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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2018, Volume 21, Number 2, Pages 201–213
DOI: https://doi.org/10.15372/SJNM20180206 (Mi sjvm678) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Tracking the solution to a nonlinear distributed differential equation by feedback laws

Yu. S. Osipovab, V. I. Maksimovc

a Lomonosov Moscow State University, 1 Leninskie Gory, Moscow, 119991, Russia
b Steklov Mathematical Institute RAS, 8 Gubkina str., Moscow, 119991, Russia
c Krasovskii Institute of Mathematics and Mechanics UB RAS, 16 S. Kovalevskaya str., Yekaterinburg, 620990, Russia
Full-text PDF (506 kB) Citations (8)
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DOI: https://doi.org/10.15372/SJNM20180206
Abstract: A nonlinear distributed second order equation is considered. An algorithm for tracking a prescribed solution based on constructions from the feedback control theory is designed. The algorithm is stable with respect to informational noise and computational errors. It is oriented to a large enough time interval, where the solution is considered.
Key words: distributed differential equation, feedback, tracking problem.
Funding agency Grant number
Russian Science Foundation 14-11-00539
Received: 31.10.2017
Revised: 01.12.2017
English version:
Numerical Analysis and Applications, 2018, Volume 11, Issue 2, Pages 158–169
DOI: https://doi.org/10.1134/S1995423918020064
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: Yu. S. Osipov, V. I. Maksimov, “Tracking the solution to a nonlinear distributed differential equation by feedback laws”, Sib. Zh. Vychisl. Mat., 21:2 (2018), 201–213; Num. Anal. Appl., 11:2 (2018), 158–169
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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