Optimal control,sensitivity analysis and relaxation of maximal monotone integrodifferential inclusions inR
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| Authors: | N S Papageorgiou |
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| Institution: | (1) Department of Mathematical Sciences, National Technical University, 157 73 Athens, Greece;(2) Department of Mathematics, Florida Institute of Technology, 150 West University Blvd, 32901-6988 Melbourne, Florida, USA;(3) Present address: Department of Applied Mathematics, Florida Institute of Technology, 150 West University Blvd, 32901-6988 Melbourne, Florida, U.S.A. |
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| Abstract: | In this paper we examine optimal control problems governed by maximal monotone integrodifferential inclusions inR
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. First we establish the existence of an optimal control. Then we show that the value of the problem depends continuously on a parameter appearing in all the data. Then we introduce the relaxed system, we show that under very general hypotheses it has a solution and that its value equals that of the original problem. Subsequently we show that relaxability and performance stability are equivalent concepts. Finally we specialize our results to the class of controlled differential variational inequalities.Research supported by NSF Grant DMS-8802688 |
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| Keywords: | Primary 49A20 |
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