Open AccessStability and L 2 ‐gain analysis for switched systems with interval time‐varying delay
Author(s) -
Liu Duyu,
Liu Xingwen,
Xiao Gang
Publication year - 2015
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.2014.0889
Subject(s) - dwell time , control theory (sociology) , interval (graph theory) , mathematics , exponential stability , stability (learning theory) , class (philosophy) , computer science , nonlinear system , control (management) , medicine , clinical psychology , physics , combinatorics , artificial intelligence , quantum mechanics , machine learning
This study studies the problem of exponential stability and L 2 ‐gain analysis of a class of switched systems with delay varying in an interval. By using a newly constructed Lyapunov–Krasovskii functional and the average dwell‐time scheme, delay‐dependent sufficient conditions are obtained which are expressed as linear matrix inequalities. These conditions provide a solution for finding a switching signal under which exponential stability and normal L 2 ‐gain of the switched delay system are guaranteed. Two illustrative examples are given to demonstrate the effectiveness of the proposed results.