Stochastic accessibility on Grushin-type manifolds

Teodor Ţurcanu and Constantin Udrişte

Statistics & Probability Letters, 2017, vol. 125, issue C, 196-201

Abstract: We consider a non-smooth Grushin-type distribution, defined on Rn, whose stochastic perturbation defines the admissible stochastic processes. Our main result is a stochastic accessibility theorem on the corresponding Grushin manifold. More specifically, given two points P and Q, we show how to steer an admissible stochastic processes, starting at P, such that it strikes an arbitrarily small ball centered at Q, asymptotically almost surely.

Keywords: Stochastic controllability; Grushin-type manifold; Wiener process (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1016/j.spl.2017.02.009

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