Control sets for bilinear and affine systems

  • Abstract For homogeneous bilinear control systems, the control sets are characterized using a Lie algebra rank condition for the induced systems on projective space. This is based on a classical Diophantine approximation result. For affine control systems, the control sets around the equilibria for constant controls are characterized with particular attention to the question when the control sets are unbounded.

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Metadaten
Author:Fritz ColoniusORCiDGND, Alexandre J. Santana, Juliana Setti
URN:urn:nbn:de:bvb:384-opus4-911717
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/91171
ISSN:0932-4194OPAC
ISSN:1435-568XOPAC
Parent Title (English):Mathematics of Control, Signals, and Systems
Publisher:Springer Science and Business Media LLC
Type:Article
Language:English
Year of first Publication:2021
Publishing Institution:Universität Augsburg
Release Date:2021/12/07
Tag:Applied Mathematics; Control and Optimization; Signal Processing; Control and Systems Engineering
Volume:34
Issue:1
First Page:1
Last Page:35
DOI:https://doi.org/10.1007/s00498-021-00311-0
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehr- und Forschungseinheit Angewandte Analysis
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand)

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