Uniform Stability of Impulsive Cohen-Grossberg Neural Networks with Variable Delays

This paper is concerned with the stability of the impulsive Cohen-Grossberg neural networks with variable delays. By means of matrices theory, Lyapunov function and analysis technique, sufficient conditions are obtained for the uniform stability of a unique equilibrium solution of this system. We can see that impulses do contribution to system´s uniform stability, so the impulsive system is stable whether the corresponding continuous-time system is stable or not. As the applications of the main theorems, some uniform stability criteria are established for several well known impulsive ecological models with variable delays.