Invertibility of Riccati operators and controllability of related systems
type: Item
instance of: scholarly article
title: Invertibility of Riccati operators and controllability of related systems
zbMATH Open document ID: 0622.93030
DOI: 10.1016/0167-6911(87)90010-7
author: Franco Flandoli
published in: Systems \& Control Letters
publication date: 1987-01-01T00:00:00Z
review text: The author studies properties of the solutions of Riccati equations in a Hilbert space. In particular, the properties of injectivity and the existence of a bounded inverse are investigated. This in turn has implications for controllability of the associated state-space system.
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 47A05
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 46C99
Mathematics Subject Classification ID: 47A62
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 49K27
zbMATH DE Number: 4010322
zbMATH Keywords: linear quadratic control problems
zbMATH Keywords: Riccati equations
zbMATH Keywords: Hilbert space
zbMATH Keywords: injectivity
zbMATH Keywords: controllability
MaRDI profile type: Publication
full work available at URL: 0167-6911(87)90010-7
OpenAlex ID: W2056685858
cites work: Quelques résultats d'existence, unicité et régularité pour un problème de la théorie du contrôle
cites work: A linear control problem in an abstract Hilbert space
cites work: Controllability and Observability for Infinite-Dimensional Systems
cites work: Riccati Equation Arising in a Boundary Control Problem with Distributed Parameters
cites work: Q3723178
cites work: Q3749665
cites work: Q3787863
cites work: The Riccati Integral Equations for Optimal Control Problems on Hilbert Spaces
cites work: Dynamic Programming Approach to Stochastic Evolution Equations
cites work: Dirichlet Boundary Control Problem for Parabolic Equations with Quadratic Cost: Analyticity and Riccati’s Feedback Synthesis
cites work: Q5601627
description: scientific article; zbMATH DE number 4010322