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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 1, Pages 40–48 (Mi ivm8417)  
This article is cited in 13 scientific papers (total in 13 papers)

On tracking solutions of parabolic equations

V. I. Maksimov

Department of Differential Equations, Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
Full-text PDF (186 kB) Citations (13)
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Abstract: We consider a control problem for a parabolic equation. It consists in constructing an algorithm for finding a feedback control such that a solution of a given equation should track a solution of another equation generated by an unknown right-hand side. We propose two noise-resistant solution algorithms for the indicated problem. They are based on the extremal shift method well-known in the guaranteed control theory. The first algorithm is applicable in the case of “continuous” measuring of phase states, whereas the second one implies discrete measuring.
Keywords: systems with distributed parameters, control.
Received: 08.02.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 1, Pages 35–42
DOI: https://doi.org/10.3103/S1066369X12010057
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: V. I. Maksimov, “On tracking solutions of parabolic equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 1, 40–48; Russian Math. (Iz. VUZ), 56:1 (2012), 35–42
Citation in format AMSBIB
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\by V.~I.~Maksimov
\paper On tracking solutions of parabolic equations
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 1
\pages 40--48
\mathnet{http://mi.mathnet.ru/ivm8417}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2975916}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 1
\pages 35--42
\crossref{https://doi.org/10.3103/S1066369X12010057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862669212}
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    • This publication is cited in the following 13 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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