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Stochastic optimal control and analysis of stability of networked control systems with long delay. (English) Zbl 1175.93240
Summary: This paper generalizes well-known results to the case that network-induced delay is longer than a sampling period. The mathematical model of networked control systems whose network-induced delay is longer than a sampling period is given on this paper, when the sensor is time driven and the controller is event driven. The stochastic optimal controllers of such an networked control systems are designed. The separation theorem is proved to still hold in such networked control systems.

MSC:
93E20 Optimal stochastic control
93C55 Discrete-time control/observation systems
93D20 Asymptotic stability in control theory
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