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On Impulsive Synchronization Control for Coupled Inertial Neural Networks with Pinning Control

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Abstract

The impulsive control for the synchronization problem of coupled inertial neural networks involved distributed-delay coupling is investigated in the present paper. A novel impulsive pinning control method is introduced to obtain the complete synchronization of the coupled inertial neural networks with three different coupling structures. At each impulsive control instant, the pinning-controlled nodes can be selected according to our selection strategy which is dependent on the lower bound of the pinning control ratio. Our criteria can be utilized to declare the synchronization of the coupled neural networks with asymmetric and reducible coupling structures. The effectiveness of our control strategy is exhibited by typical numerical examples.

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Acknowledgements

Tianhu Yu was supported by National Natural Science Foundation of China (No. 11902137) and China Postdoctoral Science Foundation (No. 2019M651633); Huamin Wang was supported by National Nature Science Foundation of China(Grant Nos. 61503175, U1804158) and Science and Technology Department Program of Henan Province (Grant No. 172102210407); Jinde Cao was supported by Key Project of Natural Science Foundation of China (No. 61833005); Yang Yang is supported by National Natural Science Foundation of China (No. 11702228).

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Authors and Affiliations

  1. School of Mathematics, Southeast University, Nanjing, 210096, People’s Republic of China

    Tianhu Yu & Jinde Cao

  2. Department of Mathematics, Luoyang Normal University, Luoyang, 471934, People’s Republic of China

    Tianhu Yu & Huamin Wang

  3. School of Mechanical Engineering, Southwest Jiaotong University, Chengdu, 610031, People’s Republic of China

    Yang Yang

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  1. Tianhu Yu
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  4. Yang Yang
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Correspondence to Jinde Cao.

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Yu, T., Wang, H., Cao, J. et al. On Impulsive Synchronization Control for Coupled Inertial Neural Networks with Pinning Control. Neural Process Lett 51, 2195–2210 (2020). https://doi.org/10.1007/s11063-019-10189-4

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