An LMI approach to stability of systems with severe time-delay

This note describes the stability problems of uncertain systems with arbitrarily time-varying and severe time-delay. Using new Lyapunov-Krasovskii functionals, less conservative stability conditions are obtained for such systems. The results are illustrated using the numerical examples based on simp...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 49; no. 7; pp. 1192 - 1195
Main Authors JING, Xing-Jian, TAN, Da-Long, WANG, Yue-Chao
Format Journal Article
LanguageEnglish
Published New York, NY IEEE 01.07.2004
Institute of Electrical and Electronics Engineers
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Applied sciences
Computer science; control theory; systems
Constraint theory
Control theory. Systems
Delay effects
Delay systems
Exact sciences and technology
Laboratories
Linear matrix inequalities
Robotics and automation
Stability
Time domain analysis
Time varying systems
Uncertain systems
Time varying system
Uncertain system
Linear matrix inequality
Numerical method
Delay system
Delay time
Delayed time
Lyapunov function
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Summary:This note describes the stability problems of uncertain systems with arbitrarily time-varying and severe time-delay. Using new Lyapunov-Krasovskii functionals, less conservative stability conditions are obtained for such systems. The results are illustrated using the numerical examples based on simple 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.2004.831109