时延分数阶复值惯性神经网络的有限时间控制
Finite-Time Control of Fractional-Order Complex-Valued Inertial Neural Networks with Time Delays
DOI: 10.12677/dsc.2024.134016, PDF,    科研立项经费支持
作者: 王子铭, 孙 文：湖北师范大学数学与统计学院，湖北 黄石；张晓薇：武汉纺织大学会计学院，湖北 武汉
关键词: 有限时间；惯性；复值；时延；分数阶神经网络；Finite-Time； Inertial； Complex-Valued； Time Delays； Fractional-Order Neural Networks
摘要: 本文研究带有时延的分数阶复值惯性神经网络的有限时间控制问题。首先使用变量代换法将高阶复值系统转化为四个低阶实值系统，然后根据新提出的有限时间稳定性引理，构造李亚普洛夫函数，使得驱动和响应系统可以在设计的非线性控制器下达到同步且得到其沉降时间。最后，给出一个数值仿真去检验得到的理论结果的正确性。
Abstract: This paper studies the finite-time control problem of time-delayed fractional-order complex-valued inertial neural networks. Firstly, the higher-order complex-valued system is converted into four lower-order real-valued systems using the variable substitution method. Then, based on the newly proposed finite-time stability lemma, a Lyapunov function is constructed and a nonlinear controller is designed to guarantee that the response system can be synchronized to the drive system in finite time and that the settling time is derived simultaneously. Finally, a numerical example is given to check the correctness of the theoretical results.
文章引用：王子铭, 张晓薇, 孙文. 时延分数阶复值惯性神经网络的有限时间控制[J]. 动力系统与控制, 2024, 13(4): 160-172. https://doi.org/10.12677/dsc.2024.134016

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