A. D. Iskenderov, R. A. Gamidov, “Optimization problems with gradient of control's in the coefficients of elliptic equations”, Avtomat. i Telemekh., 2020, Issue 9,Pages <nobr>81

This article is cited in 4 papers

Nonlinear Systems

Optimization problems with gradient of control's in the coefficients of elliptic equations

A. D. Iskenderov^a, R. A. Gamidov^b

^a National Aviation Academy, Baku, Azerbaijan
^b Lankaran State University, Lankaran, Azerbaijan

Abstract: Linear elliptic equations with the coefficients depending on the control function and its gradient are considered, and an optimal control problem for such equations is studied. The existence and uniqueness of the solution of this problem are proved. The results are applied to the optimal control of the boundary of a given domain.

Keywords: optimal control, elliptic equations, existence and uniqueness of solution, well-posed-ness, control of boundary of domain.

Presented by the member of Editorial Board: M. M. Khrustalev

Received: 03.11.2018
Revised: 08.12.2019
Accepted: 30.01.2020

DOI: 10.31857/S0005231020090032