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Exponential synchronization for second-order nonlinear systems in complex dynamical networks with time-varying inner coupling via distributed event-triggered transmission strategy

机译:通过分布式事件触发传输策略与时变内耦合的复杂动态网络中二阶非线性系统的指数同步

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摘要

This paper focuses on the exponential synchronization problem of complex dynamical networks (CDNs) with time-varying inner coupling via distributed event-triggered transmission strategy. Information update is driven by properly defined event, which depends on the measurement error. Each node is described as a second-order nonlinear dynamic system and only exchanges information with its neighboring nodes over a directed network. Suppose that the network communication topology contains a directed spanning tree. A sufficient condition for achieving exponential synchronization of second-order nonlinear systems in CDNs with time-varying inner coupling is derived. Detailed theoretical analysis on exponential synchronization is performed by the virtues of algebraic graph theory, distributed event-triggered transmission strategy, matrix inequality and the special Lyapunov stability analysis method. Moreover, the Zeno behavior is excluded as well by the strictly positive sampling intervals based on the upper right-hand Dini derivative. It is noted that the amount of communication among network nodes and network congestion have been significantly reduced so as to avoid the waste of network resources. Finally, a simulation example is given to show the effectiveness of the proposed exponential synchronization criteria.
机译:本文侧重于复杂动态网络(CDN)的指数同步问题,通过分布式事件触发的传输策略与时变内耦合。信息更新由正确定义的事件驱动,这取决于测量错误。每个节点被描述为二阶非线性动态系统,并且仅通过定向网络与其相邻节点交换信息。假设网络通信拓扑包含一个定向的生成树树。推导出具有时变内耦合的CDN中二阶非线性系统的指数同步的充分条件。通过代数图理论,分布式事件触发传输策略,矩阵不等式和特殊Lyapunov稳定性分析方法来执行关于指数同步的详细的理论分析。此外,基于右上方的Dini衍生物的严格的积极采样间隔,ZENO行为也被排除在外。注意,网络节点和网络拥塞之间的通信量显着减少,以避免浪费网络资源。最后,给出了模拟示例以显示提出的指数同步标准的有效性。

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