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IMA Journal of Mathematical Control and Information Advance Access published online on September 29, 2006
IMA Journal of Mathematical Control and Information, doi:10.1093/imamci/dnl027
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© The author 2006. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.
Received June 15, 2005
Accepted July 12, 2006

Article

Time optimal control of retarded parabolic systems

Anna Krakowiak 1 *

1 Institute of Mathematics, Technical University of Cracow, ul. Warszawska 24, 31-155 Cracow, Poland

* To whom correspondence should be addressed.
Anna Krakowiak, E-mail: skrakowi{at}usk.pk.edu.pl


  Abstract

In this paper, the time-optimal control problem for parabolic systems in which time lags appear in the integral form both in the state equation and in the Neumann boundary condition is presented. The particular properties of the optimal control are discussed.

Keywords: time-optimal problem; retarded parabolic systems; Neumann boundary conditions.
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