On the Chernous'ko Time-Optimal Problem for the Equation of Heat Conductivity in a Rod
| Autor: | Jasurbek A. Bakhramov, Odiljon S. Akhmedov, Abdulla Azamov |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
HEAT EQUATION
Heat equation Time-optimal problem Pontryagin maximum principle Suboptimal control Synthesis of control Thermal conductivity Materials science PONTRYAGIN MAXIMUM PRINCIPLE SUBOPTIMAL CONTROL lcsh:Mathematics General Mathematics TIME-OPTIMAL PROBLEM Mechanics lcsh:QA1-939 Time optimal SYNTHESIS OF CONTROL |
| Zdroj: | Ural Mathematical Journal, Vol 5, Iss 1 (2019) |
| ISSN: | 2414-3952 |
| DOI: | 10.15826/umj.2019.1.002 |
| Popis: | 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. This work was supported by a grant from the Ministry of Innovative Development of the Republic of Uzbekistan (Project No. OT- 4-84). |
| Databáze: | OpenAIRE |
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