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

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  • Wenjun Xiong
  • Dan Zhang
  • Jinde Cao

Abstract

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.

Suggested Citation

  • Wenjun Xiong & Dan Zhang & Jinde Cao, 2017. "Impulsive synchronisation of singular hybrid coupled networks with time-varying nonlinear perturbation," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 417-424, January.
    • Handle: RePEc:taf:tsysxx:v:48:y:2017:i:2:p:417-424
    DOI: 10.1080/00207721.2016.1186241
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    Cited by:

    1. Yang, Xueyan & Peng, Dongxue & Lv, Xiaoxiao & Li, Xiaodi, 2019. "Recent progress in impulsive control systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 244-268.

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