State Estimation for Quaternion-Valued Neural Networks With Multiple Time Delays

被引:76
作者
Chen, Xiaofeng [1 ]
Song, Qiankun [1 ]
机构
[1] Chongqing Jiaotong Univ, Dept Math, Chongqing 400074, Peoples R China
来源
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS | 2019年 / 49卷 / 11期
基金
中国国家自然科学基金;
关键词
Linear matrix inequalities (LMIs); quaternion-valued neural networks (QVNNs); state estimation; time delays; H-INFINITY; ASSOCIATIVE MEMORY; STABILITY; DESIGN;
D O I
10.1109/TSMC.2017.2776940
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper addresses the issue of state estimation for the quaternion-valued neural networks (QVNNs) with leakage, discrete, and distributed delays by employing the Lyapunov stability theory and the quaternion matrix theory. The criteria are developed in two forms of quaternion-valued linear matrix inequalities (LMIs) and complex-valued LMIs for guaranteeing the existence and stability of state estimators of the delayed QVNNs. Two numerical examples are provided to illustrate the effectiveness of the obtained results.
引用
收藏
页码:2278 / 2287
页数:10
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[34]  
Simmons GF., 1992, CALCULUS GEMS BRIEF
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