On the nonnegative self-adjoint solutions of the operator Riccati equation for infinite dimensional systems
type: Item
instance of: scholarly article
title: On the nonnegative self-adjoint solutions of the operator Riccati equation for infinite dimensional systems
zbMATH Open document ID: 0826.93034
DOI: 10.1007/BF01208348
author: Frank M. Callier
author: Laurence Dumortier
author: J. J. Winkin
published in: Integral Equations and Operator Theory
publication date: 1995-07-12T00:00:00Z
review text: The nonnegative self-adjoint solutions of the operator Riccati equation are studied for stabilizable semigroup Hilbert state space systems with bounded sensing and control. A one-to-one correspondence between all nonnegative self-adjoint solutions and finite dimensional semigroup invariant subspaces contained in the antistable unobservable subspace is established.
reviewed by: L. Faybusovich
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B28
zbMATH DE Number: 772924
zbMATH Keywords: infinite-dimensional systems
zbMATH Keywords: operator Riccati equation
zbMATH Keywords: Hilbert state space
zbMATH Keywords: semigroup invariant subspaces
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01208348
OpenAlex ID: W2022968366
description: scientific article; zbMATH DE number 772924