Boundedness and periodicity for linear threshold discrete-time quaternion-valued neural network with time-delays

被引：50

作者：

Hu, Jin ^{[1
]}

Zeng, Chunna ^{[2
]}

Tan, Jun ^{[1
]}

机构：

[1] Chongqing Jiaotong Univ, Dept Math, Chongqing, Peoples R China

[2] Chongqing Normal Univ, Coll Math, Chongqing, Peoples R China

来源：

NEUROCOMPUTING | 2017年 / 267卷

基金：

中国国家自然科学基金;

关键词：

Quaternion-valued neural networks; Linear threshold; boundedness; Periodicity; ASSOCIATIVE MEMORY; COMPLETE STABILITY; ROBUST STABILITY; EQUATIONS; NEURONS;

D O I：

10.1016/j.neucom.2017.06.047

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, the discrete-time quaternion-valued neural network with linear threshold activation functions is investigated. The sufficient conditions to the boundedness and global exponential periodicity of the neural network are obtained by using characteristic equation, Lyapunov functional and M-matrix. Simulation results illustrative the effectiveness of the conclusions obtained in this paper. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：417 / 425

页数：9

共 43 条

[11] RECURRENT EXCITATION IN NEOCORTICAL CIRCUITS [J].

DOUGLAS, RJ ;

KOCH, C ;

MAHOWALD, M ;

MARTIN, KAC ;

SUAREZ, HH .

SCIENCE, 1995, 269 (5226) :981-985

[12]

Du Y., 2013, DISCRETE DYN NATURE, V2013

[13] Boundedness and Stability for Discrete-Time Delayed Neural Network with Complex-Valued Linear Threshold Neurons [J].

Duan, Chengjun ;

Song, Qiankun .

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010

[14] Quaternionic analysis, representation theory and physics [J].

Frenkel, Igor ;

Libine, Matvei .

ADVANCES IN MATHEMATICS, 2008, 218 (06) :1806-1877

[15] On the piecewise analysis of networks of linear threshold neurons [J].

Hahnloser, RLT .

NEURAL NETWORKS, 1998, 11 (04) :691-697

[16] Adaptive synchronization of a class of chaotic neural networks with known or unknown parameters [J].

He, Wangli ;

Cao, Jinde .

PHYSICS LETTERS A, 2008, 372 (04) :408-416

[17]

Hirose A., 2006, COMPLEX VALUED NEURA

[18]

Hirose A, 2010, LECT NOTES ARTIF INT, V6114, P42, DOI 10.1007/978-3-642-13232-2_6

[19]

HOPFIELD JJ, 1985, BIOL CYBERN, V52, P141

[20] Global exponential periodicity and stability of discrete-time complex-valued recurrent neural networks with time-delays [J].

Hu, Jin ;

Wang, Jun .

NEURAL NETWORKS, 2015, 66 :119-130

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