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Asymptotic Analysis of State Constrained Semilinear Optimal Control Problems
Authors:P I Kogut  G Leugering
Institution:1. Faculty of Mathematics and Mechanics, Dniepropetrovsk National University, Dniepropetrovsk, Ukraine
2. Institüt für Angewandte Mathematik Lehrstuhl II, Universit?t Erlangen-Nürnberg, Martensstr. 3, 91058, Erlangen, Germany
Abstract:The asymptotic behavior of state-constrained semilinear optimal control problems for distributed-parameter systems with variable compact control zones is investigated. We derive conditions under which the limiting problems can be made explicit. We gratefully acknowledge the support of the DAAD. The paper was prepared during the visit of the first author at the Institute of Applied Mathematics II, University Erlangen-Nuremberg in 2003.
Keywords:Homogenization  Optimal control  State constraints  Penalized problems
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