- Caucasian Journal of Science
- Vol: 1 Issue: 1
- KUAZİ OPTİĞİN DURGUN OLMAYAN DENKLEMİ İÇİN BİR OPTİMAL KONTROL PROBLEMİ
KUAZİ OPTİĞİN DURGUN OLMAYAN DENKLEMİ İÇİN BİR OPTİMAL KONTROL PROBLEMİ
Authors : Gabil Yagub, Nigar Yildirim Aksoy, Eray Aksoy
Pages : 73-80
View : 15 | Download : 3
Publication Date : 2014-12-31
Article Type : Research
Abstract :In this paper, an optimal control problem for nonstationary quasi-optics equation that show the scattering of the light beam inhomogeneous mediums is considered. In this problem, controls are a refraction and absortion indicators of the scattered medium of the light beam. As a cost fuctional is used the Lions functional that is based on Dirichlet- Neumann operator. For the considered optimal control problem, the existence and uniqueness theorems are obtained. Frechet-differentiability of the cost functional is shown and its gradient is obtained. Finally, a necessary optimality condition in variational inequality form for the optimal control problem is given.Keywords : Kuazi optiğin durgun olmayan denklemi, kompleks değerli kontrol, optimal kontrol problemi