【摘要】 本文研究非完整系统在Gauss白噪声下的扰动,证明解过程的一次矩方程与无扰动情形下的方程一致,二次矩方程不含ε项,但包含ε~2项,从而得出两个命题.最后,举例说明结果的应用.更多还原

【Abstract】 The perturbations of nonholonomic mechanical systems under .the Gauss white noises are studied in this paper. It is proved that the differential equations of the first-order moments of the solution process coincide with the corresponding equations in the non-perturbational case, and that there are terms but no e-tcrms in the differential equations of the second-ordor moments. Two propositions arc obtained. Finally, an example is given to illustrate’ the application of the results.更多还原