A novel delay partitioning method for stability analysis of interval time-varying delay systems

This paper investigates the problem of the delay-dependent stability for systems with interval time-varying delays. By using the idea of delay-partitioning approach, an appropriate delay partitioning point of h2−h1∈[0,h2] has been selected. Based on this delay partitioning point, a new augmented Lya...

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Bibliographic Details
Published in:Journal of the Franklin Institute 2017-01, Vol.354 (2), p.1209-1219
Main Authors: Ding, Liming, He, Yong, Wu, Min, Zhang, Zhiming
Format: Article
Language:English
Subjects:
Delay
Derivatives
Integrals
Integrated approach
Matrix
Numerical analysis
Partitioning
Stability analysis
Stabilization
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Summary:This paper investigates the problem of the delay-dependent stability for systems with interval time-varying delays. By using the idea of delay-partitioning approach, an appropriate delay partitioning point of h2−h1∈[0,h2] has been selected. Based on this delay partitioning point, a new augmented Lyapunov–Krasovskii functional is constructed. Then, the free-matrix-based integral inequality is employed to estimate the derivative of Lyapunov–Krasovskii functional. As a result, less conservative criteria are presented. Numerical examples are given to illustrate the improvement of the presented approach over the existing ones.
ISSN:0016-0032
1879-2693
0016-0032
DOI:10.1016/j.jfranklin.2016.11.022