Open AccessNew results on stability of switched positive systems: an average dwell‐time approach
Author(s) -
Lian Jie,
Liu Jiao
Publication year - 2013
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.2013.0280
Subject(s) - dwell time , control theory (sociology) , exponential stability , mathematics , stability (learning theory) , lyapunov function , class (philosophy) , linear system , exponential function , computer science , mathematical analysis , control (management) , nonlinear system , artificial intelligence , clinical psychology , machine learning , medicine , physics , quantum mechanics
This study is concerned with the problem of exponential stability for a class of switched positive linear systems consisting of both stable and unstable subsystems. The sufficient conditions of exponential stability are established in continuous‐time and discrete‐time domains. Based on the average dwell‐time approach, new stability results for such kind of systems are first derived, which allows the ascent of the multiple linear copositive Lyapunov functions caused by unstable subsystems. Furthermore, when all subsystems are stable, the exponential stability condition for switched positive systems is presented. Finally, numerical examples are given to illustrate the effectiveness of the results.