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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 1, Pages 29–45 (Mi ivm8963)  
This article is cited in 2 scientific papers (total in 2 papers)

Use of finite-dimensional approximations in a problem of stabilization of periodic systems with aftereffect

Yu. F. Dolgii, E. V. Koshkin

Chair of Mechanics and Mathematical Modeling, Ural Federal University, 19 Mira str., Ekatherinburg, 620002 Russia
Full-text PDF (274 kB) Citations (2)
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Abstract: We consider a stabilization problem for linear periodic system of differential equations with aftereffect. Approximating systems are described by differential equations with finite-dimensional Volterra operators. We construct admissible controls by feedback principle in a class of piecewise continuous functions. We obtain a relation between approximating problem of stabilization and a problem of optimal stabilization of autonomous linear system of difference equations.
Keywords: stabilization, systems of linear periodic differential equations with aftereffect, approximating operators, feedback control.
Received: 02.07.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 1, Pages 24–38
DOI: https://doi.org/10.3103/S1066369X1501003X
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: Yu. F. Dolgii, E. V. Koshkin, “Use of finite-dimensional approximations in a problem of stabilization of periodic systems with aftereffect”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 1, 29–45; Russian Math. (Iz. VUZ), 59:1 (2015), 24–38
Citation in format AMSBIB
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\by Yu.~F.~Dolgii, E.~V.~Koshkin
\paper Use of finite-dimensional approximations in a~problem of stabilization of periodic systems with aftereffect
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 1
\pages 29--45
\mathnet{http://mi.mathnet.ru/ivm8963}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 1
\pages 24--38
\crossref{https://doi.org/10.3103/S1066369X1501003X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84920847948}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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