Stochastic optimal control and analysis of stability of networked control systems with long delay.

*(English)*Zbl 1175.93240Summary: 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.

Reviewer: Messoud A. Efendiev (Berlin)

##### MSC:

93E20 | Optimal stochastic control |

93C55 | Discrete-time control/observation systems |

93D20 | Asymptotic stability in control theory |

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\textit{S. Hu} and \textit{Q. Zhu}, Automatica 39, No. 11, 1877--1884 (2003; Zbl 1175.93240)

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