文献类型：期刊文献

英文题名：DISSIPATIVE AND DISSIPATIVITY ANALYSIS FOR QUATERNION-VALUED FRACTIONAL-ORDER DISCRETE-TIME MEMRISTIVE NEURAL NETWORKS

作者：Wei, Hongzhi[1];Li, Ruoxia[1];Li, Ning[2]

第一作者：Wei, Hongzhi

通讯作者：Wei, HZ[1]

机构：[1]Shaanxi Normal Univ, Sch Math & Stat, Xian 710062, Peoples R China;[2]Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450046, 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

外文期刊名：MATHEMATICAL CONTROL AND RELATED FIELDS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:001096000500001)】；

基金：This work was supported by the National Natural Science Foundation of China under Grant Nos. 12001348, 11971078, the Fundamental Research Funds for the Central Universities under Grant Nos. GK202301006, GK202304002, the Natural Science Foundation of Shaanxi Provincial Department of Education under grant No. 2023-JC-YB-055, the Young Talent fund of Univer-sity 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, and the Outstanding Youth Science Foundation Project of Henan Province under Grant No. 222300420022.

语种：英文

外文关键词：fractional-order; discrete-time; dissipative; dissipativity

摘要：. This paper illustrates the dissipative and dissipativity analysis for the fractional-order memristive system with quaternion terms. The purpose is to derive some conditions that are capable of guaranteeing the stability and dissipativity of the system. By resorting to a novel functional, sufficient conditions for the solvability of the above problem are established in the form of algebraic inequality and linear matrix inequality (LMI). In addition, based on the linear fractional difference system, the dissipativity conclusion is obtained, in which, the globally attractive sets is figured out as well. Finally, three examples are given to show the application of our proposed methods.