Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 10, Pages 53–64 (Mi ivm9164)  
This article is cited in 4 scientific papers (total in 4 papers)

Tracking of solution to parabolic equation with memory for general class of controls

P. G. Surkov

Ural Federal University named after B. N. Yel'tsin, 19 Mira str., Ekaterinburg, 620002 Russia
Full-text PDF (222 kB) Citations (4)
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Abstract: We consider a control problem for parabolic equation with memory. It consists in constructing an algorithm for finding a feedback control such that a solution to a given equation should track a solution to another equation generated by an unknown right-hand side. We propose two noise-resistant solution algorithms for this problem which are based on the method of extremal shift. The first algorithm is applicable in the case of continuous measurements of phase states, whereas the second one presumes discrete measurements.
Keywords: systems with distributed parameters, retarded systems, control.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 15-7-1-22
Received: 18.03.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 10, Pages 44–54
DOI: https://doi.org/10.3103/S1066369X16100078
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: P. G. Surkov, “Tracking of solution to parabolic equation with memory for general class of controls”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 10, 53–64; Russian Math. (Iz. VUZ), 60:10 (2016), 44–54
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/ivm/y2016/i10/p53
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :53
    References:57
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