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An explicit criterion for finite-time stability of linear nonautonomous systems with delays

Authors
Journal
Applied Mathematics Letters
0893-9659
Publisher
Elsevier
Volume
30
Identifiers
DOI: 10.1016/j.aml.2013.12.005
Keywords
  • Finite-Time Stability
  • Nonautonomous Systems
  • Time-Varying Delay
  • Metzler Matrix

Abstract

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.

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