4.7 Article

Impulsive synchronisation of singular hybrid coupled networks with time-varying nonlinear perturbation

Journal

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 48, Issue 2, Pages 417-424

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2016.1186241

Keywords

Singular hybrid coupled networks; impulsive synchronisation; synchronising impulsive effects; globally exponential synchronisation

Funding

  1. National Natural Science Foundation of China [61573096, 61272530]
  2. 333 Engineering Foundation of Jiangsu Province of China [BRA2015286]

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The impulsive synchronisation of singular hybrid coupled systems with time-varying nonlinear perturbation is discussed in this paper. The synchronising impulsive effects are considered for singular hybrid coupled systems. A sufficient condition that ensures the synchronisation of singular impulsive dynamical networks is derived by applying a single pinning impulsive controller. Moreover, the convergence rate of the stability is estimated for the discussed dynamical network. Finally, simulation result is given to illustrate the effectiveness of the developed criteria.

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