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arXiv · 2205.07840

Obstructions to asymptotic stabilization

Matthew D. Kvalheim
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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.

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Matthew D. Kvalheim. 2022-05-16. Obstructions to asymptotic stabilization. https://arxiv.org/abs/2205.07840

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