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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 3, Pages 158–169 (Mi timm413)  
This article is cited in 10 scientific papers (total in 10 papers)

On optimality conditions for the guaranteed result in control problems for time-delay systems

N. Yu. Lukoyanov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (206 kB) Citations (10)
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Abstract: For control problems under disturbance of dynamical systems described by differential equations with discrete and distributed time delays and with initial data satisfying the Lipschitz property, the corresponding Lipschitzness of the optimal guaranteed result functional is established and inequalities for its directional derivatives are obtained.
Keywords: optimal control, differential games, time-delay systems.
Received: 04.03.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2010, Volume 268, Issue 1, Pages S175–S187
DOI: https://doi.org/10.1134/S0081543810050135
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: N. Yu. Lukoyanov, “On optimality conditions for the guaranteed result in control problems for time-delay systems”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 3, 2009, 158–169; Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S175–S187
Citation in format AMSBIB
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\pages 158--169
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\pages S175--S187
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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