On Optimal Control of the Initial Status in a Hyperbolic System

Yıl 2018, , 94 - 98, 30.11.2018

Seda İğret Araz

https://doi.org/10.17714/gumusfenbil.439669

Öz

In this
study, optimal control problem governed by a hyperbolic problem with Dirichlet
conditions is considered. It is demonstrated that the optimal solution for the
considered optimal control problem is exist and unique and it is obtained
adjoint problem. Derivative of the cost
functional is calculated utilizing from adjoint problem. Finally, necessary
optimality conditions for hyperbolic system are derived.

Anahtar Kelimeler

Optimal Control, Hyperbolic Equations, Frechet Derivative

Hiperbolik Bir Sistemde Başlangıç Konumunun Optimal Kontrolü Üzerine

Öz

Bu makalede Dirichlet
koşuluna sahip hiperbolik system ile yönetilen optimal kontrol problem göz
önüne alınır. Optimal çözümün var ve tek olduğu kanıtlanır ve eşlenik problem
elde edilir. Eşlenik problemden yararlanılarak amaç fonksiyonunun gradyeni
hesaplanır. Hiperbolik sistem için gerekli optimallik şartları türetilir.

Anahtar Kelimeler

Optimal Kontrol, Hiperbolik Denklemler, Frechet Türev

Kaynakça

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