TY - JOUR
N2 - 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.
L1 - http://journals.pan.pl/Content/120114/PDF/art09.pdf
L2 - http://journals.pan.pl/Content/120114
PY - 2021
IS - No 2
EP - 417-430
KW - null-controllability
KW - mobile control
KW - nonlinear constraints
KW - triangular wave
KW - rectangular wave
KW - Green’s function approach
KW - heuristic control
KW - lack of exact controllability
A1 - Jilavyan, Samvel H.
A1 - Grigoryan, Edmon R.
A1 - Khurshudyan, Asatur Zh.
PB - Committee of Automatic Control and Robotics PAS
VL - vol. 31
T1 - Heating control of a finite rod with a mobile source
DA - 2021.07.01
SP - 417-430
UR - http://journals.pan.pl/dlibra/publication/edition/120114
T2 - Archives of Control Sciences
DOI - 10.24425/acs.2021.137425
ER -