Scientific articles

On dynamic reconstruction of a disturbances in distributed parameter systems

M. S. Blizorukova, V. I. Maksimov

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Abstract: The problem of dynamic reconstruction of disturbances acting on a nonlinear system composed of two coupled parabolic-type equations is under consideration. Assuming that a solution of the system is measured (with errors) at discrete times, an algorithm for solving the problem is proposed. The algorithm, based on the principles of feedback control theory, is shown to be robust with respect to informational noises and computational inaccuracies. An estimate of the convergence rate of the algorithm is provided.

Keywords: distributed parameter system, dynamic disturbance reconstruction

UDC: 517.977.56

MSC: 33R30, 35Q93, 93B30

Received: 19.05.2025
Accepted: 06.06.2025

DOI: 10.20310/2686-9667-2025-30-150-97-109