KUAZİ OPTİĞİN DURGUN OLMAYAN DENKLEMİ İÇİN BİR OPTİMAL KONTROL PROBLEMİ

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Caucasian Journal of Science
Volume: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 : 52 | Download : 19

Publication Date : 2014-12-31

Article Type : Research Paper

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

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