Article ID Journal Published Year Pages File Type
1707967 Applied Mathematics Letters 2014 7 Pages PDF
Abstract

In this paper, the problem of finite-time stability of linear nonautonomous systems with time-varying delays is considered. Using a novel approach based on some techniques developed for linear positive systems, we derive new 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. These conditions are shown to be relaxed for the Lyapunov asymptotic stability. A numerical example is given to illustrate the effectiveness of the obtained result.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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