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**Robust stability of switched delay systems with average dwell time under asynchronous switching.**
*(English)*
Zbl 1263.93179

Summary: The problem of robust stability of switched delay systems with average dwell time under asynchronous switching is investigated. By taking advantage of the average dwell-time method and an integral inequality, two sufficient conditions are developed to guarantee the global exponential stability of the considered switched system. Finally, a numerical example is provided to demonstrate the effectiveness and feasibility of the proposed techniques.

### MSC:

93D09 | Robust stability |

93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |

### Keywords:

robust stability of switched delay systems; average dwell-time method; global exponential stability
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\textit{J. Cheng} et al., J. Appl. Math. 2012, Article ID 956370, 17 p. (2012; Zbl 1263.93179)

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