Open AccessExponential stability of impulsive positive systems with mixed time‐varying delays
Author(s) -
Wang YanWu,
Zhang JiShi,
Liu Meng
Publication year - 2014
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.2014.0231
Subject(s) - control theory (sociology) , exponential stability , mathematics , stability (learning theory) , interval (graph theory) , exponential function , positive systems , class (philosophy) , linear system , mathematical optimization , computer science , nonlinear system , mathematical analysis , control (management) , artificial intelligence , physics , quantum mechanics , machine learning , combinatorics
This study addresses the problem of exponential stability for a class of impulsive positive systems with mixed time‐varying delays. A delayed impulsive positive system model is introduced for the first time and a necessary and sufficient condition guaranteeing the positivity of this kind of system is proposed. By using a copositive Lyapunov–Krasovskii functional and the average impulsive interval method, a sufficient criterion of global exponential stability for delayed impulsive positive systems is established in terms of linear programming problems. A numerical example is given to show the effectiveness of the proposed method.