Stability of High Order Fuzzy Cohen-Grossberg Neural Networks with Unbounded Time Delays

Using M-matrix theory, matrix inequality and vector Lyapunov methods, the global exponential stability of a class of high-order fuzzy Cohen-Grossberg neural networks with unbounded time delays was investigated. Without assuming the monotonicity, differentiability and Lipschitz continuity of the active functions, the algebraic criteria ensuring existence, uniqueness and exponential stability of the equilibrium point in the neural networks were obtained. The criteria is independent to the reaction diffusion and the time delays of neural networks by the explicit form of M-matrix,and easy to be checked in application. Finally, the correctness and validity of the methods was verified by a numerical example.