P‐moment stability under small Gauss type random excitation of stochastic system. (1st September 2016) - Lu, Zhanhui
Abstract : In this paper, the stochastic stability under small Gauss type random excitation is investigated theoretically and numerically. When p is larger than 0, the p ‐moment stability theorem of stochastic models is proved by Lyapunov method, Ito isometry formula, matrix theory and so on. Then the application of p ‐moment such as k ‐order moment of the origin and k ‐order moment of the center is introduced and analyzed. Finally, p ‐moment stability of the power system is verified through the simulation example of a one machine and infinite bus system. Copyright © 2016 John Wiley & Sons, Ltd.