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具有随机扰动和不确定性的中立型耦合神经网络有限时间同步

王柯杰 陈巧玉 童东兵 毛琦

王柯杰, 陈巧玉, 童东兵, 毛琦. 具有随机扰动和不确定性的中立型耦合神经网络有限时间同步[J]. 应用数学和力学, 2023, 44(4): 480-488. doi: 10.21656/1000-0887.420411
引用本文: 王柯杰, 陈巧玉, 童东兵, 毛琦. 具有随机扰动和不确定性的中立型耦合神经网络有限时间同步[J]. 应用数学和力学, 2023, 44(4): 480-488. doi: 10.21656/1000-0887.420411
WANG Kejie, CHEN Qiaoyu, TONG Dongbing, MAO Qi. Finite-Time Synchronization of Coupled Neutral-Type Neural Networks With Stochastic Disturbances and Uncertainties[J]. Applied Mathematics and Mechanics, 2023, 44(4): 480-488. doi: 10.21656/1000-0887.420411
Citation: WANG Kejie, CHEN Qiaoyu, TONG Dongbing, MAO Qi. Finite-Time Synchronization of Coupled Neutral-Type Neural Networks With Stochastic Disturbances and Uncertainties[J]. Applied Mathematics and Mechanics, 2023, 44(4): 480-488. doi: 10.21656/1000-0887.420411

具有随机扰动和不确定性的中立型耦合神经网络有限时间同步

doi: 10.21656/1000-0887.420411
基金项目: 

上海市自然科学基金项目 20ZR1422400

详细信息
    作者简介:

    王柯杰(1996—), 男, 硕士生(E-mail:wangkejie0307@163.com)

    童东兵(1979—), 男, 教授, 博士(E-mail:tongdongbing@163.com)

    毛琦(1985—), 男, 讲师, 博士(E-mail:asdenglish@126.com)

    通讯作者:

    陈巧玉(1984—), 女, 副教授, 博士(通讯作者. E-mail:goodluckqiaoyu@126.com)

  • 中图分类号: O357.41

Finite-Time Synchronization of Coupled Neutral-Type Neural Networks With Stochastic Disturbances and Uncertainties

  • 摘要: 研究了具有时滞、不确定性和随机扰动的中立型耦合神经网络的有限时间同步问题.在Lyapunov稳定性理论的基础上,结合不等式技术得到了有限时间同步判据.接着构造合适的状态反馈控制器,使主从系统实现了有限时间同步.最后,通过一个数值仿真验证了所提出理论的有效性.
  • 图  1  系统耦合结构图

    Figure  1.  The coupling structure diagram for the error system

    图  2  随机噪声

    Figure  2.  Random noises

    图  3  无控制器作用下的误差系统状态轨迹

    Figure  3.  State trajectories of the error system

    图  4  控制器(5)作用下的误差系统状态轨迹

    Figure  4.  State trajectories of the error system with controller (5)

    图  5  控制输入

      为了解释图中的颜色,读者可以参考本文的电子网页版本.

    Figure  5.  Control inputs

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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. (in Chinese) doi: 10.21656/1000-0887.420068
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    WEI Yuheng, TONG Dongbing, CHEN Qiaoyu. Fault estimation for nonlinear systems based on intermediate estimators[J]. Applied Mathematics and Mechanics, 2021, 42(11): 1213-1220. (in Chinese) doi: 10.21656/1000-0887.410335
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出版历程
  • 收稿日期:  2021-12-30
  • 修回日期:  2022-03-21
  • 刊出日期:  2023-04-01

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