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具有随机扰动和Markov切换的中立型耦合神经网络的自适应同步

张志姝 高燕

张志姝, 高燕. 具有随机扰动和Markov切换的中立型耦合神经网络的自适应同步[J]. 应用数学和力学, 2020, 41(12): 1381-1391. doi: 10.21656/1000-0887.410079
引用本文: 张志姝, 高燕. 具有随机扰动和Markov切换的中立型耦合神经网络的自适应同步[J]. 应用数学和力学, 2020, 41(12): 1381-1391. doi: 10.21656/1000-0887.410079
ZHANG Zhishu, GAO Yan. Adaptive Synchronization of Neutral-Type Coupled Neural Networks With Stochastic Perturbations and Markovian Jumpings[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1381-1391. doi: 10.21656/1000-0887.410079
Citation: ZHANG Zhishu, GAO Yan. Adaptive Synchronization of Neutral-Type Coupled Neural Networks With Stochastic Perturbations and Markovian Jumpings[J]. Applied Mathematics and Mechanics, 2020, 41(12): 1381-1391. doi: 10.21656/1000-0887.410079

具有随机扰动和Markov切换的中立型耦合神经网络的自适应同步

doi: 10.21656/1000-0887.410079
详细信息
    作者简介:

    张志姝(1993—),女,硕士(E-mail: zzs66834522@163.com);高燕(1985—),女,讲师,博士,硕士生导师(通讯作者. E-mail: gy@sues.edu.cn).

  • 中图分类号: O175

Adaptive Synchronization of Neutral-Type Coupled Neural Networks With Stochastic Perturbations and Markovian Jumpings

  • 摘要: 研究了具有时变时滞和随机扰动的中立型神经网络的自适应同步问题.随机扰动用Brown运动来描述.通过Lyapunov稳定性理论,利用了LMI分析技巧和矩阵理论,研究了具有随机扰动和Markov切换的中立型神经网络的自适应同步,给出并证明了使系统同步的充分条件,得出了具有时变时滞和随机扰动的中立型神经网络的自适应同步的判据.最后,给出数值例子来说明理论结果的有效性.
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出版历程
  • 收稿日期:  2020-03-16
  • 修回日期:  2020-04-27
  • 刊出日期:  2020-12-01

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