@ARTICLE{Jilavyan_Samvel_H._Heating_2021,
 author={Jilavyan, Samvel H. and Grigoryan, Edmon R. and Khurshudyan, Asatur Zh.},
 volume={vol. 31},
 number={No 2},
 journal={Archives of Control Sciences},
 pages={417-430},
 howpublished={online},
 year={2021},
 publisher={Committee of Automatic Control and Robotics PAS},
 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.},
 type={Article},
 title={Heating control of a finite rod with a mobile source},
 URL={http://www.journals.pan.pl/Content/120114/PDF/art09.pdf},
 doi={10.24425/acs.2021.137425},
 keywords={null-controllability, mobile control, nonlinear constraints, triangular wave, rectangular wave, Green’s function approach, heuristic control, lack of exact controllability},
}