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

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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.

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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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Authors and Affiliations

  1. School of Information Engineering, Henan University of Science and Technology, Luoyang, 471023, China

    Xiaona Song & Mi Wang

  2. School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China

    Shuai Song

  3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China

    Zhen Wang

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  1. Xiaona Song
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  2. Mi Wang
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  4. Zhen Wang
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Correspondence to Zhen Wang.

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Song, X., Wang, M., Song, S. et al. Intermittent pinning synchronization of reaction–diffusion neural networks with multiple spatial diffusion couplings. Neural Comput & Applic 31, 9279–9294 (2019). https://doi.org/10.1007/s00521-019-04254-1

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  • DOI: https://doi.org/10.1007/s00521-019-04254-1

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