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Fixed-time passivity of coupled quaternion-valued neural networks with multiple delayed couplings

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Abstract

This paper investigates the fixed-time passivity of coupled quaternion-valued neural networks (CQVNNs) with multiple delayed couplings. Different from the finite-time passivity proposed in Wang et al. (IEEE Trans Cybern 50(5):2014–2025, 2020), a novel concept of fixed-time passivity is considered in this paper, where the settling time is independent on initial value. Compared with the existing literature, in this work we extend the passivity problem of CNNs from real field to quaternion field. In particular, the multiple coupling delays and discontinuous activation functions are considered, which have not been investigated in previous papers yet. By designing appropriate controllers and applying inequality technique, sufficient conditions are obtained correspondingly for three different types of fixed-time passivity of CQVNNs. Finally, simulations are given to substantiate the correctness of the theoretical results.

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Acknowledgements

The authors extend their appreciation to the Deputyship for Research and Innovation, Ministry of Education in Saudi Arabia for funding this research work through the project number (IFPIP: 59-611-1442) and King Abdulaziz University, DSR, Jeddah, Saudi Arabia.

Funding

This research was supported by Natural Science Foundation of Jiangsu Province under Grant No. BK20210635; Key Project of Natural Science Foundation of China (No. 61833005).

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Author notes

  1. Jinde Cao and Fawaz E Alsaadi have contributed equally to this work.

Authors and Affiliations

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Ruoyu Wei

  2. School of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao

  3. Yonsei Frontier Lab, Yonsei University, Seoul, 03722, South Korea

    Jinde Cao

  4. Department of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah, 610101, Saudi Arabia

    Fawaz E Alsaadi

Authors
  1. Ruoyu Wei
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  2. Jinde Cao
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  3. Fawaz E Alsaadi
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Contributions

All authors contributed to the study conception. Theoretical analysis and simulations were performed by RW and JC. The first draft of the manuscript was written by RW. All authors read and approved the final manuscript.

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Correspondence to Ruoyu Wei.

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Wei, R., Cao, J. & Alsaadi, F.E. Fixed-time passivity of coupled quaternion-valued neural networks with multiple delayed couplings. Soft Comput 27, 8959–8970 (2023). https://doi.org/10.1007/s00500-022-07500-2

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