Journal
IET CONTROL THEORY AND APPLICATIONS
Volume 6, Issue 6, Pages 761-767Publisher
INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/iet-cta.2011.0133
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Funding
- National Natural Science Foundation of People' Republic of China [61004011, 61034007]
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This study investigates the exponential stability analysis problem for continuous-time and discrete-time positive linear systems with delays. For given decay rate, necessary conditions for exponential stability of such systems are presented based on the asymptotical stability results of positive linear time-delay systems, and sufficient conditions are provided by using Lyapunov-Krasovskii functional method. It is shown that, the exponential stability with given decay rate of positive linear time-delay systems has to do with the delays. Some illustrative examples are given to show the correctness of the obtained theoretical results.
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