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On the existence of optimal controls for nonlinear infinite dimensional systems
Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 291-312 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 34G20, 34H05, 47N20, 49J25, 49J27
Keywords: evolution triple; optimal control; monotone operator; hemicontinuous operator; parabolic system; property $(Q)$ 
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     title = {On the existence of optimal controls for nonlinear infinite dimensional systems},
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Fiacca, Antonella; Papageorgiou, Nikolaos S.; Papalini, Francesca. On the existence of optimal controls for nonlinear infinite dimensional systems. Czechoslovak Mathematical Journal, Tome 48 (1998) no. 2, pp. 291-312. http://geodesic.mathdoc.fr/item/CMJ_1998_48_2_a6/

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