The Accessibility Problem for Geometric Rough Differential Equations

Boutaib, Youness ORCID: 0000-0002-2032-2512 (2023) The Accessibility Problem for Geometric Rough Differential Equations. Journal of Dynamical and Control Systems, 29 (4). pp. 1669-1693.

Access the full-text of this item by clicking on the Open Access link.

Official URL: http://dx.doi.org/10.1007/s10883-023-09648-y

Abstract

<jats:title>Abstract</jats:title><jats:p>We show how to use geometric arguments to prove that the terminal solution to a rough differential equation driven by a geometric rough path can be obtained by driving the same equation by a piecewise linear path. For this purpose, we combine some results of the seminal work of Sussmann on orbits of vector fields [1] with the rough calculus on manifolds developed by Cass, Litterer and Lyons in [2].</jats:p>

Item Type:	Article
Uncontrolled Keywords:	Rough paths, Rough analysis on manifolds, Accessibility, Orbits, 53Cxx
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	30 Jun 2023 07:57
Last Modified:	08 Dec 2023 23:50
DOI:	10.1007/s10883-023-09648-y
Open Access URL:	https://doi.org/10.1007/s10883-023-09648-y
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3171373