One of the inverse problems of dynamics in the presence of random perturbations is considered. This is the problem of the simultaneous construction of a set of first-order Ito stochastic differential equations with a given integral manifold, and a set of comparison functions. The given manifold is stable in probability with respect to these comparison functions.

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关于稳定程序运动构造的随机反问题

考虑存在随机扰动的动力学反问题之一。这是同时构造具有给定积分流形的一组一阶Ito随机微分方程和一组比较函数的问题。相对于这些比较函数，给定的歧管在概率上是稳定的。