## Analysis and design of networked control systems with random Markovian delays and uncertain transition probabilities.(English)Zbl 1406.93263

Summary: This paper focuses on the stability issue of discrete-time networked control systems with random Markovian delays and uncertain transition probabilities, wherein the random time delays exist in the sensor-to-controller and controller-to-actuator. The resulting closed-loop system is modeled as a discrete-time Markovian delays system governed by two Markov chains. Using Lyapunov stability theory, a result is established on the Markovian structure and ensured that the closed-loop system is stochastically stable. A simulation example illustrates the validity and feasibility of the results.

### MSC:

 93D15 Stabilization of systems by feedback 93E15 Stochastic stability in control theory 93C55 Discrete-time control/observation systems
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### References:

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