Controllability on infinite-dimensional manifolds
Differential Geometry
2014-05-06 v1 Optimization and Control
Abstract
Following the unified approach of A. Kriegl and P.W. Michor (1997) for a treatment of global analysis on a class of locally convex spaces known as convenient, we give a generalization of Rashevsky-Chow's theorem for control systems in regular connected manifolds modelled on convenient (infinite-dimensional) locally convex spaces which are not necessarily normable.
Cite
@article{arxiv.1209.1796,
title = {Controllability on infinite-dimensional manifolds},
author = {Mahdi Khajeh Salehani and Irina Markina},
journal= {arXiv preprint arXiv:1209.1796},
year = {2014}
}
Comments
19 pages, 1 figure