Stability analysis for linear delayed systems via an optimally dividing delay interval approach

This paper addresses the problem of stability for linear systems with time-varying delay. A novel augmented Lyapunov–Krasovskii functional is constructed by using the idea of optimally dividing the delay interval [0,τ(t)] into some variable sub-intervals and line integral technology. Using the novel...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 47; no. 9; pp. 2126 - 2129
Main Authors Zhang, Huaguang, Liu, Zhenwei
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.09.2011
Elsevier
Subjects
Applied sciences
Augmented functional
Computer science; control theory; systems
Control system analysis
Control theory. Systems
Criteria
Delay
Exact sciences and technology
Gain
Integrals
Intervals
Linear systems
Optimally dividing
Optimization
Stability
Time-varying delay
Stability
Time-varying delay
Optimally dividing
Augmented functional
Time varying system
Linear stability
Delay system
Stability criterion
Lyapunov function
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Summary:This paper addresses the problem of stability for linear systems with time-varying delay. A novel augmented Lyapunov–Krasovskii functional is constructed by using the idea of optimally dividing the delay interval [0,τ(t)] into some variable sub-intervals and line integral technology. Using the novel augmented functional, the new delay-dependent stability criteria are proposed for linear systems with time-varying delay. The gain is that this stability criterion can lead to much less conservative stability results compared to other methods for linear systems with delay. Two numerical examples are provided to verify the effectiveness of the proposed criteria.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2011.06.003