Finite Time Stability of Linear Control Systems with Multiple Delays

Abstract

In this paper, we considered finite time stability of a class of linear control systems. By using suitable matrix measures and Coppel’s inequality a bound for the solution of the linear control system with multiple delays in the state is determined. A sufficient delay dependent conditions for finite time stability of linear control system with delay are derived.

Key words: Linear systems, control systems, stability, time delay, Coppel’s inequality