Journal
NONLINEAR ANALYSIS-HYBRID SYSTEMS
Volume 19, Issue -, Pages 146-152Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.nahs.2015.09.001
Keywords
Positive switched system; Stability; Joint linear copositive Lyapunov function; Time delay
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Funding
- Natural Science Foundation of Shandong Province [JQ201119]
- National Natural Science Foundation of China [61174217, 61374074, 61473133]
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In this paper, we study the asymptotic stability of continuous-time positive switched linear systems for the case when each subsystem is only stable. By using the so-called joint linear copositive Lyapunov function (JLCLF) generalizing the common linear copositive Lyapunov function, we show that the system remains asymptotically stable under appropriate switching if it has a JLCLF. Then, the main result is extended to positive switched linear systems with time delay. (C) 2015 Elsevier Ltd. All rights reserved.
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