and Applied Analysis 3 positive τij and τ̇ ij such that 0 ≤ τij t ≤ τij and τ̇ij t ≤ τ̇ ij < 1; kij · correspond to the delay kernel functions, coupledmatrix are αij t n×n and βij t n×n in which αii t ≥ 0 and βii t ≥ 0 and αij t , βij t are bounded on 0, ∞ . Throughout this paper, we assume for system 2.1 and 2.2 that H1 amplification functions ai · are continuous and there exist constants ai, ai ...

In this paper we give a sufficient condition to imply local and global asymptotic attractivity of the equilibrium of the Cohen-Grossberg neural network with time-dependent delays of the form ẋi(t) = ci(x(t)) 

and Applied Analysis 3 see 35 . When designing an associative memory neural network, we should make convergence speed as high as possible to ensure the quick convergence of the network operation. Therefore, pth moment p ≥ 2 exponential stability and almost sure exponential stability are most useful concepts as they imply that the solutions will tend to the trivial solution exponentially fast. T...