基于不动点理论的分数阶模糊细胞神经网络的稳定性分析
Stability Analysis of Fractional Order Fuzzy Cellular Neural Networks via Fixed Point Approach
DOI: 10.12677/PM.2024.143082, PDF,    科研立项经费支持
作者: 熊希曦, 罗 敏：云南财经大学统计与数学学院，云南 昆明；陈龙伟*：云南财经大学云南省服务计算重点实验室，云南 昆明；云南财经大学智能应用研究院，云南 昆明
关键词: 分数阶神经网络；压缩映射理论；全局指数稳定性；Fractional Order Neural Networks； Contraction Mapping Theory； Global Exponential Stability
摘要: 针对具有时变时滞的分数阶模糊细胞神经网络，采用Banach不动点理论和方法，直接得到了分数阶神经网络的一个新的稳定性判据。该方法较为新颖，得到比已有结果更简单的结论。最后，给出了一个数值例子来说明所提方法的有效性。
Abstract: For fractional-order fuzzy cellular neural networks with time-varying delays, Banach fixed point theory and technique are employed to derive a new stability criterion of fractional-order neural networks. This method is relatively novel, and a simpler conclusion is obtained than the existing results. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
文章引用：熊希曦, 陈龙伟, 罗敏. 基于不动点理论的分数阶模糊细胞神经网络的稳定性分析[J]. 理论数学, 2024, 14(3): 19-31. https://doi.org/10.12677/PM.2024.143082

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