An optimal control problem with unbounded control operator and unbounded observation operator where the algebraic Riccati equation is satisfied as a Lyapunov equation

Applied Mathematics Letters

Volumn 10, Issue 2, 1997, Pages 95-102

  Triggiani, R ^a  

^a University of Virginia   (United States)

Author keywords

Hyperbolic Riccati Lyapunov equations; Unbounded control observation

Indexed keywords

EID: 0007186253     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(97)00018-9     Document Type: Article

References (3)

1. I. Lasiecka and R. Triggiani, Differential and algebraic Riccati equations with applications to boundary/point control problems: Continuous theory and approximation theory, In Springer-Verlag Lecture Notes Series in Control and Information Sciences, Vol. 164, (1991).
2. I. Lasiecka and R. Triggiani, Deterministic Control Theory for Partial Differential Equations, Vol. I: Quadratic Cost Problems and Abstract Riccati Equations, In Encyclopedia of Mathematics Series, Cambridge University Press (to appear).
3. A. Bensoussan, G. DaPrato, M. Delfour and S. Mitter, Representation and Control of Infinite Dimensional Systems, Vois. I and II, Birkhauser, (1992).