Stabilization of linear systems over networks with bounded packet loss.

*(English)*Zbl 1140.93383Summary: This paper is concerned with the stabilization problem of networked control systems where the main focus is the packet-loss issue. Two types of packet-loss processes are considered. One is the arbitrary packet-loss process, the other is the Markovian packet-loss process. The stability conditions of networked control systems with both arbitrary and Markovian packet losses are established via a packet-loss dependent Lyapunov approach. The corresponding stabilizing controller design techniques are also given based upon the stability conditions. These results are also extended to the unit time delay case. Finally, the numerical example and simulations have demonstrated the usefulness of the developed theory.

##### MSC:

93B52 | Feedback control |

93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |

93C55 | Discrete-time control/observation systems |

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\textit{J. Xiong} and \textit{J. Lam}, Automatica 43, No. 1, 80--87 (2007; Zbl 1140.93383)

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##### References:

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