## Observer-based robust $$H_\infty$$ control for switched stochastic systems with time-varying delay.(English)Zbl 1291.93116

Summary: This paper investigates the problem of observer-based robust $$H_\infty$$ control for a class of switched stochastic systems with time-varying delay. Based on the average dwell time method, an exponential stability criterion for switched stochastic delay systems is proposed. Then, $$H_\infty$$ performance analysis and observer-based robust $$H_\infty$$ controller design for the underlying systems are developed. Finally, a numerical example is presented to illustrate the effectiveness of the proposed approach.

### MSC:

 93B36 $$H^\infty$$-control 93E03 Stochastic systems in control theory (general) 60H10 Stochastic ordinary differential equations (aspects of stochastic analysis) 93B07 Observability
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### References:

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