Global Controllability of Multidimensional Rigid Body by Few Torques
Optimization and Control
2009-12-16 v1 Mathematical Physics
math.MP
Abstract
We study global controllability of 'rotating' multidimensional rigid body (MRB) controlled by application of few torques. Study by methods of geometric control requires analysis of algebraic structure introduced by the quadratic term of Euler-Frahm equation. We discuss problems, which arise in the course of this analysis, and establish several global controllability criteria for damped and non damped cases.
Keywords
Cite
@article{arxiv.0912.2900,
title = {Global Controllability of Multidimensional Rigid Body by Few Torques},
author = {Andrey V. Sarychev},
journal= {arXiv preprint arXiv:0912.2900},
year = {2009}
}
Comments
presented at Special Session 'Geometric Control for Quantum and Clasical Models' of 4th International Scientific Conference on Physics and Control, Catania, Italy, September 1-4, 2009