Temat: thermoelastic - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Uniform stability in structural acoustic systems with thermal effects and nonlinear boundary damping
Autorzy:: Lasiecka, I.
Lebiedzik, C.
Powiązania:: https://bibliotekanauki.pl/articles/206079.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: nonlinear boundary damping
structural acoustic model
thermoelastic plates
uniform stabilization
Opis:: The stabilization problem for a structural acoustic model is considered. The model under consideration is that of acoustic cavity (wave equation) coupled at the interface with a flexible wall (plate equation) which accounts for thermal effects. It is shown that frictional, nonlinear damping applied at the boundary of the acoustic chamber provides the uniform decay rates for the energy function of the overall structure. The main novelty of this result, with respect to the literature, is that the uniform stability for the model is established without assuming any mechanical damping the wall.
Źródło:: Control and Cybernetics; 1999, 28, 3; 557-581
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Optimal regularity and optimal control of a thermoelastic structural acoustic model with point control and clamped boundary conditions
Autorzy:: Lebiedzik, C.
Triggiani, R.
Powiązania:: https://bibliotekanauki.pl/articles/970762.pdf
Data publikacji:: 2009
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: point control
parabolic/hyperbolic thermoelastic system
hyperbolic/hyperbolic chamber/wall coupling
Opis:: In this paper we consider point control of a structural acoustic model with thermoelastic effects. The key feature of this paper is that the two-dimensional plate modeling the active wall of the acoustic chamber has clamped boundary conditions. For this case a new optimal regularity result has recently become available (Triggiani, 2008). Using this new result for the plate alone, we derive a sharp (optimal) regularity result for the overall coupled system of wave and thermoelastic plate equations, after overcoming a series of additional technical difficulties. This allows for the study of an optimal control problem of the coupled system.
Źródło:: Control and Cybernetics; 2009, 38, 4B; 1461-1499
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Wellposedness of optimal control problems for systems with unbounded controls and partially analytic generators
Autorzy:: Lasiecka, I.
Powiązania:: https://bibliotekanauki.pl/articles/206185.pdf
Data publikacji:: 2002
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: równanie różniczkowe i algebraiczne Riccatiego
differential and algebraic Riccati equations
singular estimate
structural acoustic interactions
thermoelastic plates
unbounded control operators
Opis:: Wellposedness of differential and algebraic Riccati equations for control systems with unbounded control operators is considered. It is shown that the full-classical Riccati theory is recovered for a class of dynamics, whose generators are partially analytic. Partial analyticity is quantitatively expressed by the validity of the so-called "singular estimates", which is imposed on the composition operator E[sup At]B (A is the generator, B is unbounded control operator. This class comprises the PDE coupled systems with hyperbolic and parabolic components. Two illustrative examples are given in the paper: boumdary/point control of thermal plates with hyperbolic character and point control of structural acoustic interactions. The latter are described by wave equation coupled at an interface to a plate equation.
Źródło:: Control and Cybernetics; 2002, 31, 3; 751-777
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

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