## Exponential stability of singular systems with multiple time-varying delays.(English)Zbl 1158.93347

Summary: 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 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.

### MSC:

 93C15 Control/observation systems governed by ordinary differential equations 93D09 Robust stability
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### References:

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