| 引用本文: | 何海滨,胡元发,郭志方,刘小洋.惯性忆阻神经网络固定时间抗干扰聚类同步控制[J].控制理论与应用,2022,39(11):2168~2176.[点击复制] |
| HE Hai-bin,HU Yuan-fa,GUO Zhi-fang,LIU Xiao-yang.Fixed-time anti-disturbance cluster synchronization of inertial memristive neural networks[J].Control Theory and Technology,2022,39(11):2168~2176.[点击复制] |
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| 惯性忆阻神经网络固定时间抗干扰聚类同步控制 |
| Fixed-time anti-disturbance cluster synchronization of inertial memristive neural networks |
| 摘要点击 901 全文点击 278 投稿时间：2021-08-29 修订日期：2022-10-22 |
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| DOI编号 10.7641/CTA.2022.10813 |
| 2022,39(11):2168-2176 |
| 中文关键词 惯性忆阻神经网络 聚类同步 固定时间 外部干扰 |
| 英文关键词 inertial memristive neural networks cluster synchronization fixed time disturbances |
| 基金项目 国家自然科学基金面上项目(62276119, 61877030), 江苏省研究生科研与实践创新计划项目(KYCX21 2634), 江苏师范大学研究生科研与实践创 新计划项目(2021XKT1395)资助. |
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| 中文摘要 |
| 本文研究了具有外部干扰的惯性忆阻神经网络固定时间聚类同步控制问题. 通过设计一类经济型的固定
时间控制器, 保证了耦合网络系统在固定时间内以较少的能量消耗实现聚类同步. 为提高网络的普适性, 文中神经
网络的激活函数为非连续函数. 基于Filippov解理论以及固定时间控制理论, 获得了耦合网络的同步性判据, 给出了
收敛时间的具体上界, 验证了网络抗干扰能力. 最后, 通过数值仿真说明了理论结果的有效性. |
| 英文摘要 |
| This paper investigates the fixed-time cluster synchronization problems of inertial memristive neural networks
(IMNNs) with disturbances. By designing an economical fixed-time controller, the cluster synchronization of the IMNNs
is guaranteed in a fixed time with less energy consumption. The discontinuous functions are chosen as the activations
to improve the universality of networks. Several sufficient conditions for the coupled network are obtained in the sense
of Filippov solution and fixed-time control theory. Meanwhile, the upper-bounds of settling times are obtained and the
robustness of the networks is proved. Finally, some numerical simulations are provided to illustrate the feasibility and
practicality of the theoretical results. |
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