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Synchronization in Fixed Time for Reaction–Diffusion Quaternion-Valued NNs with Nonlinear Interconnected Protocol and Its Application

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Abstract

This paper makes an interesting attempt to interconnect N quaternion-valued neural networks (QVNNs) with reaction–diffusion items by a nonlinear coupling protocol, which generates a meaningful issue of synchronization for the N subsystems. By designing a novel nonlinear feedback controller, the N subsystems can be synchronized in a fixed time, which is more efficient and practical than asymptotic synchronization. Based on the Lyapunov functional theory and fixed-time stability criterion, and by employing suitable inequality techniques, the fixed-time synchronization theorem of the nonlinear interconnected QVNNs with reaction–diffusion terms can be obtained. Furthermore, an application example that applies the main results to secure communication is provided, and the effectiveness and superiority of the proposed cryptosystem can be illustrated through comparisons.

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Acknowledgements

The research is supported by National Natural Science Foundation of China (No. 61976081), Henan Province Science Fund for Excellent Young Scholars (No. 202300410127), and the Scientific and Technological Innovation Leaders in Central Plains (No. 194200510012).

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Authors and Affiliations

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

    Jingtao Man & Xiaona Song

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

    Shuai Song

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  1. Jingtao Man
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Correspondence to Xiaona Song.

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Man, J., Song, X. & Song, S. Synchronization in Fixed Time for Reaction–Diffusion Quaternion-Valued NNs with Nonlinear Interconnected Protocol and Its Application. Neural Process Lett 53, 4011–4036 (2021). https://doi.org/10.1007/s11063-021-10579-7

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