On the transfer matrix of a neutral system: Characterizations of exponential stability in input-output terms
type: Item
instance of: scholarly article
title: On the transfer matrix of a neutral system: Characterizations of exponential stability in input-output terms
zbMATH Open document ID: 0629.93054
DOI: 10.1016/0167-6911(87)90068-5
author: H. Logemann
published in: Systems \& Control Letters
publication date: 1987-01-01T00:00:00Z
review text: Two examples are presented of canonical delay systems of neutral type which show that: 1. The transfer function may be holomorphic for Re z larger than zero or on an open set which contains Re z\(>0\), even if the null solution of the free system is not exponentially stable 2. \(L^ 2\)-stability does not imply exponential stability. A final result states that some conditions are equivalent to exponential stability; in particular, the fact that the transfer function is holomorphic for Re z\(>-\sigma\), \(\sigma >0\), if the delay operator does not contain a singular part.
Mathematics Subject Classification ID: 93D25
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 30H05
Mathematics Subject Classification ID: 93C35
zbMATH DE Number: 4025289
zbMATH Keywords: delay systems of neutral type
zbMATH Keywords: transfer function
zbMATH Keywords: \(L^ 2\)-stability
zbMATH Keywords: exponential stability
zbMATH Keywords: time-invariant
reviewed by: Luciano Pandolfi
MaRDI profile type: Publication
full work available at URL: 0167-6911(87)90068-5
OpenAlex ID: W1965361609
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description: scientific article; zbMATH DE number 4025289