文献类型：期刊文献

英文题名：Stop and go strategy for Lagrange stability of quaternion-valued 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, Peoples R China;[3]Yonsei Univ, Yonsei Frontier Lab, Seoul, South Korea;[4]Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou, 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：0

外文期刊名：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录：;EI(收录号：20225013226215);Scopus(收录号：2-s2.0-85143407282);WOS:【SCI-EXPANDED(收录号:WOS:000893307300001)】；

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 Natural Science Foundation of Shaanxi Province under grant No. 2020JQ-421, the Fundamental Research Funds for the Central Universities under grant No.GK202103005, the National Natural Science Foundation of China under grantNo. 62073122, and the Scientific and Technological Innovative Talents of Henan Province, China under Grant No.20HASTIT024, and the Outstanding Youth Science Foundation Project of Henan Province under Grant No. 222300420022.

语种：英文

外文关键词：continuous and discrete; Lagrange stability; memristive; quaternion-valued

摘要：This paper introduces a novel approach to study the quaternion-valued memristive neural networks and uses this method to investigate the Lagrange stability of the memristive system. By utilizing the logical switching signal, a stop and go strategy is proposed, which makes the model translated into a system contain two different switching parameters; thus, the derived conclusions contain much more information of the states. Moreover, the difficulty of comparing the "size" of quaternions can be avoided. In the case of discrete-time system, a very useful lemma is presented, which makes the analysis of the discrete-time quaternion-valued memristive network easy to operate. Through simulations, the main results regarding to the Lagrange stability are illustrated.