A delay decomposition approach to delay‐dependent stability for linear systems with time‐varying delays
By Xianming Zhang, Qing-Long Han. 2009
94 citations recorded by the source corpus.
This paper is concerned with delay‐dependent stability for linear systems with time‐varying delays. By decomposing the delay interval into multiple equidistant subintervals, on which different Lyapunov functionals are chosen, and new Lyapunov‐Krasvskii functionals are then constructed. Employing these new Lyapunov‐Krasvskii functionals, some new delay‐dependent stability criteria are established. The numerical examples show that the obtained results are less conservative than some existing ones in the literature. Copyright © 2009 John Wiley & Sons, Ltd.
Subfields: Computer Networks and Communications, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/69f14d826cf71de88351f9362f131c7e65e2061a
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In Computer Networks and Communications
In Control and Systems Engineering
Citations in the corpus
- Less conservative results on stability for linear systems with a time‐varying delay (2013, methodology): “This example has been discussed in [5, 13, 14, 21], and the MAUBs calculated for various are listed in Table III.”
- Results on stability of linear systems with time varying delay (2017, methodology): “Compared with the simple functionals [1], augmented-based [5, 6, 9] and delay-partition-based functionals [13, 14] have been constructed to improve the stability criteria.”