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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 5, Pages 791–804 (Mi zvmmf4685)  
This article is cited in 9 scientific papers (total in 9 papers)

Method for nonlocal improvement of extreme controls in the maximization of the terminal state norm

V. G. Antonik, V. A. Srochko

Irkutsk State University, ul. K. Marksa 1, Irkutsk, 664003, Russia
Full-text PDF (1619 kB) Citations (9)
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Abstract: A numerical approach is applied to the maximization of a positive definite quadratic form on the set of terminal states of a linear system with interval constraints on the control. An optimality criterion is used to develop a method for nonlocal improvement of controls satisfying the maximum principle (extreme points of the reachable set). The iterative procedure of the method is proved to converge. Numerical results are presented.
Key words: computational methods, optimal control, norm maximization problem, improvement of extreme processes.
Received: 15.09.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 5, Pages 762–775
DOI: https://doi.org/10.1134/S0965542509050030
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: V. G. Antonik, V. A. Srochko, “Method for nonlocal improvement of extreme controls in the maximization of the terminal state norm”, Zh. Vychisl. Mat. Mat. Fiz., 49:5 (2009), 791–804; Comput. Math. Math. Phys., 49:5 (2009), 762–775
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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