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H∞/Passive Synchronization of Semi-Markov Jump Neural Networks Subject to Hybrid Attacks via an Activation Function Division Approach

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Abstract

In this work, an H∞/passive-based secure synchronization control problem is investigated for continuous-time semi-Markov neural networks subject to hybrid attacks, in which hybrid attacks are the combinations of denial-of-service attacks and deception attacks, and they are described by two groups of independent Bernoulli distributions. On this foundation, via the Lyapunov stability theory and linear matrix inequality technology, the H∞/passive-based performance criteria for semi-Markov jump neural networks are obtained. Additionally, an activation function division approach for neural networks is adopted to further reduce the conservatism of the criteria. Finally, a simulation example is provided to verify the validity and feasibility of the proposed method.

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Authors and Affiliations

  1. School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan, 243002, China

    Ziwei Zhang

  2. Anhui Province Key Laboratory of Special Heavy Load Robot and School of Electrical and Information Engineering, Anhui University of Technology, Ma’anshan, 243002, China

    Hao Shen & Lei Su

Authors
  1. Ziwei Zhang
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  2. Hao Shen
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  3. Lei Su
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Corresponding author

Correspondence to Lei Su.

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The authors declare no conflict of interest.

Additional information

This paper was supported by the National Natural Science Foundation of China under Grant Nos. 62103005, 62173001, and 62273006, the Natural Science Foundation of Anhui Provincial Natural Science Foundation under Grant No. 2108085QF276, the Natural Science Foundation for Distinguished Young Scholars of Higher Education Institutions of Anhui Province under Grant No. 2022AH020034, the Natural Science Foundation for Excellent Young Scholars of Higher Education Institutions of Anhui Province under Grant No. 2022AH030049, 2023AH030030, 2022AH030049, the Major Technologies Research and Development Special Program of Anhui Province under Grant No. 202003a05020001, the Key Research and Development Projects of Anhui Province under Grant No. 202104a05020015.

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Zhang, Z., Shen, H. & Su, L. H∞/Passive Synchronization of Semi-Markov Jump Neural Networks Subject to Hybrid Attacks via an Activation Function Division Approach. J Syst Sci Complex 37, 1023–1036 (2024). https://doi.org/10.1007/s11424-024-3049-8

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  • DOI: https://doi.org/10.1007/s11424-024-3049-8

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