Krener's theorem

id: krener-s-theorem-306-15062149
title: Krener's theorem
text: In mathematics, Krener's theorem is a result attributed to Arthur J. Krener in geometric control theory about the topological properties of attainable sets of finite-dimensional control systems. It states that any attainable set of a bracket-generating system has nonempty interior or, equivalently, that any attainable set has nonempty interior in the topology of the corresponding orbit. Heuristically, Krener's theorem prohibits attainable sets from being hairy.
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original url: https://en.wikipedia.org/wiki/Krener%27s_theorem
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date modified: 2023-04-17T08:35:28Z
main entity: {"identifier":"Q6436753","url":"https://www.wikidata.org/entity/Q6436753"}
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