## Stability analysis of switched stochastic systems.(English)Zbl 1209.93157

Summary: For a class of Switched Stochastic (SS) systems, the Moment Stability (M-S) and Sample Path Stability (SP-S) are investigated, respectively, and there are two main contributions. First, based on accurate estimations for the powers of solution of a special nonswitched stochastic system, by employing the concepts of a Lyapunov function and describing the switching laws with the average dwell-time and the subsystems, three sufficiency theorems of $$p$$-th M-S are given for the SS systems. Then, for the SP-S of such systems, based on the results of $$p$$-th M-S, two sufficiency theorems are obtained for $$p>2$$ and $$p=2$$, respectively.

### MSC:

 93E15 Stochastic stability in control theory 93D30 Lyapunov and storage functions 93E03 Stochastic systems in control theory (general)
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### References:

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