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Asymptotic properties for neutral stochastic systems with time-varying delay
具有可变时滞的中立型随机系统的渐近性质

Keywords: Lyapunov function,It formula,super-martingales convergence theorem,stability
Lyapunov函数
,It^o公式,上鞅收敛定理,稳定性

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Abstract:

The asymptotic properties of a class of neutral stochastic systems are discussed.By using Lyapunov function,It formula and super-martingales convergence theorem,sufficient criteria on its almost sure asymptotic properties,p-order mean asymptotic properties,almost sure polynomial asymptotic stability,p-order mean polynomial asymptotic stability,almost sure exponential stability and p-order mean exponential stability are obtained.Compared with the classical stochastic stability results,the proposed stability criteria make the best use of the effects of stochastic disturbed term in stochastic systems and cancel the requirement of the negative definite of LV(diffusion operator).

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