Temat: parabolic system - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Boundary control of retarded parabolic systems
Autorzy:: Krakowiak, A.
Powiązania:: https://bibliotekanauki.pl/articles/205637.pdf
Data publikacji:: 2011
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: boundary control
retarded argument
parabolic system
Opis:: Optimal boundary control problems for distributed parabolic systems in which retarded arguments appear in the integral form in the state equations are presented. Necessary and sufficient conditions of optimality are derived for the non-homogeneous Dirichlet problem. A simple example of application is also provided.
Źródło:: Control and Cybernetics; 2011, 40, 1; 9-23
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Discrete relaxed method for semilinear parabolic optimal control problem
Autorzy:: Chryssoverghi, I.
Coletsos, J.
Kokkinis, B.
Powiązania:: https://bibliotekanauki.pl/articles/205973.pdf
Data publikacji:: 1999
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Tematy:: sterowanie optymalne
accumulation points
discrete optimisation method
discretization
distributed control
minimum principle
optimal control
parabolic equations
partial differential equations
penalty method
relaxed control
semilinear parabolic system
Opis:: We consider an optimal control problem for systems governed by semilinear parabolic partial differential equations with control and state constraints, without any convexity assumptions. A discrete optimization method is proposed to solve this problem in its relaxed form which combines a penalized Armijo type method with a finite element discretization and constructs sequences of discrete Gamkrelidze relaxed controls. Under appropriate assumptions, we prove that accumulation points of these sequences satisfy the relaxed Pontryagin necessary conditions for optimality. Moreover, we show that the Gamkrelidze controls thus generated can be replaced by simulating piecewise constant classical controls.
Źródło:: Control and Cybernetics; 1999, 28, 2; 157-176
0324-8569
Pojawia się w:: Control and Cybernetics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

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

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