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Infinite dimensional parametric optimal control problems

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Abstract

In this paper we study parametric optimal control problems monitored by nonlinear evolution equations. The parameter appears in all the data, including the nonlinear operator. First we show that for every value of the parameter, the optimal control problem has a solution. Then we study how these solutions as well as the value of the problem respond to changes in the parameter. Finally, we work out in detail two examples of nonlinear parabolic optimal control systems.

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Authors and Affiliations

  1. Department of Mathematics, Ohio University, 45701, Athens, Ohio, USA

    Sergiu Aizicovici

  2. Department of Mathematics, National Technical University, Zografou Campus, 15773, Athens, Greece

    Nikolaos S. Papageorgiou

  3. Department of Applied Mathematics, Florida Institute of Technology, 150 West University Blvd., 32901-6988, Melbourne, Florida, USA

    Nikolaos S. Papageorgiou

Authors
  1. Sergiu Aizicovici
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  2. Nikolaos S. Papageorgiou
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Revised version.

Partially supported by the National Science Foundation under grant DMS-91-11794.

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Aizicovici, S., Papageorgiou, N.S. Infinite dimensional parametric optimal control problems. Japan J. Indust. Appl. Math. 10, 307 (1993). https://doi.org/10.1007/BF03167579

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  • DOI: https://doi.org/10.1007/BF03167579

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