The Nehari problem for nonexponentially stable systems
type: Item
instance of: scholarly article
title: The Nehari problem for nonexponentially stable systems
zbMATH Open document ID: 0910.93024
DOI: 10.1007/BF01195122
author: Ruth Curtain
author: Job C. Costveen
published in: Integral Equations and Operator Theory
publication date: 1998-11-29T00:00:00Z
review text: The authors consider a state-space solution to the Nehari problem in terms of the generating operators \(A,B,C\). The assumptions that \(A\) generates an exponentially stable \(C_0\)-semigroup and that the Hankel operator is compact, which are used for infinite-dimensional problems, are not supposed. The aim of this paper is to derive an explicit parametrization of all solutions to the Nehari extension problems in terms of \(A,B,C\) operators for which the corresponding linear system is not exponentially stabilizable. The proofs are explicitly given and the paper is recommended to mathematicians and engineers working in the field of infinite-dimensional linear controlled systems.
Mathematics Subject Classification ID: 93B28
Mathematics Subject Classification ID: 47N70
Mathematics Subject Classification ID: 47A57
zbMATH DE Number: 1203948
zbMATH Keywords: nonexponentially stable systems
zbMATH Keywords: Nehari problem
zbMATH Keywords: infinite dimensional problems
reviewed by: Constantin Vârsan
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1203948