Pinning control and controllability of complex dynamical networks

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• 作者：Guanrong Chen
• 关键词：Complex network ; pinning control ; controllability ; linear time ; invariant (LTI) system ; temporally switching network ; graph theory
• 刊名：International Journal of Automation and Computing
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：14
• 期：1
• 页码：1-9
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Control, Robotics, Mechatronics; Computer Applications; Computer-Aided Engineering (CAD, CAE) and Design;
• 出版者：Institute of Automation, Chinese Academy of Sciences
• ISSN：1751-8520
• 卷排序：14

文摘

In this article, the notion of pinning control for directed networks of dynamical systems is introduced, where the nodes could be either single-input single-output (SISO) or multi-input multi-output (MIMO) dynamical systems, and could be non-identical and nonlinear in general but will be specified to be identical linear time-invariant (LTI) systems here in the study of network controllability. Both state and structural controllability problems will be discussed, illustrating how the network topology, node-system dynamics, external control inputs and inner dynamical interactions altogether affect the controllability of a general complex network of LTI systems, with necessary and sufficient conditions presented for both SISO and MIMO settings. To that end, the controllability of a special temporally switching directed network of linear time-varying (LTV) node systems will be addressed, leaving some more general networks and challenging issues to the end for research outlook.