文献类型：期刊文献

英文题名：Finite-time and global Mittag-Leffler stability of fractional-order neural networks with S-type distributed delays

作者：Liu, Wei[1,2];Zuo, Qinghua[2];Xu, Chen[1]

机构：[1]Shaoxing Univ, Dept Math, Yuanpei Coll, Qunxian Rd 2799, Shaoxing 312000, Zhejiang, Peoples R China;[2]Shaoxing Univ, Dept Math, Chengnan Ave 990, Shaoxing 312000, Zhejiang, Peoples R China

年份：2024

卷号：9

期号：4

起止页码：8339

外文期刊名：AIMS MATHEMATICS

收录：SCI-EXPANDED(收录号：WOS:001173894000006)、、Scopus(收录号：2-s2.0-85186243547)、WOS

基金：The authors acknowledge The Ministry of Education's Cooperative Education Program for Industry-University Cooperation (220505876312732) , The Science Research Key Project of Shaoxing University (2023LG017) , The Science Research Project of Shaoxing University Yuanpei College (KY2022C03) , and The Science Project of Zhejiang Educational Department (Y202145903) .

语种：英文

外文关键词：fractional-order neural networks; S-type distributed delays; finite-time stability; global Mittag-Leffler stability

外文摘要：This paper was mainly concerned with the stability analysis of a class of fractionalorder neural networks with S-type distributed delays. By using the properties of Riemann-Liouville fractional-order derivatives and integrals, along with the additivity of integration intervals and initial conditions, fractional-order integrals of the state function with S-type distributed delays were transformed into fractional-order integrals of the state function without S-type distributed delays. By virtue of the theory of contractive mapping and the Bellman-Gronwall inequality, the sufficient conditions for finite-time stability and global Mittag-Leffler stability were obtained when certain conditions were satisfied. Moreover, the correctness and realizability of the conclusion were verified through the presentation of two illustrative numerical simulation examples.