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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 5, Pages 269–277 (Mi timm630)  
This article is cited in 2 scientific papers (total in 2 papers)

On Hamilton–Jacobi formalism in time-delay control systems

N. Yu. Lukoyanov

Institute of Mathematics and Mechanics Ural Branch RAS
Full-text PDF (131 kB) Citations (2)
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Abstract: For control problems under disturbances in time-delay systems, methods of defining the value of optimal guaranteed result and optimal control strategies are considered on the basis of generalized solutions of appropriate functional equations of the Hamilton–Jacobi type.
Keywords: time-delay systems, control theory, differential games, dynamic programming, Hamilton–Jacobi equations, minimax solutions, viscosity solutions.
Received: 15.02.2010
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: English
Citation: N. Yu. Lukoyanov, “On Hamilton–Jacobi formalism in time-delay control systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 5, 2010, 269–277
Citation in format AMSBIB
\Bibitem{Luk10}
\by N.~Yu.~Lukoyanov
\paper On Hamilton--Jacobi formalism in time-delay control systems
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2010
\vol 16
\issue 5
\pages 269--277
\mathnet{http://mi.mathnet.ru/timm630}
\elib{https://elibrary.ru/item.asp?id=15265854}
Linking options:
  • https://www.mathnet.ru/eng/timm630
  • https://www.mathnet.ru/eng/timm/v16/i5/p269
    • This publication is cited in the following 2 articles:
    1. N. Yu. Lukoyanov, A. R. Plaksin, “On Extremal Shift Strategies in Time-Delay Systems”, Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S192–S202  mathnet  crossref  crossref  isi  elib
    2. Ortiz-Robinson N.L., Rios V.R., “Forward Euler Solutions and Weakly Invariant Time-Delayed Systems”, Abstract Appl. Anal., 2012, 481853  crossref  mathscinet  zmath  isi  elib  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :178
    References:78
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