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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 5, Pages 848–859 (Mi zvmmf4875)  
This article is cited in 4 scientific papers (total in 4 papers)

Improvement of extreme controls and the steepest ascent method in the norm maximization problem on the reachable set

V. A. Srochko, S. N. Ushakova

Irkutsk State University, ul. K. Marksa 1, Irkutsk, 664003 Russia
Full-text PDF (231 kB) Citations (4)
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Abstract: The maximization of the terminal state norm of a linear system is considered in the sense of searching for and improving extreme points of the reachable set. A sufficient optimality condition is formulated in terms of a special maximum function. A steepest ascent method for level surfaces of the objective function is constructed, and related procedures for improving extreme controls are described.
Key words: reachable set of a linear control system, norm maximization problem, improvement of extreme controls.
Received: 02.03.2009
Revised: 14.12.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 5, Pages 805–815
DOI: https://doi.org/10.1134/S0965542510050064
Bibliographic databases:
Document Type: Article
UDC: 519.626.1
Language: Russian
Citation: V. A. Srochko, S. N. Ushakova, “Improvement of extreme controls and the steepest ascent method in the norm maximization problem on the reachable set”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010), 848–859; Comput. Math. Math. Phys., 50:5 (2010), 805–815
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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