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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 8, Pages 1381–1392 (Mi zvmmf4918)  
This article is cited in 7 scientific papers (total in 7 papers)

Steplike contrast structure in an elementary optimal control problem

Ni Min' Kan'a, M. G. Dmitrievb

a East China Normal University, Shanghai, 200062, People's Republic of China
b Russian State Social University, ul. V. Pika 4, Moskow, 129226 Russia
Full-text PDF (228 kB) Citations (7)
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Abstract: For an elementary nonlinear optimal control problem with a scalar differential constraint and with a small parameter multiplying the derivative but without any constraints on the control, the possibility of emerging fast internal phase transitions in the optimal trajectory is shown as based on results concerning contrast structures in the theory of singularly perturbed boundary value problems.
Key words: optimal control, nonlinear functional, singular perturbations, phase transition, asymptotic approximations.
Received: 30.11.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 8, Pages 1312–1323
DOI: https://doi.org/10.1134/S096554251008004X
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: Ni Min' Kan', M. G. Dmitriev, “Steplike contrast structure in an elementary optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 50:8 (2010), 1381–1392; Comput. Math. Math. Phys., 50:8 (2010), 1312–1323
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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