Harmless delays in Cohen-Grossberg neural networks

Without assuming monotonicity and differentiability of the activation functions and any symmetry of interconnections, we establish some sufficient conditions for the globally asymptotic stability of a unique equilibrium for the Cohen-Grossberg neural network with multiple delays. Lyapunov functionals and functions combined with the Razumikhin technique are employed. The criteria are all independent of the magnitudes of the delays, and thus the delays under these conditions are harmless. (C) 2002 Elsevier Science B.V. All rights reserved.