文献类型：期刊文献

英文题名：Quasi-synchronization control of quaternion-valued fuzzy 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：472

外文期刊名：FUZZY SETS AND SYSTEMS

收录：;EI(收录号：20233714715677);Scopus(收录号：2-s2.0-85170430850);WOS:【SCI-EXPANDED(收录号:WOS:001091456000001)】；

基金：This work was supported by the Natural Science Foundation of Shaanxi Provincial Department of Education under grant No. 2023-JC-YB-055, the Fundamental Research Funds for the Central Universities under grant No. GK202301006, the Young Talent fund of University Association for Science and Technology in Xi'an, China under grant No. 095920221333, 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.

语种：英文

外文关键词：Quaternion; Memristive system; Norm; Quasi-synchronization; Nonlinear scalarization

摘要：In this paper, a general class of delayed fuzzy memristive system described by quaternion parameters is considered. By designing a new Lyapunov function and appropriate feedback controller, sufficient conditions formulated by norm inequality are given to ensure the quasi-synchronization of the quaternion-valued fuzzy memristive neural networks. It should be noted that, there is no systematic method to compare the size of two quaternions, so it is difficult to ensure the existence of the closed convex hull. To do so, a nonlinear scalarization approach is proposed in this paper, which established a generalized comparison method. Numerical example is given to show the effectiveness of our new results. (c) 2023 Elsevier B.V. All rights reserved.