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

Wang, L.
Wang, Q.-G.
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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. © 2013 Copyright Taylor and Francis Group, LLC.
Keywords
consensus, exponential synchronisation, nonlinear networked systems, switching topology
Source Title
International Journal of Systems Science
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Date
2013-12-01
DOI
10.1080/00207721.2012.685203
Type
Article
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