Existence and uniqueness of the solution to the optimal control problem with integral criterion over the entire domain for a nonlinear Schrödinger equation with a special gradient term

• Autorzy: Salmanov Vuqar
• Języki publikacji: EN

Abstrakty

EN

The paper concerns the optimal control problem with the full-range integral performance criterion for the nonlinear Schrödinger equation with the specific gradient summand and the complex potential when the performance criterion is the full-range integral. In this paper, the existence and uniqueness theorems regarding the solution of the optimal control problem under consideration are proven.

Słowa kluczowe

EN

Schrödinger equation; optimal control problem; first variation of the functional; complex potential

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2020
• Tom: Vol. 49, No. 3
• Strony: 277--290
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Salmanov Vuqar

• Department of Informatics, The Nakhchivan State University Nakhchivan city, University campus, AZ7012 Azerbaijan Republic

Bibliografia

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• Iskenderov, A. and Yagubov, G. (2007) Optimal control of unbounded potential in the multidimensional nonlinear non-stationary Schrödinger equation. Vestnik Lenkoranskogo Gosudarstvennogo Universiteta. Seriya Estestvennykh Nauk. Lenkoran’, 3-56 (in Russian).
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• Iskenderov, A.D., Yagub, G., Zengin, M. (2016) Optimal control problem for nonlinear Schrödinger equation with special gradient terms. Abstracts of the XXVII International Conference: Problems of Decision Making under Uncertainties (PDMU-2016), Tbilisi-Batumi, Georgia, May 23-27, 79-80.
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• Iskenderov, A. D., Yagub, G., Salmanov, V. and Aktsoi, N. Y. (2019) Optimal control problem for the nonlinear Schrödinger equation with special gradient term and complex potential. Nauchnyie Trudy Nakhichevanskogo Gosudarstvennogo Universiteta. Seriya fiziko-matematicheskikh i tekhnicheskikh nauk, 4(101), 32-44 (in Russian).
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• Yagub, G., Ibragimov, N., Musaeva, M. and Zenghin, M. (2017) Variational method of solving the inverse problem of determining quantum potential in the nonlinear non-stationary Schrödinger equation with complex coefficient in the nonlinear part. Vestnik Lenkoranskogo Gosudarstvennogo Universiteta. Estestvennye Nauki, seriya 2. Lenkoran’, 7-39 (in Russian).
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).