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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2014, Volume 20, Number 4, Pages 204–217 (Mi timm1127)  
This article is cited in 7 scientific papers (total in 7 papers)

On the approximation of nonlinear conflict-controlled systems of neutral type

N. Yu. Lukoyanovab, A. R. Plaksina

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Yeltsin Ural Federal University
Full-text PDF (364 kB) Citations (7)
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Abstract: We consider approximations of systems of nonlinear neutral-type conflict-controlled equations in Hale's form by systems of high-order ordinary differential equations. A procedure is given for the mutual feedback tracking between the motion of the original neutral-type conflict-controlled system and the motion of the approximating system of ordinary differential equations. The proposed mutual tracking procedure makes it possible to use approximating systems of ordinary differential equations as finite-dimensional modeling guides for neutral-type systems.
Keywords: neutral systems, control theory, differential games.
Received: 29.07.2014
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2016, Volume 292, Issue 1, Pages S182–S196
DOI: https://doi.org/10.1134/S0081543816020152
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: N. Yu. Lukoyanov, A. R. Plaksin, “On the approximation of nonlinear conflict-controlled systems of neutral type”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 4, 2014, 204–217; Proc. Steklov Inst. Math., 292, suppl. 1 (2016), S182–S196
Citation in format AMSBIB
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\vol 20
\issue 4
\pages 204--217
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\jour Proc. Steklov Inst. Math.
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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