Synchronization of complex-valued dynamic networks with intermittently adaptive coupling: A direct error method
Synchronization of complex-valued dynamic networks with intermittently adaptive coupling: A direct error method
复制标题
具有间歇自适应耦合的复值动态网络的同步：一种直接误差方法
DOI：
10.1016/j.automatica.2019.108675
复制
发表时间：
2020-02-01
期刊：
影响因子：
6.4
通讯作者：
Jiang, Haijun
中科院分区：
文献类型：
--
作者：
Hu, Cheng;He, Haibo;Jiang, Haijun
在本文中，介绍了间歇性耦合的复合物值网络（ICCVN）的模型，以揭示间歇耦合的机制，其中节点仅在不连续的时间内连接。通过提出直接错误方法并构建分段Lyapunov功能，开发了几种间歇性自适应设计，以更新复杂值的耦合权重，而不是通用加权平均技术。尤其是，适用于具有异质耦合权重的ICCVN的自适应固定协议，并通过分组调整跨越树中的复杂值的边缘来确保同步。对于具有均匀耦合权重的ICCVN，基于连接的主导集，开发了一种间歇性自适应算法，这仅取决于与邻居的主导集合的信息。最后，通过提供两个数值示例来验证已建立的理论结果。 （c）2019 Elsevier Ltd.保留所有权利。
In this paper, the models of intermittently coupled complex-valued networks (ICCVNs) are presented to reveal the mechanism of intermittent coupling, where the nodes are connected merely in discontinuous time durations. Instead of the common weighted average technique, by proposing a direct error method and constructing piecewise Lyapunov functions, several intermittently adaptive designs are developed to update the complex-valued coupling weights. Especially, an adaptive pinning protocol is designed for ICCVNs with heterogeneous coupling weights and the synchronization is ensured by piecewise adjusting the complex-valued weights of edges within a spanning tree. For ICCVNs with homogeneous coupling weights, based on a connected dominating set, an intermittently adaptive algorithm is developed which just depends on the information of the dominating set with their neighbors. At the end, the established theoretical results are verified by providing two numerical examples. (C) 2019 Elsevier Ltd. All rights reserved.