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Quasi-projective synchronization of discrete-time BAM neural networks by discrete inequality techniques

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Abstract

In this paper, we primarily concentrate on the quasi-projective synchronization of master–slave discrete-time BAM neural networks. Without using the LMI and matrix measure methods, by applying discrete inequalities and the Lyapunov sequences, constructing a discrete inequality group, then solving the inequality group, two novel criteria to guarantee the quasi-projective synchronization are obtained for the considered networks. The controllers designed, the approach, and the results in the paper are fully novel, which advance the development of the study of synchronization of discrete neural networks.

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Acknowledgements

We are thankful to the reviewers for their constructive comments which help us to improve the manuscript. This work is supported by Hubei University of Technology Doctoral Research Launch Fund (Grant number: XJ2022001501) and Science and technology project of Jiangxi education department (Grant number: GJJ191115).

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  1. Zhen Yang and Zhengqiu Zhang are co-corresponding authors.

Authors and Affiliations

  1. School of Science, Hubei University of Technology, Wuhan, 430068, Hubei, China

    Zhen Yang

  2. School of General Education, Hunan University of Information Technology, Changsha, 410148, Hunan, China

    Zhengqiu Zhang

  3. School Mathematics and Information Science, Nanchang Normal University, Nanchang, 330032, Jiangxi, China

    Huaying Liao

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Yang, Z., Zhang, Z. & Liao, H. Quasi-projective synchronization of discrete-time BAM neural networks by discrete inequality techniques. Neural Comput & Applic 36, 7327–7341 (2024). https://doi.org/10.1007/s00521-024-09462-y

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