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A general approach for synchronisation of nonlinear networked systems with switching topology

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  • Lei Wang
  • Qing-Guo Wang

Abstract

This article investigates synchronisation of a nonlinear networked system with switching topology. By defining a common synchronisation manifold for each possible switching topology, exponential synchronisation of a nonlinear networked system can be assessed by the exponential stability of a reduced nonlinear system corresponding to the concerned system, wherein the communication graph can be directed and weighted and the inner-linking matrix might be singular. In particular, a synchronisation criterion consisting of the self-dynamics of isolated nodes and the consensus dynamics of a linear switched system is given. Two numerical simulations of synchronisation are presented to illustrate the effectiveness of the analytical results for the periodic and random switching cases.

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  • Lei Wang & Qing-Guo Wang, 2013. "A general approach for synchronisation of nonlinear networked systems with switching topology," International Journal of Systems Science, Taylor & Francis Journals, vol. 44(12), pages 2199-2210.
    • Handle: RePEc:taf:tsysxx:v:44:y:2013:i:12:p:2199-2210
    DOI: 10.1080/00207721.2012.685203
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    Cited by:

    1. Hassan Ghiti Sarand & Bahram Karimi, 2016. "Synchronisation of high-order MIMO nonlinear systems using distributed neuro-adaptive control," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(9), pages 2214-2224, July.

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