具有量化脉冲效应的时滞混杂动态网络同步分析

Synchronization analysis of delayed hybrid dynamical networks with quantized impulsive effects

中文关键词  混杂系统  同步  脉冲效应  量化控制

英文关键词  hybrid systems  synchronization  impulsive effects  quantized control

中文摘要

      研究了具有量化脉冲效应的时滞混杂动态网络的同步动力学, 利用偏收缩理论和矩阵测度概念, 并结合量化器的特征, 提出了网络节点实现同步的一般性条件. 与以往大多数基于Lyapunov稳定性方法所提出的结果不同, 利用本文的方法可以消除单个节点和网络耦合中的非线性函数的限制性假设, 从而降低保守性. 本文突出的特征就是综合了网络节点和耦合拓扑中的多重时滞影响和脉冲行为, 并且考虑了脉冲效应在网络传输中的有限通信能力问题, 具有实际意义. 最后, 通过对Lorenz混沌系统作为网络节点的混杂动态网络进行数值模拟, 验证了所得结果的有效性.

英文摘要

      This paper focuses on the synchronization dynamics of delayed hybrid dynamical networks with quantized impulsive effects. Based on partial contraction theory and matrix measure concept, several unified criteria for network synchronization are presented by combining the feature of quantizer. Being different from most of those results in the framework of Lyapunov stability method, the approach in this paper can remove the limitation on the nonlinear function of single node and network coupling term, thus resulting in reducing the conservativeness. The most significant feature of this paper lies in synthesizing multiple delays and impulsive effects in network node and coupling terms. Moreover, the obtained results possess practical significance because of considering the limited communication capability with impulsive effects in network transmission. Finally, numerical simulations for hybrid dynamical networks consisting of Lorenz chaotic systems as network nodes are presented to illustrate the effectiveness of the proposed results.