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Pinning Synchronization of Nonlinear and Delayed Coupled Neural Networks with Multi-weights via Aperiodically Intermittent Control

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Abstract

This paper deals with the synchronization issues of delayed neural networks with multi-weights under aperiodically intermittent pinning control. There are three main differences of this paper with previous works: firstly, aperiodically intermittent pinning control scheme is used to synchronize the proposed neural networks; secondly, the model is delayed neural networks with multi-weights, which have several different sorts of weights between two nodes; thirdly, internal delay and multi-coupling delays are considered simultaneously. By establishing new nonlinear inequalities and constructing Lyapunov function, several sufficient criteria are derived to guarantee exponential synchronization for the proposed neural network models. Moreover, an effective pinned-node selection scheme which determines what kind of nodes should be prior controlled is provided. Finally, two illustrative examples are presented to demonstrate the effectiveness of the theoretical results.

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Acknowledgements

The authors would like to thank the associate editor and the anonymous reviewers for their insightful suggestions. This work was supported in parts by the National Natural Science Foundation of China under Grants 61472257, 61603260 and 61273220, and the Postdoctoral Science Foundation of China under Grant 2016M590811.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, People’s Republic of China

    Chengbo Yi, Jianwen Feng, Jingyi Wang, Chen Xu, Yi Zhao & Yanhong Gu

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  1. Chengbo Yi
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  2. Jianwen Feng
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  3. Jingyi Wang
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  4. Chen Xu
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  5. Yi Zhao
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  6. Yanhong Gu
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Correspondence to Jianwen Feng or Jingyi Wang.

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Yi, C., Feng, J., Wang, J. et al. Pinning Synchronization of Nonlinear and Delayed Coupled Neural Networks with Multi-weights via Aperiodically Intermittent Control. Neural Process Lett 49, 141–157 (2019). https://doi.org/10.1007/s11063-018-9784-x

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