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

Abstract

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.

Keywords

• Finite-time stability
• Linear non-autonomous systems
• Time-varying delay
• Metzler matrix