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IMA Journal of Mathematical Control and Information Advance Access originally published online on September 29, 2006
IMA Journal of Mathematical Control and Information 2007 24(3):357-369; 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.

Time optimal control of retarded parabolic systems

Anna Krakowiak{dagger}

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

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

Received on June 15, 2005; Accepted on July 12, 2006

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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