| 基于自适应控制的四元数时滞神经网络的有限时间同步 |
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| 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. |
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| 作者姓名： | 赵玮 任凤丽 |
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| 作者单位： | 南京航空航天大学 数学系，南京 211106 |
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| 基金项目： | 国家自然科学基金(61104031)。 |
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| 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.
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| 关 键 词： | 时滞神经网络 有限时间同步 自适应控制 四元数 |
| 收稿时间： | 2021-02-18 |
Finite Time Adaptive Synchronization of Quaternion-Value Neural Networks With Time Delays |
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| 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. |
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| Authors: | ZHAO Wei REN Fengli |
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| Institution: | Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, P.R.China |
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| Abstract: | This paper is concerned with the finite time synchronization of quaternion-value neural networks with time delays. Based on finite time control technique, the protocol of adaptive control is first proposed. Then by utilizing Lyapunov function method and inequalities skills, some sufficient conditions are derived to ensuring master systems and slave systems achieved synchronization in finite time, the settling time can also be theoretically given. Finally, the numerical simulation on quaternion-value neural networks with time delays is included to show the effectiveness of the theorem. |
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| Keywords: | neural network finite time synchronization adaptive control quaternion |
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