时滞非线性随机大系统的指数稳定性

Exponential stability of nonlinear stochastic large-scale systems with delays

建立了一般随机泛函微分方程p阶均值指数稳定与几乎必然指数稳定的新型判据 ,然后应用所得判据到具有可变多时滞的非线性随机大系统 ,得到了这种随机大系统时滞无关的均方指数稳定与几乎必然指数稳定的代数判据 .

We establish a new criteria of p-order moment exponential stability and the almost sure exponential stability for stochastic functional differential equation. Applying the derived criteria to nonlinear stochastic large-systems with variable multi-delay, we get the algebraic criteria of the delay-independent mean square exponential stability and the almost sure exponential stability for this type of stochastic large-scale systems.