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On the existence of optimal controls for nonlinear infinite dimensional systems |
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| Authors: | Antonella Fiacca Nikolaos S Papageorgiou Francesca Papalini |
| Institution: | (1) Department of Mathematics of Perugia University, Via Vanvitelli 1, Perugia, 06123, Italy;(2) Department of Mathematics, Zografou Campus, National Technical University, Athens, 15780, Greece |
| Abstract: | We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations. |
| Keywords: | evolution triple optimal control monotone operator hemicontinuous operator parabolic system property (Q) |
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