Heating control of a finite rod with a mobile source

Autor: Samvel H. Jilavyan, Edmon R. Grigoryan, Asatur Zh. Khurshudyan
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Archives of Control Sciences, Vol vol. 31, Iss No 2, Pp 417-430 (2021)
Druh dokumentu: article
ISSN: 1230-2384
DOI: 10.24425/acs.2021.137425
Popis: The Green’s function approach is applied for studying the exact and approximate nullcontrollability of a finite rod in finite time by means of a source moving along the rod with controllable trajectory. The intensity of the source remains constant. Applying the recently developed Green’s function approach, the analysis of the exact null-controllability is reduced to an infinite system of nonlinear constraints with respect to the control function. A sufficient condition for the approximate null-controllability of the rod is obtained. Since the exact solution of the system of constraints is a long-standing open problem, some heuristic solutions are used instead. The efficiency of these solutions is shown on particular cases of approximate controllability.
Databáze: Directory of Open Access Journals