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Neural Computing and Applications

, Volume 31, Issue 12, pp 9279–9294 | Cite as

Intermittent pinning synchronization of reaction–diffusion neural networks with multiple spatial diffusion couplings

  • Xiaona Song
  • Mi Wang
  • Shuai Song
  • Zhen WangEmail author
Original Article

Abstract

This paper addresses the intermittent pinning synchronization problem of spatial diffusion coupled reaction–diffusion neural networks (RDNNs). Initially, the synchronization error signals are quantized before transmission to save both channel resource and control cost. Subsequently, utilizing intermittent pinning control scheme, only a small fraction of network nodes are selected to be controlled in various time periods, which further reduces the control cost. On the basis of the constructed controller, sufficient conditions that guarantee the synchronization of the coupled RDNNs are derived via Lyapunov direct method. Finally, the efficacy of the developed control approach is demonstrated by numerical simulation studies of three examples.

Keywords

Intermittent control Pinning synchronization Reaction–diffusion neural networks Spatial diffusion coupling 

Notes

Acknowledgements

Project is supported by National Natural Science Foundation of China (No. U1604146), Science and Technology Research Project in Henan Province (No. 162102410024), Foundation for the University Technological Innovative Talents of Henan Province (No. 18HASTIT019). The authors declare that there is no conflict of interest regarding the publication of this paper.

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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of Information EngineeringHenan University of Science and TechnologyLuoyangChina
  2. 2.School of AutomationNanjing University of Science and TechnologyNanjingChina
  3. 3.College of Mathematics and Systems ScienceShandong University of Science and TechnologyQingdaoChina

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