Obstructions to asymptotic stabilization

arxiv(2023)

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摘要
Necessary conditions for asymptotic stability and stabilizability of subsets for dy-namical 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.
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关键词
feedback stabilization,stabilizability,homotopy,homology,obstruction theory,asymptotic stability
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