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Synchronization of the Networked System With Continuous and Impulsive Hybrid Communications

机译:具有连续和脉冲混合通信的网络系统同步

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Many networked systems display some kind of dynamics behaving in a style with both continuous and impulsive communications. The cooperation behaviors of these networked systems with continuous connected or impulsive connected or both connected topologies of communications are important to understand. This paper is devoted to the synchronization of the networked system with continuous and impulsive hybrid communications, where each topology of communication mode is not connected in every moment. Two kind of structures, i.e., fixed structure and switching structures, are taken into consideration. A general concept of directed spanning tree (DST) is proposed to describe the connectivity of the networked system with hybrid communication modes. The suitable Lyapunov functions are constructed to analyze the synchronization stability. It is showed that for fixed topology having a jointly DST, the networked system with continuous and impulsive hybrid communication modes will achieve asymptotic synchronization if the feedback gain matrix and the average impulsive interval are properly selected. The results are then extended to the switching case where the graph has a frequently jointly DST. Some simple examples are then given to illustrate the derived synchronization criteria.
机译:许多联网的系统以连续和脉冲通信的方式显示某种形式的动态。这些具有连续连接或脉冲连接或两个连接的通信拓扑的网络系统的协作行为非常重要。本文致力于通过连续和脉冲混合通信实现网络系统的同步,在这种情况下,通信模式的每个拓扑并非时刻都处于连接状态。考虑了两种结构,即固定结构和交换结构。提出了有向生成树(DST)的一般概念来描述具有混合通信模式的联网系统的连通性。构建适当的Lyapunov函数以分析同步稳定性。结果表明,对于具有联合DST的固定拓扑,如果正确选择反馈增益矩阵和平均脉冲间隔,则具有连续和脉冲混合通信模式的网络系统将实现渐近同步。然后,将结果扩展到图形具有频繁联合DST的切换情况。然后给出一些简单的例子来说明导出的同步标准。

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