A convergence result for a sequence of distributed-parameter optimal control problems |
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Authors: | N S Papageorgiou |
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Institution: | (1) Department of Mathematics, National Technical University, Athens, Greece |
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Abstract: | In this paper, we consider a sequence of abstract optimal control problems by allowing the cost integrand, the partial differential operator, and the control constraint set all to vary simultaneously. Using the notions of -convergence of functions,G-convergence of operators, and Kuratowski-Mosco convergence of sets, we show that the values of the approximating problems converge to that of the limit problem. Also we show that a convergent sequence of optimal pairs for the approximating problems has a limit which is optimal for the limit problem. A concrete example of parabolic optimal control problems is worked out in detail.This research was supported by NSF Grant No. DMS-88-02688. |
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Keywords: | -convergence" target="_blank">gif" alt="tau" align="BASELINE" BORDER="0">-convergence G-convergence Gelfand triple strongly monotone operator parabolic systems PG-convergence |
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