## A LMI approach to stability analysis and synthesis of impulsive switched systems with time delays.(English)Zbl 1157.93501

Summary: This paper studies the asymptotic stability problem for a class of impulsive switched systems with time invariant delays based on Linear Matrix Inequality (LMI) approach. Some sufficient conditions, which are independent of time delays and impulsive switching intervals, for ensuring asymptotical stability of these systems are derived by using a Lyapunov-Krasovskii technique. Moreover, some appropriate feedback controllers, which can stabilize the closed-loop systems, are constructed. Illustrative examples are presented to show the effectiveness of the results obtained.

### MSC:

 93D20 Asymptotic stability in control theory 93B50 Synthesis problems 34A37 Ordinary differential equations with impulses
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### References:

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