Finite-time stability of linear non-autonomous systems with time-varying delays

Advances in Difference Equations

Xiaodi Li¹  Xueyan Yang¹ 

[1] School of Mathematics and Statistics, Shandong Normal University;

关键词: Finite-time stability;    Linear non-autonomous systems;    Time-varying delay;    Metzler matrix;   

DOI  :  10.1186/s13662-018-1557-3

来源: DOAJ

【 摘 要 】

Abstract In this paper, we investigate the problem of finite-time stability (FTS) of linear non-autonomous systems with time-varying delays. By constructing an appropriated function, we derive some explicit conditions in terms of matrix inequalities ensuring that the state trajectories of the system do not exceed a certain threshold over a pre-specified finite time interval. Finally, two examples are given to show the effectiveness of the main results.

【 授权许可】

Unknown