Automatica, Vol.45, No.2, 539-545, 2009
Exponential stability of singular systems with multiple time-varying delays
This paper deals with the class of continuous-time singular linear systems with multiple time-varying delays in a range. The global exponential stability problem of this class of systems is addressed. Delay-range-dependent sufficient conditions such that the system is regular, impulse-free and alpha-stable are developed in the linear matrix inequality (LMI) setting. Moreover, an estimate of the convergence rate of such stable systems is presented. A numerical example is employed to show the usefulness of the proposed results. Crown Copyright (C) 2008 Published by Elsevier Ltd. All rights reserved.
Keywords:Singular time-delay systems;Delay-dependent;Stability;alpha-stability;Linear matrix inequality