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Adaptive feedback synchronisation of complex dynamical network with discrete-time communications and delayed nodes

Author

Listed:
  • Tong Wang
  • Yongsheng Ding
  • Lei Zhang
  • Kuangrong Hao

Abstract

This paper considered the synchronisation of continuous complex dynamical networks with discrete-time communications and delayed nodes. The nodes in the dynamical networks act in the continuous manner, while the communications between nodes are discrete-time; that is, they communicate with others only at discrete time instants. The communication intervals in communication period can be uncertain and variable. By using a piecewise Lyapunov–Krasovskii function to govern the characteristics of the discrete communication instants, we investigate the adaptive feedback synchronisation and a criterion is derived to guarantee the existence of the desired controllers. The globally exponential synchronisation can be achieved by the controllers under the updating laws. Finally, two numerical examples including globally coupled network and nearest-neighbour coupled networks are presented to demonstrate the validity and effectiveness of the proposed control scheme.

Suggested Citation

  • Tong Wang & Yongsheng Ding & Lei Zhang & Kuangrong Hao, 2016. "Adaptive feedback synchronisation of complex dynamical network with discrete-time communications and delayed nodes," International Journal of Systems Science, Taylor & Francis Journals, vol. 47(11), pages 2563-2571, August.
    • Handle: RePEc:taf:tsysxx:v:47:y:2016:i:11:p:2563-2571
    DOI: 10.1080/00207721.2014.999731
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