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Problemy Analiza — Issues of Analysis, 2014, Volume 3(21), Issue 2, Pages 52–58
DOI: https://doi.org/10.15393/j3.art.2014.2589 (Mi pa182) 		 
On the stabilization of the linear hybrid system structure

A. N. Kirillovab

a Institute of Applied Mathematical Research, Karelian Research Centre, Russian Academy of Sciences, Pushkinskaya St., 11, 185910 Petrozavodsk, Russia
b Petrozavodsk State University, Lenin Avenue, 33, 185910 Petrozavodsk, Russia
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DOI: https://doi.org/10.15393/j3.art.2014.2589
Abstract: The linear control hybrid system, consisting of a finite set of subsystems (modes) having different dimensions, is considered. The moments of reset time are determined by some complementary function – evolutionary time. This function satisfies the special complementary ordinary differential equation. The mode stabilization problem is solved for some class of piecewise linear controls. The method of stabilization relies on the set of invariant planes, the existence of which is due to the special form of the hybrid system.
Keywords: stabilization, variable structure, hybrid system.
Received: 20.08.2014
Bibliographic databases:
Document Type: Article
MSC: 93B12
Language: English
Citation: A. N. Kirillov, “On the stabilization of the linear hybrid system structure”, Probl. Anal. Issues Anal., 3(21):2 (2014), 52–58
Citation in format AMSBIB
\Bibitem{Kir14}
\by A.~N.~Kirillov
\paper On the stabilization of the linear hybrid system structure
\jour Probl. Anal. Issues Anal.
\yr 2014
\vol 3(21)
\issue 2
\pages 52--58
\mathnet{http://mi.mathnet.ru/pa182}
\crossref{https://doi.org/10.15393/j3.art.2014.2589}
\elib{https://elibrary.ru/item.asp?id=22927222}
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