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IMA Journal of Mathematical Control and Information Advance Access originally published online on November 10, 2005
IMA Journal of Mathematical Control and Information 2006 23(2):181-191; doi:10.1093/imamci/dni052
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© The author 2005. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Minimum-time problem of a retarded parabolic system with the Neumann boundary condition

Anna Krakowiak**

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

** Email: skrakowi{at}usk.pk.edu.pl

In this paper, the minimum-time problem for parabolic systems in which retarded arguments appear in the integral form in the state equation is presented. The particular properties of the optimal control are proved.

Keywords: minimum-time problem; retarded parabolic system; Neumann boundary condition.

Received on 25 May 2004.


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