Lyapunov Functions for Shuffle Asymptotic Stability of Discrete-Time Switched Systems

Abstract : In this paper, we investigate stability of discrete-time switched systems under shuffled switching signals. A switching signal is said to be shuffled if each mode of the switched system is activated infinitely often. We introduce the notion of shuffle Lyapunov functions and show that the existence of such a function is a sufficient condition for global uniform shuffle asymptotic stability. In the second part of the paper, we show that for a specific class of switched systems, with linear and invertible dynamics, existence of a shuffle Lyapunov function is also necessary, even for the weaker notion of global shuffle attractivity. Examples and numerical experiments are used to illustrate the main results of the paper.
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02286590
Contributor : Antoine Girard <>
Submitted on : Friday, September 13, 2019 - 3:56:16 PM
Last modification on : Tuesday, September 17, 2019 - 11:09:22 AM

File

root.pdf
Files produced by the author(s)

Identifiers

Citation

Antoine Girard, Paolo Mason. Lyapunov Functions for Shuffle Asymptotic Stability of Discrete-Time Switched Systems. IEEE Control Systems Letters, IEEE, 2019, 3 (3), pp.499-504. ⟨10.1109/LCSYS.2019.2909731⟩. ⟨hal-02286590⟩

Share

Metrics

Record views

24

Files downloads

35