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<p>This paper explores the key concept of quasi-projective synchronization on delayed quaternion-valued fractional-order fuzzy cellular neural networks, a key topic in the field. Our work leverages the properties of the Mittag-Leffler function (a key mathematical tool in fractional-order calculus) and analytical techniques involving inequalities to design a suitable controller and derive a quasi-projective synchronization criterion for the error system. Furthermore, we compute the quasi-state estimation conditions for quasi-projective synchronization and demonstrate the potential application of our theoretical results to color image encryption through numerical examples, providing new interdisciplinary research avenues for information security.</p>

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Quasi-projective synchronization of fractional-order quaternion fuzzy cellular neural networks with applications to image encryption

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Zhouhong Li,
  • Xiaofang Meng,
  • Congyue Bi,
  • Jinde Cao

摘要

This paper explores the key concept of quasi-projective synchronization on delayed quaternion-valued fractional-order fuzzy cellular neural networks, a key topic in the field. Our work leverages the properties of the Mittag-Leffler function (a key mathematical tool in fractional-order calculus) and analytical techniques involving inequalities to design a suitable controller and derive a quasi-projective synchronization criterion for the error system. Furthermore, we compute the quasi-state estimation conditions for quasi-projective synchronization and demonstrate the potential application of our theoretical results to color image encryption through numerical examples, providing new interdisciplinary research avenues for information security.