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Distributed tracking control of structural balance for complex dynamical networks based on the coupling targets of nodes and links
Complex & Intelligent Systems ( IF 5.0 ) Pub Date : 2022-08-04 , DOI: 10.1007/s40747-022-00840-4
Zilin Gao , Yongfu Li , Yinhe Wang , Qingshan Liu

In this paper, the complex dynamical networks (CDNs) with dynamic connections are regarded as an interconnected systems composed of intercoupling links’ subsystem (LS) and nodes’ subsystem (NS). Different from the previous researches on structural balance control of CDNs, the directed CDNs’ structural balance problem is solved. Considering the state of links cannot be measured accurately in practice, we can control the nodes’ state and enforce the weights of links to satisfy the conditions of structural balance via effective coupling. To achieve this aim, a coupling strategy between a predetermined matrix of the structural balance and a reference tracking target of NS is established by the correlative control method. Here, the controller in NS is used to track the reference tracking target, and indirectly let LS track the predetermined matrix and reach a structural balance by the effective coupling for directed and undirected networks. Finally, numerical simulations are presented to verify the theoretical results.



中文翻译:

基于节点和链路耦合目标的复杂动力网络结构平衡分布式跟踪控制

在本文中,具有动态连接的复杂动态网络(CDNs)被视为由互连链路子系统(LS)和节点子系统(NS)组成的互连系统。不同于以往对CDNs结构平衡控制的研究,解决了有向CDNs的结构平衡问题。考虑到在实际中无法准确测量链接的状态,我们可以通过有效耦合控制节点的状态并强制链接的权重以满足结构平衡的条件。为了实现这一目标,通过相关控制方法建立了结构平衡的预定矩阵与NS的参考跟踪目标之间的耦合策略。这里,NS中的控制器用于跟踪参考跟踪目标,并间接让LS跟踪预定矩阵并通过有向和无向网络的有效耦合达到结构平衡。最后,通过数值模拟验证了理论结果。

更新日期:2022-08-05
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