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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 2, Pages 3–14 (Mi sjim660)  
This article is cited in 1 scientific paper (total in 1 paper)

Approximate solution to the resource consumption minimization problem. I. Construction of a quasioptimal control

V. M. Aleksandrova, V. A. Dykhtab

a Sobolev Institute of Mathematics SB RAS, Novosibirsk, RUSSIA
b Institute of Systems Dynamics and Control SB RAS, Irkutsk, RUSSIA
Full-text PDF (357 kB) Citations (1)
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Abstract: For linear systems with constrained control and fixed transition time, we propose two methods for solving the resource consumption minimization problem approximately. We prove that the switching moments of resource-quasioptimal controls are independent of the initial conditions and constant for autonomous systems. Some region of the initial conditions is found for which the constraints on the control are never violated.
Keywords: optimal control, quasioptimal control, resource expenditure, linear system, switching moments, conjugate system, admissible region.
Received: 19.07.2010
English version:
Journal of Applied and Industrial Mathematics, 2011, Volume 5, Issue 4, Pages 467–477
DOI: https://doi.org/10.1134/S1990478911040016
Bibliographic databases:
Document Type: Article
UDC: 519.626.1
Language: Russian
Citation: V. M. Aleksandrov, V. A. Dykhta, “Approximate solution to the resource consumption minimization problem. I. Construction of a quasioptimal control”, Sib. Zh. Ind. Mat., 14:2 (2011), 3–14; J. Appl. Industr. Math., 5:4 (2011), 467–477
Citation in format AMSBIB
\Bibitem{AleDyk11}
\by V.~M.~Aleksandrov, V.~A.~Dykhta
\paper Approximate solution to the resource consumption minimization problem.~I. Construction of a~quasioptimal control
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 2
\pages 3--14
\mathnet{http://mi.mathnet.ru/sjim660}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2953784}
\transl
\jour J. Appl. Industr. Math.
\yr 2011
\vol 5
\issue 4
\pages 467--477
\crossref{https://doi.org/10.1134/S1990478911040016}
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  • https://www.mathnet.ru/eng/sjim660
  • https://www.mathnet.ru/eng/sjim/v14/i2/p3
    Cycle of papers
    This publication is cited in the following 1 articles:
    1. V. M. Aleksandrov, V. A. Dykhta, “Approximate solution to the resource consumption minimization problem. II. Estimates for the proximity of controls”, J. Appl. Industr. Math., 6:2 (2012), 135–144  mathnet  crossref  mathscinet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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    Full-text PDF :172
    References:87
    First page:11
     
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