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Keywords:
evolution triple; optimal control; monotone operator; hemicontinuous operator; parabolic system; property $(Q)$
evolution triple; optimal control; monotone operator; hemicontinuous operator; parabolic system; property $(Q)$
Summary:
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.
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