On an algorithm for the problem of tracking a trajectory of a parabolic equation
and | Sep 23, 2017
International Journal of Applied Mathematics and Computer Science
Systems Analysis: Modeling and Control (special section, pp. 457-499), Vyacheslav Maksimov and Boris Mordukhovich (Eds.)
About this article
Published Online: Sep 23, 2017
Page range: 457 - 465
Received: Nov 30, 2016
Accepted: May 04, 2017
DOI: https://doi.org/10.1515/amcs-2017-0031
Keywords
© 2017 Marina Blizorukova et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
In this paper, we consider the problem of tracking a solution of a reference parabolic equation by a solution of another equation. A stable algorithm based on the extremal shift method is proposed for this problem. The algorithm is designed to work on a sufficiently large time interval where both equations operate.