Wellposedness of optimal control problems for systems with unbounded controls and partially analytic generators

• Autorzy: Lasiecka I.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

differential and algebraic Riccati equations; singular estimate; structural acoustic interactions; thermoelastic plates; unbounded control operators

PL

równanie różniczkowe i algebraiczne Riccatiego

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2002
• Tom: Vol. 31, no 3
• Strony: 751--777
• Opis fizyczny: Bibliogr. 41 poz.,

Twórcy

autor

Lasiecka I.

• Department of Mathematics, Kerchof Hall, University of Virginia, Charlottesville. Virginia 22901,