Title: Heating control of a finite rod with a mobile source.
Authors: JILAVYAN, Samvel H.; GRIGORYAN, Edmon R.; KHURSHUDYAN, Asatur Zh.
Abstract: 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.
Subjects: HEATING control; CONTROL elements (Nuclear reactors); CONTROLLABILITY in systems engineering; GREEN'S functions; TRAJECTORY optimization
Publication: Archives of Control Sciences, 2021, Vol 31, Issue 2, p417
ISSN: 1230-2384
Publication type: Academic Journal
DOI: 10.24425/acs.2021.137425

Heating control of a finite rod with a mobile source.

JILAVYAN, Samvel H.; GRIGORYAN, Edmon R.; KHURSHUDYAN, Asatur Zh.