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

页码：2278 / 2287

页数：10

共 50 条

[1]

Adler S. L., 1995, Quaternionic quantum mechanics and quantum fields

[2] Design and Analysis of Quaternion-Valued Neural Networks for Associative Memories [J].

Chen, Xiaofeng ;

Song, Qiankun ;

Li, Zhongshan .

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2018, 48 (12) :2305-2314

[3] Stability Analysis of Continuous-Time and Discrete-Time Quaternion-Valued Neural Networks With Linear Threshold Neurons [J].

Chen, Xiaofeng ;

Song, Qiankun ;

Li, Zhongshan ;

Zhao, Zhenjiang ;

Liu, Yurong .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (07) :2769-2781

[4] Robust stability analysis of quaternion-valued neural networks with time delays and parameter uncertainties [J].

Chen, Xiaofeng ;

Li, Zhongshan ;

Song, Qiankun ;

Hu, Jin ;

Tan, Yuanshun .

NEURAL NETWORKS, 2017, 91 :55-65

[5] Global stability of complex-valued neural networks with both leakage time delay and discrete time delay on time scales [J].

Chen, Xiaofeng ;

Song, Qiankun .

NEUROCOMPUTING, 2013, 121 :254-264

[6] Neurocomputing with time delay analysis for solving convex quadratic programming problems [J].

Chen, YH ;

Fang, SC .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2000, 11 (01) :230-240

[7] H∞ state estimation for memristive neural networks with time-varying delays: The discrete-time case [J].

Ding, Sanbo ;

Wang, Zhanshan ;

Wang, Jidong ;

Zhang, Huaguang .

NEURAL NETWORKS, 2016, 84 :47-56

[8] Robust state estimation for uncertain neural networks with time-varying delay [J].

Huang, He ;

Feng, Gang ;

Cao, Jinde .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (08) :1329-1339

[9]

Isokawa T, 2003, LECT NOTES ARTIF INT, V2774, P318

[10] Associative memory in quaternionic hopfield neural network [J].

Isokawa, Teijiro ;

Nishimura, Haruhiko ;

Kamiura, Naotake ;

Matsui, Nobuyuki .

INTERNATIONAL JOURNAL OF NEURAL SYSTEMS, 2008, 18 (02) :135-145

← 1 2 3 4 5 →