Obstructions to Asymptotic Stabilization

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https://epubs.siam.org/doi/10.1137/22M1500113

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https://doi.org/10.1137/22M1500113
 http://hdl.handle.net/11603/30337

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UMBC Mathematics and Statistics Department

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https://orcid.org/0000-0002-2662-6760

Date

2023-04-30

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journal articles
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Citation of Original Publication

Kvalheim, Matthew D. “Obstructions to Asymptotic Stabilization.” SIAM Journal on Control and Optimization 61, no. 2 (April 30, 2023): 536–42. https://doi.org/10.1137/22M1500113.

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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.