Temat: Green’s function - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: Approximate controllability of second order infinite dimensional systems
Autorzy:: Klamka, Jerzy
Khurshudyan, Asatur Zh.
Tematy:: infinite dimensional systems
approximate controllability
Green’s function approach
flexible Kirchhoff–Love plate; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/1409079.pdf Link otwiera się w nowym oknie
Opis:: In the paper approximate controllability of second order infinite dimensional system with damping is considered. Applying linear operators in Hilbert spaces general mathematical model of second order dynamical systems with damping is presented. Next, using functional analysis methods and concepts, specially spectral methods and theory of unbounded linear operators, necessary and sufficient conditions for approximate controllability are formulated and proved. General result may be used in approximate controllability verification of second order dynamical system using known conditions for approximate controllability of first order system. As illustrative example using Green function approach approximate controllability of distributed dynamical system is also discussed.
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Heating control of a finite rod with a mobile source
Autorzy:: Jilavyan, Samvel H.
Grigoryan, Edmon R.
Khurshudyan, Asatur Zh.
Tematy:: null-controllability
mobile control
nonlinear constraints
triangular wave
rectangular wave
Green’s function approach
heuristic control
lack of exact controllability; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/1409386.pdf Link otwiera się w nowym oknie
Opis:: 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.
Dostawca treści:: Biblioteka Nauki

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