2009 | OriginalPaper | Buchkapitel
Stability of Non-diagonalizable Networks: Eigenvalue Analysis
verfasst von : Linying Xiang, Zengqiang Chen, Jonathan J. H. Zhu
Erschienen in: Complex Sciences
Verlag: Springer Berlin Heidelberg
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The stability of non-diagonalizable networks of dynamical systems are investigated in detail based on eigenvalue analysis. Pinning control is suggested to stabilize the synchronization state of the whole coupled network. The complicated coupled problem is reduced to two independent problems: clarifying the stable region of the modified system and specifying the eigenvalue distribution of the coupling and control matrix. The dependence of the stability on both pinning density and pinning strength is studied.