On Equivalence and Efficiency of Certain Stability Criteria for Time-Delay Systems

In recent years, there have been a number of new delay-dependent stability criteria based on linear matrix inequalities published in the literature. This note aims to theoretically establish the equivalence of seven of these stability criteria. Moreover, the efficiency of these stability criteria is...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 52; no. 1; pp. 95 - 101
Main Authors Shengyuan Xu, Lam, J.
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.01.2007
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Applied sciences
Automatic control
Automation
Computer science; control theory; systems
Control systems
Control theory. Systems
Criteria
Delay systems
Delay-dependent condition
Educational programs
Exact sciences and technology
Linear matrix inequalities
Mechanical engineering
Stability
Stability analysis
Stability criteria
Symmetric matrices
time-delay systems
time-delay systems
Linear matrix inequality
Delay system
Delay time
Stability criterion
Delay-dependent condition
stability
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Summary:In recent years, there have been a number of new delay-dependent stability criteria based on linear matrix inequalities published in the literature. This note aims to theoretically establish the equivalence of seven of these stability criteria. Moreover, the efficiency of these stability criteria is assessed based on the number of unknowns in the linear matrix inequalities
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2006.886495