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

Advances in Difference Equations

Chao Zhang¹  Yuangong Sun¹ 

[1] School of Mathematical Sciences, University of Jinan, Jinan, P. R. China

关键词: positive systems;    delays;    stability;    time scales;   

DOI  :  10.1186/1687-1847-2012-56

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY