KUAZİ OPTİĞİN DURGUN OLMAYAN DENKLEMİ İÇİN BİR OPTİMAL KONTROL PROBLEMİ

Year 2014, Volume: 1 Issue: 1, 73 - 80, 31.12.2014

Gabil Yagub Nigar Yıldırım Aksoy , Eray Aksoy

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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