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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 4, Pages 605–624
DOI: https://doi.org/10.7868/S0044466917030073 (Mi zvmmf10557) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation

D. A. Ivanov, M. M. Potapov

Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.7868/S0044466917030073
Abstract: For the wave equation, time-optimal control problems with two-sided boundary controls of three basic types are considered in classes of weak generalized solutions. Stable algorithms for computing approximate optimal times and optimal boundary controls are developed by modifying algorithms proposed earlier for the case of strong generalized solutions. The approximate solutions are proved to converge as the parameters of the finite-dimensional approximation are asymptotically refined and the errors in the specified terminal functions are reduced.
Key words: wave equation, boundary control, time-optimal control, inexact data, approximate solution, convergence.
Received: 29.03.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 4, Pages 607–625
DOI: https://doi.org/10.1134/S0965542517030071
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: D. A. Ivanov, M. M. Potapov, “Approximations to time-optimal boundary controls for weak generalized solutions of the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:4 (2017), 605–624; Comput. Math. Math. Phys., 57:4 (2017), 607–625
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    • This publication is cited in the following 1 articles:
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