A delay decomposition approach to the stability analysis of singular systems with interval time-varying delay
type: Item
instance of: scholarly article
title: A delay decomposition approach to the stability analysis of singular systems with interval time-varying delay
zbMATH Open document ID: 1407.93149
DOI: 10.1155/2014/679460
author: Jianmin Jiao
author: Rui Zhang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper investigates delay-dependent stability problem for singular systems with interval time-varying delay. An appropriate Lyapunov-Krasovskii functional is constructed by decomposing the delay interval into multiple equidistant subintervals, where both the information of every subinterval and time-varying delay have been taken into account. Employing the Lyapunov-Krasovskii functional, improved delay-dependent stability criteria for the considered systems to be regular, impulse-free, and stable are established. Finally, two numerical examples are presented to show the effectiveness and less conservativeness of the proposed method.
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 93D05
zbMATH DE Number: 7016999
Wikidata QID: Q59068857
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/679460
OpenAlex ID: W1965350101
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description: scientific article; zbMATH DE number 7016999