| 引用本文: | 刘国权,周吴昊,陈立平,周书民.分数阶中立型时变时滞神经网络的全局渐近稳定性[J].控制理论与应用,2025,42(6):1170~1180.[点击复制] |
| LIU Guo-quan,ZHOU Wu-hao,CHEN Li-ping,ZHOU Shu-min.Global asymptotic stability of fractional order neutral time varying delay neural networks[J].Control Theory & Applications,2025,42(6):1170~1180.[点击复制] |
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| 分数阶中立型时变时滞神经网络的全局渐近稳定性 |
| Global asymptotic stability of fractional order neutral time varying delay neural networks |
| 摘要点击 80 全文点击 12 投稿时间：2024-03-30 修订日期：2025-05-25 |
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| DOI编号 10.7641/CTA.2024.40190 |
| 2025,42(6):1170-1180 |
| 中文关键词 稳定性 分数阶中立型神经网络 Lyapunov-Krasovskii泛函 时变时滞 线性矩阵不等式 |
| 英文关键词 stability fractional neutral-type neural networks Lyapunov-Krasovskii functional time-varying delay linear matrix inequality |
| 基金项目 国家自然科学基金项目(62341301,12165001), 人工智能四川省重点实验室开放基金项目(2023RYY02), 西南科技大学特殊环境机器人技术四川省 重点实验室开放课题项目(23kftk06)资助. |
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| 中文摘要 |
| 本文研究了一类分数阶中立型时变时滞神经网络的全局渐近稳定性问题. 首先, 本文提出了一类含有时变
时滞的分数阶中立型神经网络模型, 该模型含有分数阶微分项和时变时滞; 其次, 基于Lyapunov泛函理论、线性矩
阵不等式方法, 本文深入研究了该模型的全局渐进稳定性问题, 推导出了新的该模型的稳定性判据; 最后, 通过4个
实例验证了所得的稳定性判据的可行性. 本文研究为含有时变时滞的分数阶中立型神经网络的稳定性研究提供了
新的依据. |
| 英文摘要 |
| This paper addresses the global asymptotic stability problem of a specific class of fractional-order neutral-type
neural networks with time-varying delays. Firstly, a model is proposed to characterize such neural networks, encompassing
fractional differential terms and time-varying delays. Secondly, by employing Lyapunov functional theory and linear matrix
inequality methods, the study conducts an in-depth examination of the global asymptotic stability problem inherent in
this model, resulting in the derivation of novel stability criteria. Finally, the feasibility of the obtained stability criteria is
rigorously assessed through four examples. This research endeavor provides valuable new insights into the stability analysis
of fractional-order neutral-type neural networks with time-varying delays. |
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