文献类型：期刊文献

英文题名：Global dissipativity analysis of quaternion-valued memristor-based neural networks with proportional delay

作者：Li, Ning[1];Cao, Jinde[2,3,4]

第一作者：李宁

通讯作者：Li, N[1]

机构：[1]Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China;[2]Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China;[3]Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China;[4]Southeast Univ, Jiangsu Prov Key Lab Networked Collect Intelligen, Nanjing 211189, Jiangsu, Peoples R China

第一机构：河南财经政法大学数学与信息科学学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450046, Henan, Peoples R China.|[1048425]河南财经政法大学数学与信息科学学院;[10484]河南财经政法大学;

年份：2018

卷号：321

起止页码：103-113

外文期刊名：NEUROCOMPUTING

收录：;EI(收录号：20184005896728);Scopus(收录号：2-s2.0-85054077978);WOS:【SCI-EXPANDED(收录号:WOS:000447385100010)】；

基金：This work was jointly supported by National Natural Science Foundation of China under Grant 61573096, 61603125, 11872175, 61833005, the Jiangsu Provincial Key Laboratory of Networked Collective Intelligence under Grant No. BM2017002, Chinese Scholarship Council: 201708410029, the "333 Engineering" Foundation of Jiangsu Province of China (Grant No. BRA2015286) and Key Program of He'nan Universities (Grant 17A120001, 18A110003).

语种：英文

外文关键词：Memristive neural networks; Quaternion; Global dissipativity; Proportional delay

摘要：In this paper, the global dissipativity problem is investigated for the quaternion-valued memristor-based neural networks (QVMNNs) with proportional delay. Firstly, the mathematical model of QVMNNs is proposed, which is a challenging model due to the unbounded delay and the quaternion field. Secondly, based on matrix measure method and Lyapunov theorem, combing with modulus inequality technique and generalized Halanay inequality technique, some sufficient conditions guaranteeing global dissipativity of QVMNNs with proportional delay are derived. Moreover, the global attractive set of QVMNNs can also be obtained. Finally, three numerical examples are presented to demonstrate the effectiveness of the theoretical results. (C) 2018 Elsevier B.V. All rights reserved.