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**Switched system approach to stabilization of networked control systems.**
*(English)*
Zbl 1244.93171

Summary: Stabilization problems of networked control systems (NCSs) with bounded packet losses and transmission delays are addressed. We model such NCSs as a class of switched systems, and establish stabilizing conditions in the form of matrix inequalities by using packet-loss dependent Lyapunov functions. By solving the inequalities, packet-loss dependent controllers are designed for two types of packet-loss processes: one is an arbitrary packet-loss process, and the other is a Markovian packet-loss process. Several numerical examples and simulations are worked out to demonstrate the effectiveness of the proposed design techniques.

### MSC:

93E15 | Stochastic stability in control theory |

93D15 | Stabilization of systems by feedback |

93C55 | Discrete-time control/observation systems |

### Keywords:

networked control systems; stabilization; multiple controllers; packet losses; transmission delays
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\textit{J. Yu} et al., Int. J. Robust Nonlinear Control 21, No. 17, 1925--1946 (2011; Zbl 1244.93171)

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