Obstructions to asymptotic stabilization
Dynamical Systems
2022-11-15 v4 Algebraic Topology
Differential Geometry
Optimization and Control
Abstract
Necessary conditions for asymptotic stability and stabilizability of subsets for dynamical and control systems are obtained. The main necessary condition is homotopical and is in turn used to obtain a homological one. A certain extension is ruled out. Questions are posed.
Cite
@article{arxiv.2205.07840,
title = {Obstructions to asymptotic stabilization},
author = {Matthew D. Kvalheim},
journal= {arXiv preprint arXiv:2205.07840},
year = {2022}
}
Comments
Accepted to SIAM J Control and Optimization