A review of some subtleties of practical relevance for time-delay systems of neutral type
type: Item
instance of: scholarly article
title: A review of some subtleties of practical relevance for time-delay systems of neutral type
zbMATH Open document ID: 1264.34006
DOI: 10.5402/2012/725783
author: Keqin Gu
published in: ISRN Applied Mathematics
publication date: 2013-06-11T00:00:00Z
review text: Summary: We review some subtleties in time-delay systems of neutral type that are believed to be of particular relevance in practice. Both traditional formulation and the coupled differential-difference equation formulation are used. The discontinuity of the spectrum as a function of delays is discussed. Conditions to guarantee stability under small parameter variations are given. A number of subjects that have been discussed in the literature, often using different methods, are reviewed to illustrate some fundamental concepts. These include systems with small delays, the sensitivity of Smith predictor to small delay mismatch, and the discrete implementation of distributed-delay feedback control. The framework prsented in this paper makes it possible to provide simpler formulation and strengthen, generalize, or provide alternative interpretation of the existing results.
Mathematics Subject Classification ID: 34-02
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 6172978
MaRDI profile type: Publication
Wikidata QID: Q58691855
full work available at URL: https://doi.org/10.5402/2012/725783
OpenAlex ID: W2165333442
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