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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 11, Pages 1942–1951 (Mi zvmmf81)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system

Ya. O. Grudo, A. I. Kalinin

Belarussian State University, pr. Nezavisimosti 4, Minsk, 220050, Belarus
Full-text PDF (1141 kB) Citations (2)
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Abstract: The time-optimal control problem for a nonlinear singularly perturbed system with multidimensional controls bounded in the Euclidean norm is considered. An algorithm for constructing asymptotic approximations to its solution is proposed. The main advantage of the algorithm is that the original optimal control problem decomposes into two unperturbed problems of lower dimensions.
Key words: time-optimal control, nonlinear system, singular perturbations, asymptotic approximations.
Received: 14.05.2007
Revised: 24.04.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 11, Pages 1945–1954
DOI: https://doi.org/10.1134/S0965542508110043
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: Ya. O. Grudo, A. I. Kalinin, “Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system”, Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008), 1942–1951; Comput. Math. Math. Phys., 48:11 (2008), 1945–1954
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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