Guanrong ChenPinning Control and Controllability of Complex Dynamical Networks. International Journal of Automation and Computing, vol. 14, no. 1, pp. 1-9, 2017. DOI: 10.1007/s11633-016-1052-9
Citation: Guanrong ChenPinning Control and Controllability of Complex Dynamical Networks. International Journal of Automation and Computing, vol. 14, no. 1, pp. 1-9, 2017. DOI: 10.1007/s11633-016-1052-9

Pinning Control and Controllability of Complex Dynamical Networks

  • 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.
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