Geodesic
Optimal control of nonlinear evolution equations
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 21 (2001) no. 1, pp. 5-50.

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In this paper, first we consider parametric control systems driven by nonlinear evolution equations defined on an evolution triple of spaces. The parametres are time-varying probability measures (Young measures) defined on a compact metric space. The appropriate optimization problem is a minimax control problem, in which the system analyst minimizes the maximum cost (risk). Under general hypotheses on the data we establish the existence of optimal controls.
Keywords: evolution triple, compact embedding, monotone operator, pseudomonotone operator, L-generalized pseudomonotonicity, integration by parts, evolution inclusion, saddle point, necessary conditions, adjoint equation, distributed parameter systems 
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Papageorgiou, Nikolaos; Yannakakis, Nikolaos. Optimal control of nonlinear evolution equations. Discussiones Mathematicae. Differential Inclusions, Control and Optimization, Tome 21 (2001) no. 1, pp. 5-50. http://geodesic.mathdoc.fr/item/DMDICO_2001_21_1_a0/

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