Pinning synchronization of time-varying polytopic directed stochastic networks

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)439-447
Journal / PublicationPhysics Letters, Section A: General, Atomic and Solid State Physics
Issue number3
Publication statusPublished - 4 Jan 2010


In this Letter, pinning synchronization of a directed network with Markovian jump (DNMJ) and nonlinear perturbations is considered. By analyzing the structure of the network, a detailed pinning scheme is given to ensure the synchronization of all nodes in a DNMJ. This pinning scheme can overcome those difficulties on deciding which nodes needs to be pinned. This scheme can also identify the exact least number of pinned nodes for a DNMJ model. In addition, the time-varying polytopic directed network with Markovian jump is discussed. Finally, examples are provided to illustrate the effectiveness of the gained criteria. © 2009 Elsevier B.V. All rights reserved.

Research Area(s)

  • Directed networks, Graph Laplacian, Markovian jump, Pinning scheme, Synchronization, Time-varying polytopic networks