RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2022 Volume 62, Number 5, Pages 768–776 (Mi zvmmf11395)

This article is cited in 1 paper

Optimal control

Reconstruction of input disturbances in parabolic inclusions unsolved for the derivative

V. I. Maksimov

Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, 620990, Yekaterinburg, Russia

Abstract: The problem of reconstructing a distributed input disturbance in a parabolic inclusion unsolved for the derivative is considered. A solution algorithm that is robust to information noises and computational errors is proposed. The algorithm combines methods of the theory of ill-posed problems and methods of feedback control theory. It reconstructs the unknown input disturbance from the solution of the inclusion measured inaccurately at sufficiently frequent discrete times.

Key words: dynamic reconstruction, method of controlled models.

UDC: 517.977

Received: 03.06.2021
Revised: 03.06.2021
Accepted: 03.06.2021

DOI: 10.31857/S0044466922040093


 English version:
Computational Mathematics and Mathematical Physics, 2022, 62:5, 744–752

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026