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**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 |

### Keywords:

singular time-delay systems; delay-dependent; stability; \(\alpha\)-stability; linear matrix inequality
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\textit{A. Haidar} and \textit{E. K. Boukas}, Automatica 45, No. 2, 539--545 (2009; Zbl 1158.93347)

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### References:

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