For a general Cohen-Grossberg neural network model with potentially unbounded time-varying coefficients and infinite distributed delays, we give sufficient conditions for its global asymptotic stability. The model studied is general enough to include, as subclass, the most of famous neural network models such as Cohen-Grossberg, Hopfield, and bidirectional associative memory. Contrary to usual ...

Without assuming the positivity of the amplification functions, we prove some M-matrix criteria for the R(n)(+)-global asymptotic stability of periodic Cohen-Grossberg neural networks with delays. By an extension of the Lyapunov method, we are able to include neural systems with multiple nonnegative periodic solutions and nonexponential convergence rate in our model and also include the Lotka-V...

In this paper, we investigate the delay-dependent robust stability of fuzzy Cohen-Grossberg neural networks with Markovian jumping parameter and mixed time varying delays by delay decomposition method. A new Lyapunov-Krasovskii functional (LKF) is constructed by nonuniformly dividing discrete delay interval into multiple subinterval, and choosing proper functionals with different weighting matr...

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 investigate a class of fuzzy CohenGrossberg neural networks with time delays and impulsive effects. By virtue of stochastic analysis, Halanay inequality for stochastic differential equations, we find sufficient conditions for the global exponential square-mean synchronization of the FCGNNs under noise perturbation. In particular, the traditional assumption on the differentiabi...