Finite-time synchronization analysis for the generalized Caputo fractional spatio-temporal neural networks

IF 4.4 2区数学 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematics and Computers in Simulation Pub Date : 2024-11-13 DOI:10.1016/j.matcom.2024.11.006

Xianghu Liu, Yanfang Li, Guangjun Xu

引用次数: 0

Abstract

This paper is concerned with finite-time synchronization analysis for the generalized Caputo fractional spatio-temporal neural networks with time delay(GCFSTNN). The generalized Caputo type fractional derivative are defined, two novel generalized Caputo fractional differential inequalities are proved. Meanwhile, some control strategies are designed to get the finite-time synchronization results. Finally, numerical examples and simulation results are showed to demonstrate validation of finite-time synchronization conditions.

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广义卡普托分数时空神经网络的有限时间同步分析

本文关注带时延的广义卡普托分数时空神经网络（GCFSTNN）的有限时间同步分析。定义了广义卡普托分数导数，证明了两个新的广义卡普托分数微分不等式。同时，设计了一些控制策略以获得有限时间同步结果。最后，展示了数值示例和仿真结果，以证明有限时间同步条件的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematics and Computers in Simulation 数学-计算机：跨学科应用

CiteScore

8.90

自引率

4.30%

发文量

335

审稿时长

54 days

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