## Stability analysis of switched impulsive systems with time delays.(English)Zbl 1200.93075

Summary: A new stability analysis of switched impulsive systems with time delays whose subsystem is not necessarily stable is presented. A sufficient condition on uniformly asymptotical stability for nonlinear switched impulsive systems is obtained. Using the result obtained and the minimum (maximum) holding time, an easily verifiable condition on uniformly asymptotical stability for linear switched impulsive systems with time delays is derived. The control synthesis is also discussed. Finally, two examples with simulation results are given to validate the results.

### MSC:

 93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) 93D20 Asymptotic stability in control theory 93B50 Synthesis problems
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### References:

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