Brief paper: Exponential stability of singular systems with multiple time-varying delays

Ahmad Haidar, E. K. Boukas

Automatica (Journal of IFAC)(2009)

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摘要
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 @a-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.
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continuous-time singular linear system,linear matrix inequality,Delay-range-dependent sufficient condition,convergence rate,global exponential stability problem,multiple time-varying delay,numerical example,paper deal,proposed result,stable system,brief paper,singular system
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