文献类型：期刊文献

英文题名：Stabilization of reaction-diffusion fractional-order memristive neural networks

作者：Li, Ruoxia[1];Cao, Jinde[2,3];Li, Ning[4]

第一作者：Li, Ruoxia

通讯作者：Li, RX[1]

机构：[1]Shaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China;[2]Southeast Univ, Sch Math, Nanjing 210096, Peoples R China;[3]Yonsei Univ, Yonsei Frontier Lab, Seoul 03722, South Korea;[4]Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China

第一机构：Shaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China

通讯机构：[1]corresponding author), Shaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China.

年份：2023

卷号：165

起止页码：290-297

外文期刊名：NEURAL NETWORKS

收录：;EI(收录号：20232414233229);Scopus(收录号：2-s2.0-85161683469);WOS:【SCI-EXPANDED(收录号:WOS:001024854300001)】；

基金：This work was supported by the Young Talent fund of University Association for Science and Technology in Xi'an, China under grant No. 095920221333, the Fundamental Research Funds for the Central Universities under grant No. GK202301006, the Natural Science Foundation of Shaanxi Provincial Department of Education under grant No. 2023-JC-YB-055, Shaanxi Fundamental Science Research Project for Mathematics and Physics under grant No. 22JSQ017, the National Natural Science Foundation of China under grant No. 62073122, and the Outstanding Youth Science Foundation Project of Henan Province under Grant No. 222300420022.& nbsp;

语种：英文

外文关键词：Memristive; Fractional-order neural networks; Reaction-diffusion; Stabilization

摘要：This paper investigates the stabilization control of fractional-order memristive neural networks with reaction-diffusion terms. With regard to the reaction-diffusion model, a novel processing method based on Hardy-Poincare inequality is introduced, as a result, the diffusion terms are estimated associated with the information of the reaction-diffusion coefficients and the regional feature, which may be beneficial to obtain conditions with less conservatism. Then, based on Kakutani's fixed point theorem of set-valued maps, new testable algebraic conclusion for ensuring the existence of the system's equilibrium point is obtained. Subsequently, by means of Lyapunov stability theory, it is concluded that the resulting stabilization error system is global asymptotic/Mittag-Leffler stable with a prescribed controller. Finally, an illustrative example about is provided to show the effectiveness of the established results.& COPY; 2023 Elsevier Ltd. All rights reserved.