Hiperbolik Denklem İçeren Bir Optimal Kontrol Probleminin Nümerik Çözümü Üzerine

Year 2020, Volume: 9 Issue: 3, 1091 - 1101, 26.09.2020

Seda İğret Araz

https://doi.org/10.17798/bitlisfen.665651

Abstract

Bu makalede, hiperbolik denklem içeren optimal kontrol problemlerinin bir sınıfını çözmek için bir nümerik algoritma sunuyoruz. Bir regüler uzayda optimal çözümün var ve tek olduğunu gösteriyoruz. Eşlenik problemi elde ettikten ve amaç fonksiyonelinin türevini hesapladıktan sonra, Gradyen metoduyla nümerik yaklaşımlar elde edilir. Hesaplanan sonuçlar, önerilen metodun optimal kontrol problemleri için iyi nümerik yaklaşımlar üretebildiğini gösterir.

Keywords

Optimal Kontrol, Hiperbolik denklemler

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