China 200433
Venue:
Neural Processing Letters
Year:
2006

Citing 9
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Abstract

In this letter, a generalized type of Cohen---Grossberg neural networks with time delays are discussed and their global robust stability of the equilibrium point is investigated. By introducing a set of Lyapunov functionals, several new sufficient conditions guaranteeing the global robust convergence are derived. The results show that the amplification function a i (x) is harmless to the robust stability of Cohen---Grossberg neural networks. Two examples are given to demonstrate the applicability of the proposed results.