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- Publisher
- Springer Journals
- Copyright
- Copyright © Pleiades Publishing, Ltd. 2020
- ISSN
- 0012-2661
- eISSN
- 1608-3083
- DOI
- 10.1134/S00122661200110063
- Publisher site
- See Article on Publisher Site
Abstract
We consider the problem of reconstructing distributed inputs (disturbances) in linearparabolic equations. An algorithm for solving this problem is given. An upper bound for theconvergence rate is established for the case in which the input is a function of bounded variation.The algorithm combines the optimal preset and positional control methods and permitsreconstruction based on inaccurate measurements of solutions of the equations at discrete timeinstants.
Journal
Differential Equations – Springer Journals
Published: Dec 9, 2020