文献类型：期刊文献

英文题名：Passivity Analysis for Quaternion-Valued Memristor-Based Neural Networks With Time-Varying Delay

作者：Li, Ning[1,2];Zheng, Wei Xing[2]

第一作者：Li, Ning;李宁

通讯作者：Zheng, WX[1]

机构：[1]Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450046, Peoples R China;[2]Western Sydney Univ, Sch Comp Engn & Math, Sydney, NSW 2751, Australia

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), Western Sydney Univ, Sch Comp Engn & Math, Sydney, NSW 2751, Australia.

年份：2020

卷号：31

期号：2

起止页码：639-650

外文期刊名：IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS

收录：;EI(收录号：20191906895443);WOS:【SCI-EXPANDED(收录号:WOS:000526527800021)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 61603125 and Grant 11872175, in part by the Australian Research Council under Grant DP120104986, in part by the Chinese Scholarship Council under Grant 201708410029, in part by the Key Program of Henan Universities under Grant 17A120001, and in part by the Xinhe Huang Tingfang Young Scholars' Fund of HUEL under Grant hncjzfdxxhhtf201913.

语种：英文

外文关键词：Delays; Neurons; Biological neural networks; Memristors; Quaternions; Linear matrix inequalities; Stability criteria; Exponential passivity; nondecomposition approach; quaternion-valued memristor-based neural networks (QVMNNS); time-varying delay

摘要：This paper is concerned with the problem of global exponential passivity for quaternion-valued memristor-based neural networks (QVMNNs) with time-varying delay. The QVMNNs can be seen as a switched system due to the memristor parameters are switching according to the states of the network. This is the first time that the global exponential passivity of QVMNNs with time-varying delay is investigated. By means of a nondecomposition method and structuring novel Lyapunov functional in form of quaternion self-conjugate matrices, the delay-dependent passivity criteria are derived in the forms of quaternion-valued linear matrix inequalities (LMIs) as well as complex-valued LMIs. Furthermore, the asymptotical stability criteria can be obtained from the proposed passivity criteria. Finally, a numerical example is presented to illustrate the effectiveness of the theoretical results.