On Geometry of Vector Fields

It is well known that the study of the geometry and topology of the attainability set of a family of vector fields is one of the main tasks of the qualitative control theory, which is closely related to the geometry of orbits of vector fields. In this paper, we present the authors’ results on the ge...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-03, Vol.245 (3), p.375-381
Main Authors: Narmanov, A. Ya, Saitova, S. S.
Format: Article
Language:English
Subjects:
Control systems
Control theory
Family
Fields (mathematics)
Geometry
Mathematics
Mathematics and Statistics
Orbits
Topology
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Summary:It is well known that the study of the geometry and topology of the attainability set of a family of vector fields is one of the main tasks of the qualitative control theory, which is closely related to the geometry of orbits of vector fields. In this paper, we present the authors’ results on the geometry of the attainability set of a family of vector fields: results on the geometry of T -attainability sets and the geometry of orbits of Killing vector fields.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-04699-z