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Asymptotic stability for quaternion-valued fuzzy BAM neural networks via integral inequality approach

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  • Zhang, Zhengqiu
  • Yang, Zhen

Abstract

The existence-uniqueness (EU) and globally asymptotic stability (GAS) of equilibrium solutions (ESS) for a class of quaternion-valued fuzzy BAM neural networks (QVFBAMNNS) with delays are concerned. Firstly, by using Homeomorphism theorem (HT) and by using the properties of unary high degree inequality, a sufficient condition ensuring the EU of ESS of the concerned QVFBAMNNS is achieved. Then, without utilizing V′(t)≤0, by applying integral inequality approach (IIA), a condition assuring the GAS of ESS for above networks is achieved. Utilizing the properties of high degree inequality studies the EU of ESS and utilizing IIA studies the GAS for neural networks (NNS) are new research approaches.

Suggested Citation

  • Zhang, Zhengqiu & Yang, Zhen, 2023. "Asymptotic stability for quaternion-valued fuzzy BAM neural networks via integral inequality approach," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001285
    DOI: 10.1016/j.chaos.2023.113227
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    Cited by:

    1. Jibin Yang & Xiaohui Xu & Quan Xu & Haolin Yang & Mengge Yu, 2024. "Stability and Synchronization of Delayed Quaternion-Valued Neural Networks under Multi-Disturbances," Mathematics, MDPI, vol. 12(6), pages 1-26, March.
    2. Shichao Jia & Cheng Hu & Haijun Jiang, 2023. "Fixed/Preassigned-Time Synchronization of Fully Quaternion-Valued Cohen–Grossberg Neural Networks with Generalized Time Delay," Mathematics, MDPI, vol. 11(23), pages 1-20, November.

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