Pinning control and controllability of complex dynamical networks

被引:6
作者
Chen G. [1 ]
机构
[1] Department of Electronic Engineering, City University of Hong Kong
关键词
Complex network; controllability; graph theory; linear time-invariant (LTI) system; pinning control; temporally switching network;
D O I
10.1007/s11633-016-1052-9
中图分类号
学科分类号
摘要
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. © 2017, Institute of Automation, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
引用
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页码:1 / 9
页数:8
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