Stability criteria for a class of nonlinear singular systems with interval time-varying delays

The stability problem is investigated for a class of nonlinear singular systems with interval time-varying delays. Based on Lyapunov stability theory, using linear matrix inequality and free-weighting matrix approach, a new delay-dependent stability criterion for the nonlinear singular systems to be...

Full description

Saved in:
Bibliographic Details
Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 40; no. 4; pp. 411 - 415
Main Author Jiao, Jian-Min
Format Journal Article
LanguageChinese
Published Zhejiang University Press 01.07.2013
Subjects
Asymptotic properties
Criteria
Delay
Impulses
Intervals
Linear matrix inequalities
Nonlinearity
Stability
区间时变时滞
稳定性
线性矩阵不等式
非线性广义系统
Online AccessGet full text
ISSN1008-9497
DOI10.3785/j.issn.1008-9497.2013.04.011

Cover

More Information
Summary:The stability problem is investigated for a class of nonlinear singular systems with interval time-varying delays. Based on Lyapunov stability theory, using linear matrix inequality and free-weighting matrix approach, a new delay-dependent stability criterion for the nonlinear singular systems to be regular, impulse free and uniformly asymptotically stable is proposed. The result shows that it can be used to effectively judge the stability of nonlinear singular systems with interval time-varying delay, meanwhile, it has less conservatism than some existing ones, which is demonstrated by numerical examples.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ObjectType-Article-1
ObjectType-Feature-2
ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2013.04.011