New delay-partitioning approaches to stability criteria for uncertain neutral systems with time-varying delays

In this paper, the problem of stability analysis for uncertain neutral systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. By use of new augmented Lyapunov functional and delay-partitioning techniques, delay-dependent stability criteria to guar...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2012-11, Vol.349 (9), p.2799-2823
Main Authors: Kwon, O.M., Park, M.J., Park, Ju H., Lee, S.M., Cha, E.J.
Format: Article
Language:English
Subjects:
Algorithms
Applied sciences
Asymptotic properties
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Criteria
Delay
Exact sciences and technology
Mathematical models
Optimization
Stability
System theory
Uncertainty
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Summary:In this paper, the problem of stability analysis for uncertain neutral systems with time-varying delays is considered. The parameter uncertainties are assumed to be norm-bounded. By use of new augmented Lyapunov functional and delay-partitioning techniques, delay-dependent stability criteria to guarantee the asymptotic stability are established in terms of linear matrix inequalities (LMIs), which can be solved easily by various efficient convex optimization algorithms. Four numerical examples are given to show the superiority of the proposed methods.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2012.08.013