On the compactness of the set of L-2 trajectories of the control system

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HÜSEYİN N. , HÜSEYİN A.

NONLINEAR ANALYSIS-MODELLING AND CONTROL, cilt.23, ss.423-436, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 23 Konu: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.15388/na.2018.3.8
  • Dergi Adı: NONLINEAR ANALYSIS-MODELLING AND CONTROL
  • Sayfa Sayıları: ss.423-436

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.