Open AccessLyapunov Functions for Shuffle Asymptotic Stability of Discrete-Time Switched Systems
Author(s) -
Antoine Girard,
Paolo Mason
Publication year - 2019
Publication title -
ieee control systems letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.154
H-Index - 21
ISSN - 2475-1456
DOI - 10.1109/lcsys.2019.2909731
Subject(s) - invertible matrix , lyapunov function , exponential stability , mathematics , discrete time and continuous time , stability (learning theory) , class (philosophy) , control theory (sociology) , function (biology) , stability theory , pure mathematics , computer science , nonlinear system , control (management) , physics , artificial intelligence , quantum mechanics , biology , evolutionary biology , machine learning , statistics
In this letter, 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...
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