Heating control of a finite rod with a mobile source

• Autorzy: Jilavyan Samvel H. , Grigoryan Edmon R. , Khurshudyan Asatur Zh.

Identyfikatory

DOI

10.24425/acs.2021.137425

• Języki publikacji: EN

Abstrakty

EN

The Green’s function approach is applied for studying the exact and approximate null-controllability 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.

Słowa kluczowe

EN

null-controllability; mobile control; nonlinear constraints; triangular wave; rectangular wave; Green’s function approach; heuristic control; lack of exact controllability

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2021
• Tom: Vol. 31, No. 2
• Strony: 417--430
• Opis fizyczny: Bibliogr. 28 poz., rys., wzory

Twórcy

autor

Jilavyan Samvel H.

• Faculty of Mathematics and Mechanics, Yerevan State University, 1 Alex Manoogian, 0025 Yerevan, Armenia

autor

Grigoryan Edmon R.

• Faculty of Mathematics and Mechanics, Yerevan State University, 1 Alex Manoogian, 0025 Yerevan, Armenia

autor

Khurshudyan Asatur Zh.

• Dynamics of Deformable Systems and Coupled Fields, Institute of Mechanics, National Academy of Sciences of Armenia, 0019 Yerevan, Armenia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).