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Preprint 743-2002

On convergence of an instantaneous control type method for parabolic boundary control.

Source file is available as :   Postscript Document

Author(s) : Fredi Tröltzsch , Daniel Wachsmuth

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 743-2002

MSC 2000

49M30 Other methods, not based on necessary conditions
49K20 Problems involving partial differential equations

Abstract :
A method of instantaneous control type is considered for a simplified linear-quadratic parabolic boundary control problem with bound constraints on the control. The performance of the method is examined numerically and confirmed by an associated analysis. In particular, the method is shown to converge to a unique fixed point. In the same way, the receding horizon technique is investigated, and a new hybrid method is suggested.

Keywords : Optimal boundary control, parabolic equation, control constraints,instantaneous control, receding horizon

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