Stability Analysis of Uncertain Stochastic Neural Networks with Interval Time-Varying Delays

This paper is concerned the robust stability analysis problem for uncertain stochastic neural networks with interval time-varying delays. By utilizing a Lyapunov functional and conducting stochastic analysis, we show that the addressed neural networks are globally, robustly, asymptotically stable if a convex optimization problem is feasible. A stability criterion is derived such that for all admissible uncertainties. And the stability criterion is formulated by means of the feasibility of a linear matrix inequality (LMI), which can be effectively solved by some standard numerical packages. A numerical example is given to demonstrate the usefulness of the proposed robust stability criterion.

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