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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 5, Pages 783–800
DOI: https://doi.org/10.7868/S0044466917050015 (Mi zvmmf10570) 		 
This article is cited in 14 scientific papers (total in 14 papers)

Dynamics and variational inequalities

A. S. Antipina, V. Jaćimovićb, M. Jaćimovićb

a Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”, Russian Academy of Sciences, Moscow, Russia
b Faculty of Mathematics and Natural Sciences, University of Montenegro, Podgorica, Montenegro
Full-text PDF (189 kB) Citations (14)
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DOI: https://doi.org/10.7868/S0044466917050015
Abstract: A terminal control problem with linear dynamics and a boundary condition given implicitly in the form of a solution of a variational inequality is considered. In the general control theory, this problem belongs to the class of stabilization problems. A saddle-point method of the extragradient type is proposed for its solution. The method is proved to converge with respect to all components of the solution, i.e., with respect to controls, phase and adjoint trajectories, and the finite-dimensional variables of the terminal problem.
Key words: linear dynamics, control, boundary value problem, variational inequality, saddle-point method, convergence.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-06045_а
Ministry of Education and Science of the Russian Federation НШ-8860-2016.1
Received: 01.05.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 5, Pages 784–801
DOI: https://doi.org/10.1134/S0965542517050013
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: A. S. Antipin, V. Jaćimović, M. Jaćimović, “Dynamics and variational inequalities”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017), 783–800; Comput. Math. Math. Phys., 57:5 (2017), 784–801
Citation in format AMSBIB
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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