On the compactness of the set of L-2 trajectories of the control system
NONLINEAR ANALYSIS-MODELLING AND CONTROL, cilt.23, sa.3, ss.423-436, 2018 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 23 Sayı: 3
- Basım Tarihi: 2018
- Doi Numarası: 10.15388/na.2018.3.8
- Dergi Adı: NONLINEAR ANALYSIS-MODELLING AND CONTROL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.423-436
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Sivas Cumhuriyet Üniversitesi Adresli: Evet
Özet
In this paper, the compactness of the set of L-2 trajectories of the control system described by the Urysohn-type integral equation is studied. The control functions are chosen from the closed ball of the space L-2 with radius r and centered at the origin. Existence of an optimal trajectory of the optimal control problem with lower semicontinuous payoff functional is discussed.