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A Variational Technique for Optimal Boundary Control in A Hyperbolic Problem    
Yazarlar (3)
Murat Subasi
Yesim Sarac
Prof. Dr. Ahmet KAÇAR Prof. Dr. Ahmet KAÇAR
Kastamonu Üniversitesi
Devamını Göster
Özet
We investigate the problem of controlling the boundary functions in a one dimensional hyperbolic problem by minimizing the functional including the final state. After proving the existence and uniqueness of the solution to the given optimal control problem, we get the Frechet differential of the functional and give the necessary condition to the optimal solution in the form of the variational inequality via the solution of the adjoint problem. We constitute a minimizing sequence by the method of projection of the gradient and prove its convergence to the optimal solution.
Anahtar Kelimeler
Variational methods | Optimal boundary control | Hyperbolic problem
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale
Dergi Adı APPLIED MATHEMATICS AND COMPUTATION
Dergi ISSN 0096-3003 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI
Makale Dili İngilizce
Basım Tarihi 02-2012
Cilt No 218
Sayı 12
Sayfalar 6629 / 6636
Doi Numarası 10.1016/j.amc.2011.12.053