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On parabolic distributed optimal control problems with restrictions on the gradient

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Abstract

Convex optimal control problems for parabolic distributed parameter systems with an integral constraint for the gradient of the state are considered. The objective function is a general convex integral functional in which the control constraints are incorporated. Necessary and sufficient conditions for optimality are derived.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Bayreuth, Postfach 3008, D-8580, Bayreuth, West Germany

    Uwe Mackenroth

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  1. Uwe Mackenroth
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Communicated by A. V. Balakrishnan

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Mackenroth, U. On parabolic distributed optimal control problems with restrictions on the gradient. Appl Math Optim 10, 69–95 (1983). https://doi.org/10.1007/BF01448380

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  • DOI: https://doi.org/10.1007/BF01448380

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