信阳师范学院学报(自然科学版)2025,Vol.38Issue(1):87-91,5.DOI:10.3969/j.issn.2097-583X.2025.01.012
分数阶时滞金融混沌系统的完全同步
Complete synchronization of time delayed fractional-order chaotic financial system
摘要
Abstract
The problem of complete synchronization for a novel class of fractional-order (FO) delayed financial chaotic systems was discussed. Three feedback gain controllers with time delay were designed in the response system. Based on FO Razumikhin theorem and fractional inequality,a sufficient condition for the complete synchronization of the drive-response system was obtained. The results showed that the state of the response system would be complete synchronized with the state of the drive system,and the state of the error system would be stable,which shows that the design of the controller is effective. Ultimately,numerical verifications were given to verify the correctness of the results obtained.关键词
分数阶/时滞金融混沌系统/完全同步/分数阶拉兹密辛定理Key words
fractional-order(FO)/delayed financial chaotic system/complete synchronization/fractionalorder Razumikhin theorem分类
数理科学引用本文复制引用
黄承代,汪华南,刘恒..分数阶时滞金融混沌系统的完全同步[J].信阳师范学院学报(自然科学版),2025,38(1):87-91,5.基金项目
国家自然科学基金项目(12261009) (12261009)
信阳师范大学研究生科研创新基金项目(2024KYJJ005) (2024KYJJ005)