Geodesic
Optimal control problem of some differential inclusion and approximation
Problemy analiza, no. 9 (2002), pp. 14-22.

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In this paper we present the optimal control problem governed by a variational inclusion with the monotone operator and a quadratic costfunctional. We apply standart Galerkin method to the approximation of the problem. After giving some results on the existance of optimal control we shall prove the existance of weak condensation points of a set of solution of approximate problems. Each of these points is a solution of the initial optimization problem. Finally we shall give a simple example using the obtaned results. 
@article{PA_2002_9_a1,
     author = {A. D\c{e}bi\'nska-Nag\'orska and A. Just and Z. Stempie\'n and K. Wo\'znica},
     title = {Optimal control problem of some differential inclusion and approximation},
     journal = {Problemy analiza},
     pages = {14--22},
     publisher = {mathdoc},
     number = {9},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2002_9_a1/}
}
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A. Dȩbińska-Nagórska; A. Just; Z. Stempień; K. Woźnica. Optimal control problem of some differential inclusion and approximation. Problemy analiza, no. 9 (2002), pp. 14-22. http://geodesic.mathdoc.fr/item/PA_2002_9_a1/