随机脉冲微分方程的p阶矩稳定性和参激白噪声作用下Lorenz系统的脉冲同步

考察了随机脉冲微分系统的p阶矩稳定性问题，在更符合脉冲系统一般假设的情况下，建立了条件更弱的随机脉冲微分系统p阶矩稳定性判定定理.并应用该判定定理，考察了参激白噪声作用下Lorenz系统的脉冲同步问题，证明了同步误差系统的p阶矩稳定性，从而说明在p阶矩的意义下，两个系统是可以用脉冲方法实现同步的.数值模拟验证了随机Lorenz系统脉冲同步的可行性. 关键词： 随机脉冲微分方程 p阶矩稳定性')" href="#">p阶矩稳定性 脉冲 同步

p-moment stability of stochastic impulsive differential equations and impulsive synchronization of Lorenz system excited by parameter white-noise

In this paper, the p-moment stability of impulsive differential equations is considered. A theory about this problem under a weak condition and an assumption which is more familiar in impulsive system is proved. As an application, the impulsive synchronization of Lorenz system excited by white-noise is considered, the p-moment stability of error system is proved, so the synchronization can be realized using impulsive method under p-moment stability. Numerical simulation verify the feasibility of this synchronization method.