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<p>In this paper, a class of quaternion-valued cellular neural networks (QVCNNS) with time-varying delays are considered. Combining graph theory with the continuation theorem of Mawhin’s coincidence degree theory as well as Lyapunov functional method, we establish new criteria on the existence and exponential stability of periodic solutions for QVCNNS by removing the assumptions for the boundedness on the activation functions and the assumptions that the values of the activation functions are zero at origin. Hence, our results are less conservative and new.</p>

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New criteria on the existence and global exponential stability of periodic solutions for quaternion-valued cellular neural networks

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Ai-ling Li,
  • Zheng Zhou,
  • Zheng-qiu Zhang

摘要

In this paper, a class of quaternion-valued cellular neural networks (QVCNNS) with time-varying delays are considered. Combining graph theory with the continuation theorem of Mawhin’s coincidence degree theory as well as Lyapunov functional method, we establish new criteria on the existence and exponential stability of periodic solutions for QVCNNS by removing the assumptions for the boundedness on the activation functions and the assumptions that the values of the activation functions are zero at origin. Hence, our results are less conservative and new.