Korbicz, Józef - red. ; Uciński, Dariusz - red.
On one algorithm for solving the problem of source function reconstruction
Group publication title:
Subject and Keywords:
reconstruction ; source function ; feedback control
In the paper, the problem of source function reconstruction in a differential equation of the parabolic type is investigated.Using the semigroup representation of trajectories of dynamical systems, we build a finite-step iterative procedure forsolving this problem. The algorithm originates from the theory of closed-loop control (the method of extremal shift). Atevery step of the algorithm, the sum of a quality criterion and a linear penalty term is minimized. This procedure is robustto perturbations in problems data.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, Volume 20, Number 2 (2010) ; click here to follow the link