- 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