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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
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  • https://www.mathnet.ru/eng/sjvm/v21/i2/p201
    • This publication is cited in the following 8 articles:
    1. Aleksandar Seizovic, David Thorpe, Steven Goh, Lucas Skoufer, “Cybernetics and battle management system (BMS) in network soldier system application”, Australian Journal of Multi-Disciplinary Engineering, 19:1 (2023), 30  crossref
    2. Alvaro Arroyo Cebeira, Mariano Asensio Vicente, “Adaptive IMM-UKF for Airborne Tracking”, Aerospace, 10:8 (2023), 698  crossref
    3. V. I. Maksimov, “On a Positional Control Problem for a Nonlinear Equation with Distributed Parameters”, Diff Equat, 59:11 (2023), 1527  crossref
    4. Aleksandar Seizovic, David Thorpe, Steven Goh, “Emergent behavior in the battle management system”, Applied Artificial Intelligence, 36:1 (2022)  crossref
    5. V. I. Maksimov, “On guaranteed control of a linear system of differential equations with incomplete information about state coordinates”, Differ. Equ., 57:11 (2021), 1468–1480  crossref  mathscinet  isi  scopus
    6. Yu. S. Osipov, V. I. Maksimov, “On dynamical input reconstruction in a distributed second order equation”, J. Inverse Ill-Posed Probl., 29:5 (2021), 707–719  crossref  mathscinet  isi  scopus
    7. P. G. Surkov, “Tracking the trajectory of a fractional dynamical system when measuring part of state vector coordinates”, Differ. Equ., 56:11 (2020), 1463–1471  crossref  mathscinet  zmath  isi  scopus
    8. V. I. Maksimov, “Extremal Shift in a Problem of Tracking a Solution of an Operator Differential Equation”, Proc. Steklov Inst. Math. (Suppl.), 308, suppl. 1 (2020), S152–S162  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
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