Email this article Dynamic Reconstruction of Unknown Boundary Disturbances in a Parabolic Equation
- Authors: Maksimov V.I.1,2
-
Affiliations:
- Institute of Mathematics and Mechanics, Ural Branch
- Ural Federal University
- Issue: Vol 55, No 11 (2019)
- Pages: 1466-1474
- Section: Control Theory
- URL: https://journal-vniispk.ru/0012-2661/article/view/155255
- DOI: https://doi.org/10.1134/S00122661190110065
- ID: 155255
Cite item
Open Access
Access granted
Subscription Access
Abstract
We consider the problem of dynamic reconstruction of unknown boundary disturbances in a parabolic equation. The disturbances are assumed to occur in the Neumann boundary condition. Based on the Osipov-Kryazhimskii dynamic regularization method, the problem is reduced to that of constructing a feedback control law for some auxiliary differential equation. We indicate an information-noise- and roundoff-error-robust algorithm for solving this problem.
About the authors
V. I. Maksimov
Institute of Mathematics and Mechanics, Ural Branch; Ural Federal University
Author for correspondence.
Email: maksimov@imm.uran.ru
Russian Federation, Yekaterinburg, 620108; Yekaterinburg, 620002
Supplementary files
