Delay-Dependent Robust Stability Criteria for Two Classes of Uncertain Singular Time-Delay Systems

In this note, the delay-dependent robust stability criteria for two classes of singular time-delay systems with norm-bounded uncertainties are investigated. First, without using model transformation and bounding technique for cross terms, an improved delay-dependent stability criterion for the nomin...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on automatic control Vol. 52; no. 5; pp. 880 - 885
Main Authors Shuqian Zhu, Chenghui Zhang, Zhaolin Cheng, Feng, J.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.05.2007
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Applied sciences
Asymptotic properties
Automatic control
Computer science; control theory; systems
Control system analysis
Control systems
Control theory. Systems
Criteria
Delay effects
Delay systems
Delay-dependent stability criteria
Differential equations
Exact sciences and technology
Impulses
Linear matrix inequalities
linear matrix inequality (LMI)
Mathematical models
Mathematics
norm-bounded uncertainty
Robust stability
singular time-delay systems
Stability
Stability criteria
System theory
Transformations
Transmission line matrix methods
Uncertainty
Singularity
Robust stability
linear matrix inequality (LMI)
norm-bounded uncertainty
Delay system
Stability criterion
Delay dependent system
Modeling
Robust control
Delay-dependent stability criteria
Asymptotic stability
Uncertain system
Linear matrix inequality
Delay time
singular time-delay systems
Online AccessGet full text

Cover

More Information
Summary:In this note, the delay-dependent robust stability criteria for two classes of singular time-delay systems with norm-bounded uncertainties are investigated. First, without using model transformation and bounding technique for cross terms, an improved delay-dependent stability criterion for the nominal singular time-delay system is established in terms of strict linear matrix inequalities (LMIs). Then, based on this criterion, the delay-dependent robust stability criteria for two classes of uncertain singular time-delay systems are proposed, which ensure that the systems are regular, impulse free and asymptotically stable for all admissible uncertainties. Numerical examples are proposed to illustrate the less conservatism of the obtained results
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ObjectType-Article-2
ObjectType-Feature-1
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2007.895951