This paper considers the existence and uniqueness of solution to neutral stochastic functional differential equation with infinite delay with local Lipschitz condition but neither the linear growth condition. And we discuss the asymptotic properties of this solution including moment boundedness and the almost sure stability. The stability is more general and representative than the exponential stability. This investigation uses a specific Lyapunov function based on usual methods. To illustrate our idea more carefully, we introduce a function, which will be used as the decay function. A One-dimension nonlinear example is discussed to illustrate the theory.

For increasingly complex often appear in the low frequency oscillation of interconnected power grid, rapid positioning disturbance source to ensure the rapid processing of the accident, reduce accident influence has become especially important, therefore in the national grid project of related study proposes a decomposition method and moment method based on the cut set energy partition layer and position of disturbance source theory, and success in the ground demonstration project construction disturbance source location system based on WAMS data sources; Disturbance source localization algorithm, this paper introduces the hardware structure and software structure of system, as well as the system functionality and performance, and use the actual power grid operation data and the simulation output case data validate the system to provide the source of disturbance in the practicality and accuracy of positioning function, system technical index has reached the requirement of demonstration project; For scheduling system was put into operation personnel to provide auxiliary decision becomes a powerful tool for rapid processing oscillation accident, to better ensure the safety of power grid operation stability.

This paper considers the pth moment stability of solution to neutral stochastic delay differential equation with infinite delay with local Lipschitz condition but neither the linear growth condition. The stability is more general and representative than the exponential stability. This investigation uses a specific Lyapunov function based on usual methods. An example is discussed to illustrate the theory.

The paper discusses the pth moment stability of neutral stochastic differential equation with multiple variable delays. The stability is more general and representative than the exponential stability. This investigation uses a specific Lyapunov function based on usual methods. And it discusses the neutral stochastic differential equations with multiple variable delays which is much more general form. Finally a two dimensional half-linear example is discussed to illustrate the theory.