Responses of non-holonomic systems excited by non-gaussian impulsive noise

Aim To study the response of non-holonomic systems subjected to Poisson-distributed (non-Gaussian) pulse processes. Methods An efficient method for calculating the response moments of non-holonomic systems under non- Gaussian noises was presented. The procedure to be followed was based on an extension of the traditional method of Itô stochastic differential equation, in which the increment of the Wiener process was substituted by the increment of a compound Poisson process. Results Firstly, the stochastic differential equation of holonomic systems corresponding to the non-holonomic systems excited by the non-Gaussian noise was given and a general monent equation of the dynamic system was derived. Then, thinking about the limitation of the non-holonomic constraint, some results of the stochastic responses of non-holonomic systems were obtained. Conclusion According to the calculating results, it is found that the non-Gaussian model is more closer to the engineering problems.