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<p>This work explores the dissipativity and quasi-synchronization of a fuzzy memristive model with quaternion parameters and fractional derivatives. First, a fuzzy memristive model is presented through fuzzy logic. Second, by constructing innovative Lyapunov functional, the dissipativity and quasi-synchronization criteria are obtained in one-norm forms. As one knows, it is arduous to determine which is bigger between two quaternions, while in this paper, this topic is avoided by introducing the fuzzy terms, thus, in contrast to some existing results, this kind of treatment method is much easier to manipulate. Eventually, the corresponding numerical verification is carried out.</p>

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Dissipativity and quasi-synchronization of quaternion-valued fractional-order fuzzy memristive neural networks

  • 期刊论文

  • 发表日期：

    2025年5月25日

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  • Hongzhi Wei,
  • Ruoxia Li,
  • Xiaowei Zhang,
  • Zhengwen Tu

摘要

This work explores the dissipativity and quasi-synchronization of a fuzzy memristive model with quaternion parameters and fractional derivatives. First, a fuzzy memristive model is presented through fuzzy logic. Second, by constructing innovative Lyapunov functional, the dissipativity and quasi-synchronization criteria are obtained in one-norm forms. As one knows, it is arduous to determine which is bigger between two quaternions, while in this paper, this topic is avoided by introducing the fuzzy terms, thus, in contrast to some existing results, this kind of treatment method is much easier to manipulate. Eventually, the corresponding numerical verification is carried out.