Analysis of pinning-controlled networks : A renormalization approach

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Original languageEnglish
Pages (from-to)1869-1875
Journal / PublicationIEEE Transactions on Automatic Control
Issue number8
Publication statusPublished - 2009


In this paper, a renormalization approach is introduced for analyzing pinning-controlled networks. The renormalization process consists of two operations, edge weighting and node reduction, and is built on a new concept of passivity comparison in the sense of Lyapunov V-stability. Furthermore, a cascaded model resulted from the renormalization process in a layer structure is presented for estimating the V-stability of a network. Finally, simulation studies are presented for illustration and verification of the theoretical results. © 2009 IEEE.

Research Area(s)

  • Complex network, Layer, Lyapunov-stability, Passivity, Pinning control, Renormalization