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基于自适应控制的四元数时滞神经网络的有限时间同步

赵玮 任凤丽

赵玮,任凤丽. 基于自适应控制的四元数时滞神经网络的有限时间同步 [J]. 应用数学和力学,2022,43(1):94-103 doi: 10.21656/1000-0887.420068
引用本文: 赵玮,任凤丽. 基于自适应控制的四元数时滞神经网络的有限时间同步 [J]. 应用数学和力学,2022,43(1):94-103 doi: 10.21656/1000-0887.420068
ZHAO Wei, REN Fengli. Finite Time Adaptive Synchronization of Quaternion-Value Neural Networks With Time Delays[J]. Applied Mathematics and Mechanics, 2022, 43(1): 94-103. doi: 10.21656/1000-0887.420068
Citation: ZHAO Wei, REN Fengli. Finite Time Adaptive Synchronization of Quaternion-Value Neural Networks With Time Delays[J]. Applied Mathematics and Mechanics, 2022, 43(1): 94-103. doi: 10.21656/1000-0887.420068

基于自适应控制的四元数时滞神经网络的有限时间同步

doi: 10.21656/1000-0887.420068
基金项目: 国家自然科学基金 (61104031)
详细信息
    作者简介:

    赵玮(1995—),男,硕士(E-mail: wzhao960@163.com)

    任凤丽(1978—),女,副教授,博士(通讯作者. E-mail: flren@nuaa.edu.cn)

  • 中图分类号: O357.41

Finite Time Adaptive Synchronization of Quaternion-Value Neural Networks With Time Delays

  • 摘要:

    文章主要研究了自适应控制下四元数时滞神经网络的有限时间完全同步,通过设计一组有效新颖的自适应控制器,使得主从系统实现有限时间同步,并计算出停息时间的理论估计。利用Lyapunov函数方法和不等式技巧,给出了四元数时滞神经网络主从系统有限时间同步的充分条件。最后,通过数值仿真验证了所得理论结果的有效性。

  • 图  1  误差状态的实、虚部运动轨迹

    Figure  1.  The trajectories of the real,imaginary parts of errors

    图  2  自适应增益的实、虚部运动轨迹

    Figure  2.  The trajectories of the real,imaginary parts of adaptive gain

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  • 被引次数: 0
出版历程
  • 收稿日期:  2021-02-18
  • 修回日期:  2021-09-15
  • 网络出版日期:  2021-11-15
  • 刊出日期:  2022-01-01

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