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