Hiperbolik Denklem İçeren Bir Optimal Kontrol Probleminin Nümerik Çözümü Üzerine

Bu makalede, hiperbolik denklem içeren optimal kontrol problemlerinin bir sınıfını çözmek için bir nümerikalgoritma sunulmaktadır. Bir regüler uzayda optimal çözümün var ve tek olduğu gösterilmektedir. Eşlenikproblemi elde ettikten ve amaç fonksiyonelinin türevini hesapladıktan sonra, Gradyen metoduyla nümerikyaklaşımlar elde edilmektedir. Hesaplanan sonuçlar, önerilen metodun optimal kontrol problemleri için iyinümerik yaklaşımlar üretebildiğini göstermektedir.

On Numerical Solution of an Optimal Control Problem Including Hyperbolic Equation

In this study, a numerical algorithm for solving a class of optimal control problems with hyperbolic equation is offered. It has been showed that the optimal solution is exist and unique in a regular space. After obtaining adjoint problem and calculating derivative of the cost functional, numerical approximations are obtained via Gradient Method. Computational results show that the considered method is able to generate good numerical approximations for optimal control problems.

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