On PID control for synchronization of complex dynamical network with delayed nodes

被引：0
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作者：
GU HaiBo [1 ,2 ]
L JinHu [1 ,2 ,3 ]
LIN ZongLi [4 ]
机构：
[1] Key Laboratory of Systems and Control,Academy of Mathematics and Systems Science,Chinese Academy of Sciences
[2] School of Mathematical Sciences,University of Chinese Academy of Sciences
[3] School of Automation Science and Electrical Engineering,State Key Laboratory of Software Development Environment,and Beijing Advanced Innovation Center for Big Data and Brain Machine Intelligence,Beihang University
[4] Charles LBrown Department of Electrical and Computer Engineering,University of
来源：
Science China(Technological Sciences) | 2019年 / 08期
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摘要：
Over the past two decades, synchronization, as an interesting collective behavior of complex dynamical networks, has been attracting much attention. To reveal and analyze the inherent mechanism of synchronization in complex dynamical networks with time delays in nodes, this paper attempts to use PD and PI control protocols to achieve synchronization. Based on a classical network model, we investigate the PD and PI control for synchronization of complex dynamical networks with delayed nodes and obtain some sufficient conditions. By using Lyapunov functions and appropriate state transformations, we prove that global synchronization can be achieved via the above control protocols. Finally, some simulation examples are illustrated to validate the effectiveness of the proposed theoretical results.
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页数：11
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