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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 12, Pages 2115–2125 (Mi zvmmf9581)  
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system

A. I. Kalinin

Belarussian State University, pr. Nezavisimosti 4, Minsk, 220030 Belarus
Full-text PDF (228 kB) Citations (2)
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Abstract: The optimization of a transient process in a linear singularly perturbed system is considered. The goal is to find a (multidimensional) control of minimal intensity. An algorithm for constructing asymptotic approximations to the solution of the problem is proposed. The main advantage of the algorithm is that the original problem decomposes into optimal control problems of lower dimension.
Key words: optimal control, linear system, minimal force, singular perturbations, asymptotic approximations, computational algorithm.
Received: 24.05.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 12, Pages 1989–1999
DOI: https://doi.org/10.1134/S0965542511120128
Bibliographic databases:
Document Type: Article
UDC: 519.626.1
Language: Russian
Citation: A. I. Kalinin, “Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011), 2115–2125; Comput. Math. Math. Phys., 51:12 (2011), 1989–1999
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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