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IMA Journal of Mathematical Control and Information 2001 18(3):381-393; doi:10.1093/imamci/18.3.381
© 2001 by Institute of Mathematics and its Applications
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Boundary control of retarded parabolic systems with the non-homogeneous Dirichlet boundary conditions

Adam Kowalewski1 and Anna Krakowiak2

1 Institute of Automatics, University of Mining and Metallurgy, Al. Mickiewicza 30, 30-059 Cracow, Poland. Email: ako@ia.agh.edu.pl 2 Institute of Mathematics, Technical University of Cracow, ul. Warszawska 24, 31-155 Cracow, Poland. Email: skrakowi@riad.usk.pk.edu.pl

The optimal boundary control problems for distributed parabolic systems in which retarded arguments appear in the integral form in the state equations are presented. Necessary and sufficient conditions of optimality are derived for the non-homogeneous Dirichlet problem. A simple example of application is also provided.


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