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Preprint 46-2003

On instantaneous control for a nonlinear parabolic boundary control problem

Source file is available as :   Postscript Document

Author(s) : Daniel Wachsmuth

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 46-2003

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 nonlinear parabolic boundary control problem with box constraints on the control. It is shown that the method exhibits fixed points. In numerical examples, convergence towards a fixed point occurs, which is not the best possible one. Consequently, a new hybrid method is suggested, which behaves essentially better as the standard method.

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

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