Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 8, Issue 15, Pages 1537-1542Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2014.0231
Keywords
asymptotic stability; time-varying systems; Lyapunov methods; stability criteria; linear programming; delay systems; mixed time-varying delays; delayed impulsive positive system model; necessary and sufficient condition; copositive Lyapunov-Krasovskii functional; average impulsive interval method; sufficient criterion; global exponential stability; linear programming problem
Categories
Funding
- National Natural Science Foundation of China [61374171, 61074124]
- Program for Changjiang Scholars and Innovative Research Team in University [IRT1245]
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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.
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