Displaying similar documents to “Minimax control of nonlinear evolution equations.”

Minimax control of nonlinear evolution equations

Nikolaos S. Papageorgiou (1995)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we study the minimax control of systems governed by a nonlinear evolution inclusion of the subdifferential type. Using some continuity and lower semicontinuity results for the solution map and the cost functional respectively, we are able to establish the existence of an optimal control. The abstract results are then applied to obstacle problems, semilinear systems with weakly varying coefficients (e.gȯscillating coefficients) and differential variational inequalities. ...

Evolution inclusions of the subdifferential type depending on a parameter

Dimitrios A. Kandilakis, Nikolaos S. Papageorgiou (1992)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we study evolution inclusions generated by time dependent convex subdifferentials, with the orientor field F depending on a parameter. Under reasonable hypotheses on the data, we show that the solution set S ( λ ) is both Vietoris and Hausdorff metric continuous in λ Λ . Using these results, we study the variational stability of a class of nonlinear parabolic optimal control problems.

On the existence of optimal controls for nonlinear infinite dimensional systems

Antonella Fiacca, Nikolaos S. Papageorgiou, Francesca Papalini (1998)

Czechoslovak Mathematical Journal

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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.