M-Matrix-Based Exponential Synchronization of Delayed Neural Networks with Lévy Noise and Markovian Switching

The problem of exponential synchronization is considered for delayed neural networks with Levy noise and ´ Markovian switching. By the technique of stochastic analysis, sufficient conditions are proposed to guarantee the exponential synchronization of master system and slave system. Via Mmatrix approach, the control gain can be obtained from the solution of some linear equations and the Lyapunov exponent of the system is derived as well. A numerical example is presented to verify the effectiveness of our result.