A stochastic variant of Chow-Rashewski Theorem on the Grushin distribution

作者：Calin Ovidiu^*; Udriste Constantin; Tevy Ionel

来源：Balkan Journal of Geometry and Its Applications, 2014, 19(1): 1-12.

• admissible curve
• stochastic processes
• Grushin distribution
• Brownian motion
• stochastic controllability

This paper introduces and proves a stochastic variant of ChowRashewski global connectivity theorem for the Grushin distribution. Given two points A and B, in the Grushin distribution of step 2, then for any ball centered at B the probability that an admissible stochastic process ever reaches a disk centered at B of arbitrary small radius r can be made as large as possible by choosing proper controls u(1), u(2)(t). The details refer to admissible curves, stochastic admissibility and stochastic controllability.

• 出版日期2014