Stability analysis of linear positive systems with time delays on time scales

被引：1
|
作者：
Zhang, Chao [1 ]
Sun, Yuangong [1 ]
机构：
[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2012年
关键词：
positive systems; delays; stability; time scales;
D O I：
10.1186/1687-1847-2012-56
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article studies the necessary and sufficient conditions for asymptotic stability of the linear positive systems with bounded time-varying delays on time scales. Using Lyapunov functions, asymptotic stability conditions for positive systems with constant delays on time scales are established. The relations between the two types of systems have been found out, which bridged the gap between their stability. These results not only unify the existing ones of linear positive continuous- and discrete- systems but also contain more complicated time scales.
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页数：11
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