Delay-hybrid-dependent stability for systems with large delays - Archive ouverte HAL Access content directly
Journal Articles IEEE transactions on systems, man, and cybernetics Year : 2018

Delay-hybrid-dependent stability for systems with large delays

(1) , (1) , (2, 3)
1
2
3

Abstract

This paper investigates a problem of stability analysis for a class of nonlinear systems with a time-varying delay taking both large and small values in an alternating manner. This problem is a delay-dependent stability analysis one but it shares some features with delay-independent ones. Hence traditional stability analysis techniques for systems with delay do not apply. By building upon our previous works, we first introduce the concept of delay-hybrid-dependent stability, which grasps the features of the delays described above. To ease the problem we investigate, we represent the studied system as a system with a switched delay. Then by using switching techniques and Lyapunov-Krasovskii functionals (LKFs), we provide a new stability criterion. Next, in the linear context, we show how the needed LKFs can be constructed by developing an original design of LKFs.
Fichier principal
Vignette du fichier
wangxuefang1.pdf (174.31 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01849022 , version 1 (25-07-2018)

Identifiers

  • HAL Id : hal-01849022 , version 1

Cite

Xi-Ming Sun, Xue-Fang Wang, Frédéric Mazenc. Delay-hybrid-dependent stability for systems with large delays. IEEE transactions on systems, man, and cybernetics, 2018, pp.1-12. ⟨hal-01849022⟩
87 View
107 Download

Share

Gmail Facebook Twitter LinkedIn More