Stability analysis of linear positive systems with time delays on time scales
نویسندگان
چکیده
* Correspondence: ss_zhangc@ujn. edu.cn School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P. R. China Abstract 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 continuousand discretesystems but also contain more complicated time scales.
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