On the Chernous'ko Time-Optimal Problem for the Equation of Heat Conductivity in a Rod

The time-optimal problem for the controllable equation of heat conductivity in a rod is considered. By means of the Fourier expansion, the problem reduced to a countable system of one-dimensional control systems with a combined constraint joining control parameters in one relation. In order to impro...

Full description

Saved in:
Bibliographic Details
Published in:Ural mathematical journal 2019, Vol.5 (1), p.13-23
Main Authors: Azamov, Abdulla A., Bakhramov, Jasurbek A., Akhmedov, Odiljon S.
Format: Article
Language:English
Subjects:
Heat equation, Time-optimal problem, Pontryagin maximum principle, Suboptimal control, Synthesis of control
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The time-optimal problem for the controllable equation of heat conductivity in a rod is considered. By means of the Fourier expansion, the problem reduced to a countable system of one-dimensional control systems with a combined constraint joining control parameters in one relation. In order to improve the time of a suboptimal control constructed by F.L. Chernous'ko, a method of  grouping coupled terms of the Fourier expansion of a control function is applied, and a synthesis of the improved suboptimal control is obtained in an explicit form.
ISSN:2414-3952
2414-3952
DOI:10.15826/umj.2019.1.002