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New results on fixed/predefined-time synchronization of delayed fuzzy inertial discontinuous neural networks: Non-reduced order approach

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  • Zhang, Guodong
  • Cao, Jinde

Abstract

This paper focuses on the fixed/predefined-time synchronization control of drive-response fuzzy inertial discontinuous neural networks(FIDNNs) with distributed delays. By using non-smooth analysis, fixed/predefined-time stability lemmas and designing two new fixed/predefined-time feedback controllers, several novel results are given to get fixed-time synchronization(FTS) and predefined-time synchronization(PTS) for the proposed FIDNNs. The fixed/predefined-time results of this paper are derived directly from FIDNNs themselves without variables substitution method. Up until now, very few results are reported on non-reduced order approach to achieve FTS and PTS of FIDNNs with distributed delays. Finally, some simulations and applications are, respectively, carried out to expound the efficacy of the obtained new FTS and PTS criteria.

Suggested Citation

  • Zhang, Guodong & Cao, Jinde, 2023. "New results on fixed/predefined-time synchronization of delayed fuzzy inertial discontinuous neural networks: Non-reduced order approach," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    • Handle: RePEc:eee:apmaco:v:440:y:2023:i:c:s0096300322007391
    DOI: 10.1016/j.amc.2022.127671
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    Cited by:

    1. Wang, Shasha & Jian, Jigui, 2023. "Predefined-time synchronization of incommensurate fractional-order competitive neural networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Cheng, Tingting & Wang, Leimin & Wei, Zhouchao & Zhang, Guodong, 2024. "Fixed/preassigned-time stabilization of discontinuous switched systems with time-varying delays," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    3. Xue, Haibo & Liu, Xinghua, 2023. "A novel fast terminal sliding mode with predefined-time synchronization," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    4. Yu Yao & Guodong Zhang & Yan Li, 2023. "Fixed/Preassigned-Time Stabilization for Complex-Valued Inertial Neural Networks with Distributed Delays: A Non-Separation Approach," Mathematics, MDPI, vol. 11(10), pages 1-17, May.

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