Global Exponential Stability of a Class of Variable Time-delay Cellular Neural Networks

In view of variable time-delay cellular neural networks with activation function bounded and meeting the conditions of Lippschitz, the result of the global exponential stability is obtained by constructing a special Lyapunov function equality and using Lyapunov function technology and matrix inequality. The global exponential stability of variable time-delay cellular neural networks whose activation function is piecewise linear function is discussed. An example and its computer simulation is given to prove the effectiveness of the obtained result. Finally the result of this paper is discussed by comparing existing achievements, and it is with advantage of low dimension validated matrix, simple calculation and easy computer implementation.