Stability criteria of interval time-varying delay systems and their application
type: Item
instance of: scholarly article
title: Stability criteria of interval time-varying delay systems and their application
zbMATH Open document ID: 1400.34118
DOI: 10.1155/2018/7025908
author: Zhanhui Lu
author: Chengyong Wang
author: Weijuan Wang
published in: International Journal of Engineering Mathematics
publication date: 2018-10-04T00:00:00Z
review text: Summary: The stability for a class of uncertain linear systems with interval time-varying delays is studied. Based on the delay-dividing approach, the delay interval is partitioned into two subintervals. By constructing an appropriate Lyapunov-Krasovskii functional and using the convex combination method and the improved integral inequality, delay-dependent stability criteria with less conservation are derived. Finally, some numerical examples are given to show the effectiveness and superiority of the proposed method.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K06
zbMATH DE Number: 6947170
zbMATH Keywords: uncertain linear systems
zbMATH Keywords: delay-dividing approach
zbMATH Keywords: Lyapunov-Krasovskii functional
zbMATH Keywords: integral inequality
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/7025908
OpenAlex ID: W2793668239
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Wikidata QID: Q130079026
description: scientific article; zbMATH DE number 6947170