【摘要】 讨论非完整系统响应的概率密度函数,首先给出非完整系统在Poisson白噪声下的概率密度函数所满足的广义Fokker-Planck方程,然后引入扰动法,以激励为高斯白噪声下的F-P-K方程的精确的平稳解为基本解,利用扰动方法来获得激励为Poisson白噪声时的各次修正项.更多还原

【Abstract】 In this paper,we study the equation governing the evolution of the transition probability density function of stochastic nonholonomic system.Firstly,we give the generalized Fokker-Planck equation of nonholonomic system excited by Poisson white noise.Secondly,we choose the solution of FP-K equation of nonholonomic system excited by Gauss white noise as an exact result.Then,by virtue of disturbance method,we discuss the probability density function of nonholonomic system excited by Poisson white noise.更多还原