Relationships Between Necessary Conditions for Feedback Stabilizability

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2312.16752v2.pdf (485.63 KB)

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http://arxiv.org/abs/2312.16752

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https://doi.org/10.48550/arXiv.2312.16752
 http://hdl.handle.net/11603/36730

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UMBC Mathematics and Statistics Department
UMBC Faculty Collection

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

Date

2024-06-05

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journal articles
preprints
Text

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Citation of Original Publication

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Subjects

Electrical Engineering and Systems Science - Systems and Control
Mathematics - Differential Geometry
Computer Science - Systems and Control
Mathematics - Optimization and Control
Mathematics - Algebraic Topology

Abstract

The author's extensions of Brockett's and Coron's necessary conditions for stabilizability are shown to be independent in the fiber bundle picture of control, but the latter is shown to be stronger in the vector bundle picture if the state space is orientable and the Cech-Euler characteristic of the set to be stabilized is nonzero.