Abstract

The finite-time stochastic synchronization of time-delay neural networks with noise disturbance is investigated according to finite-time stability theory of stochastic differential equation. Via constructing suitable Lyapunov function and controllers, finite-time stochastic synchronization is realized and sufficient conditions are derived. By analyzing the synchronization progress, factors affecting the convergence speed are given and feasible suggestions are proposed to improve the convergence rate. Finally, numerical simulations are given to verify the theoretical results.

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