## Passivity-based control for uncertain stochastic jumping systems with mode-dependent round-trip time delays.(English)Zbl 1254.93148

Summary: This paper considers the passivity-based control problem for stochastic jumping systems with mode-dependent round-trip time-varying delays and norm-bounded parametric uncertainties. By utilizing a novel Markovian switching Lyapunov functional, a delay-dependent passivity condition is obtained. Then, based on the derived passivity condition, a desired Markovian switching dynamic output feedback controller is designed, which ensures that the resulting closed-loop system is passive. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed results.

### MSC:

 93E03 Stochastic systems in control theory (general) 93B35 Sensitivity (robustness) 60J75 Jump processes (MSC2010)
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### References:

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