Pinning control and controllability of complex dyn

Authors: Guanrong Chen

Publish Date: 2016/12/29

Volume: 14, Issue: 1, Pages: 1-9

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Abstract

In this article the notion of pinning control for directed networks of dynamical systems is introduced where the nodes could be either singleinput singleoutput SISO or multiinput multioutput MIMO dynamical systems and could be nonidentical and nonlinear in general but will be specified to be identical linear timeinvariant LTI systems here in the study of network controllability Both state and structural controllability problems will be discussed illustrating how the network topology nodesystem 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 timevarying LTV node systems will be addressed leaving some more general networks and challenging issues to the end for research outlookGuanrong Chen is a chair professor and the director of the Centre for Chaos and Complex Networks at the City University of Hong Kong China He was elected a Fellow of the IEEE in 1997 awarded the 2011 Euler Gold Medal from Russia and conferred Honorary Doctor Degrees by the Saint Petersburg State University Russia in 2011 and by the University of Normandy France in 2014 He is a Highly Cited Researcher in Engineering since 2009 in Physics 2014 and also in Mathematics 2015 according to Thomson Reuters He is a member of the Academy of Europe 2014 and a Fellow of TheWorld Academy of Sciences 2015

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