Abstract:
For the problem of optimal control of the coefficients of the linear hyperbolic equation, consideration was given to the issues of correct formulation, and the necessary optimality condition was established.
Presented by the member of Editorial Board:V. I. Gurman
Citation:
R. K. Tagiyev, “On optimal control of the hyperbolic equation coefficients”, Avtomat. i Telemekh., 2012, no. 7, 40–54; Autom. Remote Control, 73:7 (2012), 1145–1155
\Bibitem{Tag12}
\by R.~K.~Tagiyev
\paper On optimal control of the hyperbolic equation coefficients
\jour Avtomat. i Telemekh.
\yr 2012
\issue 7
\pages 40--54
\mathnet{http://mi.mathnet.ru/at4037}
\transl
\jour Autom. Remote Control
\yr 2012
\vol 73
\issue 7
\pages 1145--1155
\crossref{https://doi.org/10.1134/S0005117912070041}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000306332500004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84864550811}
Linking options:
https://www.mathnet.ru/eng/at4037
https://www.mathnet.ru/eng/at/y2012/i7/p40
This publication is cited in the following 8 articles:
Jacob Körner, Alfio Borzì, “Second-order analysis of Fokker–Planck ensemble optimal control problems”, ESAIM: COCV, 28 (2022), 77
Subasi M., Sendur F.D., Yasar C., “An Inverse Source Identification By Nonlinear Optimization in a Two-Dimensional Hyperbolic Problem”, Inverse Probl. Sci. Eng., 29:12 (2021), 2110–2130
Seda İğret Araz, “Hiperbolik Denklem İçeren Bir Optimal Kontrol Probleminin Nümerik Çözümü Üzerine”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 9:3 (2020), 1091
Subasi M., Araz S.I., “Numerical Regularization of Optimal Control For the Coefficient Function in a Wave Equation”, Iran. J. Sci. Technol. Trans. A-Sci., 43:A5 (2019), 2325–2333
Seda İğret Araz, “Hiperbolik Bir Sistemde Başlangıç Konumunun Optimal Kontrolü Üzerine”, Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019
G. F. Kuliev, V. N. Nasibzade, “Privedenie obratnoi zadachi akustiki k zadache optimalnogo upravleniya i ee issledovanie”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2018, no. 54, 5–16
Araz S.I., Subasi M., “On the Control of Coefficient Function in a Hyperbolic Problem With Dirichlet Conditions”, Int. J. Differ. Equat., 2018, 7417590
Kocak Yu., Dokuyucu M.A., “On a Necessary Condition For Optimal Control of Hyperbolic Equation”, International Conference on Advances in Natural and Applied Sciences: Icanas 2016, AIP Conference Proceedings, 1726, eds. Aslan I., Bayrak Y., Akdemir A., Ekinci A., Polat K., Dadasoglu F., Turkoglu E., Amer Inst Physics, 2016, 020085