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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2012, Issue 1(39), Pages 84–85 (Mi iimi39)  
The structure of the boundary of the controllability set of a linear subcritical system with vector-valued control

V. V. Lukyanov

Udmurt State University, Izhevsk
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Abstract: The time-optimal problem of reaching the origin for a linear nonstationary subcritical system with vector-valued control is considered. It is proved that the boundary of the controllability set is a union of pairwise disjoint smooth manifolds of various dimensions.
Keywords: linear control system, subcritical system, controllability set.
Received: 14.02.2012
Bibliographic databases:
Document Type: Article
UDC: 517.977
MSC: 34H05
Language: Russian
Citation: V. V. Lukyanov, “The structure of the boundary of the controllability set of a linear subcritical system with vector-valued control”, Izv. IMI UdGU, 2012, no. 1(39), 84–85
Citation in format AMSBIB
\Bibitem{Luk12}
\by V.~V.~Lukyanov
\paper The structure of the boundary of the controllability set of a linear subcritical system with vector-valued control
\jour Izv. IMI UdGU
\yr 2012
\issue 1(39)
\pages 84--85
\mathnet{http://mi.mathnet.ru/iimi39}
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    		Известия Института математики и информатики Удмуртского государственного университета
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