A Lyapunov functional for a neutral system with a time-varying delay

The paper presents a method of determining of the Lyapunov functional for a linear neutral system with an interval time-varying delay. The Lyapunov functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the trajectory of the system wit...

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Bibliographic Details
Published in:Bulletin of the Polish Academy of Sciences. Technical sciences 2013-12, Vol.61 (4), p.911-918
Main Author: Duda, J.
Format: Article
Language:English
Subjects:
Construction
Delay
Derivatives
Intervals
Lyapunov functional
Mathematical analysis
neutral system
time-varying delay
Trajectories
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Summary:The paper presents a method of determining of the Lyapunov functional for a linear neutral system with an interval time-varying delay. The Lyapunov functional is constructed for the system with a time-varying delay with a given time derivative, which is calculated on the trajectory of the system with a time-varying delay. The presented method gives analytical formulas for the coefficients of the Lyapunov functional
ISSN:0239-7528
2300-1917
DOI:10.2478/bpasts-2013-0098