Abstract
This paper is concerned with the problem of mean-square exponential stability for uncertain stochastic neutral systems with nonlinear perturbations and distributed time delays. By introducing an auxiliary vector, it is proved that Lyapunov-Krasovskii functional can be extended to stochastic distributed time-delay systems. Based on the linear matrix inequality (LMI) method, a new mean-square exponential stability criterion for time-delay correlation of stochastic neutral systems is obtained. Finally, the effectiveness of this method is proved by numerical examples.
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