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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 1, Pages 63–75 (Mi timm529)  
This article is cited in 6 scientific papers (total in 6 papers)

Asymptotics of the optimal time in a singular perturbation linear problem

A. R. Danilin, O. O. Kovrizhnykh

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (191 kB) Citations (6)
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Abstract: A time-optimal control problem is considered for a linear system with fast and slow variables and smooth geometric constraints on the control. For the optimal time and optimal control, asymptotic expansions in a small parameter at the derivatives in the equations of the system and a small perturbation of the initial conditions are constructed.
Keywords: optimal control, time-optimal control problem, asymptotic expansion, singular perturbation problems, small parameter.
Received: 11.11.2009
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2010, Volume 271, Issue 1, Pages S53–S65
DOI: https://doi.org/10.1134/S0081543810070059
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. R. Danilin, O. O. Kovrizhnykh, “Asymptotics of the optimal time in a singular perturbation linear problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 1, 2010, 63–75; Proc. Steklov Inst. Math., 271, suppl. 1 (2010), S53–S65
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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