Invertibility of Riccati operators and controllability of related systems

DOI10.1016/0167-6911(87)90010-7zbMath0622.93030OpenAlexW2056685858MaRDI QIDQ1091328

Franco Flandoli

Publication date: 1987

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(87)90010-7

zbMATH Keywords

controllabilityinjectivityHilbert spaceRiccati equationslinear quadratic control problems

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25) Equations involving linear operators, with operator unknowns (47A62) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Inner product spaces and their generalizations, Hilbert spaces (46C99) Optimality conditions for problems in abstract spaces (49K27)

Related Items

Algebraic Riccati equations with non-smoothing observation arising in hyperbolic and Euler-Bernoulli boundary control problems, Receding horizon control for the stabilization of the wave equation, On application of the implemented semigroup to a problem arising in optimal control, On the Stabilizability of the Burgers Equation by Receding Horizon Control

Cites Work

• Quelques résultats d'existence, unicité et régularité pour un problème de la théorie du contrôle
• A linear control problem in an abstract Hilbert space
• Riccati Equation Arising in a Boundary Control Problem with Distributed Parameters
• Dynamic Programming Approach to Stochastic Evolution Equations
• The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces
• Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis
• Controllability and Observability for Infinite-Dimensional Systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item