International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2017
Volume 27 - 2017

On an algorithm for the problem of tracking a trajectory of a parabolic equation

Marina Blizorukova, Vyacheslav Maksimov

Abstract
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.

Keywords
parabolic equation, tracking problem, unknown disturbance

DOI
10.1515/amcs-2017-0031