Open AccessFinite‐time stability of non‐linear systems with impulsive effects due to logic choice
Author(s) -
Zhang Junhui,
Sun Jitao,
Wang QingGuo
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2017.0886
Subject(s) - control theory (sociology) , stability (learning theory) , class (philosophy) , linear system , tensor product , mathematics , computer science , mathematical analysis , artificial intelligence , pure mathematics , control (management) , machine learning
This study is concerned with the finite‐time stability of non‐linear systems with impulsive effects due to logic choice. Firstly, we introduce a class of non‐linear systems with logic‐induced impulses and it generalises the model established in Suo and Sun (2015). Then, based on semi‐tensor product technique, several criteria for finite‐time stability for the system are given. Finally, two numerical examples are provided to illustrate authors' results.