Obstructions to asymptotic stabilization

Autor:	Kvalheim, Matthew D.
Rok vydání:	2022
Předmět:	Mathematics - Dynamical Systems Mathematics - Algebraic Topology Mathematics - Differential Geometry Mathematics - Optimization and Control 93D20 37C70 34D45 57R19 55R25
Druh dokumentu:	Working Paper
Popis:	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. Comment: Accepted to SIAM J Control and Optimization
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2205.07840 Zobrazit plný text záznamu View this record from Arxiv