TY  - JOUR
T1  - On Optimal Control of the Initial Status in a Hyperbolic System
TT  - Hiperbolik Bir Sistemde Başlangıç Konumunun Optimal Kontrolü Üzerine
AU  - İğret Araz, Seda
PY  - 2018
DA  - November
Y2  - 2018
DO  - 10.17714/gumusfenbil.439669
JF  - Gümüşhane Üniversitesi Fen Bilimleri Dergisi
PB  - Gumushane University
WT  - DergiPark
SN  - 2146-538X
SP  - 94
EP  - 98
LA  - en
AB  - In thisstudy, optimal control problem governed by a hyperbolic problem with Dirichletconditions is considered. It is demonstrated that the optimal solution for theconsidered optimal control problem is exist and unique and it is obtainedadjoint problem. Derivative of the costfunctional is calculated utilizing from adjoint problem. Finally, necessaryoptimality conditions for hyperbolic system are derived.
KW  - Optimal Control
KW  - Hyperbolic Equations
KW  - Frechet Derivative
N2  - Bu makalede Dirichletkoşuluna sahip hiperbolik system ile yönetilen optimal kontrol problem gözönüne alınır. Optimal çözümün var ve tek olduğu kanıtlanır ve eşlenik problemelde edilir. Eşlenik problemden yararlanılarak amaç fonksiyonunun gradyenihesaplanır. Hiperbolik sistem için gerekli optimallik şartları türetilir.
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UR  - https://doi.org/10.17714/gumusfenbil.439669
L1  - https://dergipark.org.tr/en/download/article-file/585636
ER  -