Antonella Fiacca, Department of Mathematics of Perugia University, Via Vanvitelli 1, Perugia, 06123, Italy; Nikolaos S. Papageorgiou, National Technical University, Department of Mathematics, Zografou Campus, Athens 15780, Greece; Francesca Papalini, Department of Mathematics of Perugia University, Via Vanvitelli 1, Perugia, 06123, Italy
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 $(Q)$
Classification (MSC 1991): 34G20
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