Exponential convergence for high-order recurrent neural networks with a class of general activation functions

被引：12

作者：

Zhang, Hong ^{[1
]}

Wang, Wentao ^{[2
]}

Xiao, Bing ^{[1
]}

机构：

[1] Hunan Univ Arts & Sci, Dept Math, Changde 415000, Hunan, Peoples R China

[2] Jiaxing Univ, Coll Math & Informat Sci, Jiaxing 314001, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICAL MODELLING | 2011年 / 35卷 / 01期

关键词：

High-order recurrent neural networks; Exponential convergence; Delays; General activation functions; LMI-BASED CRITERIA; STABILITY; BEHAVIOR; DELAYS;

D O I：

10.1016/j.apm.2010.05.011

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we consider high-order recurrent neural networks with a class of general activation functions. By using some mathematical analysis techniques, we establish new results to ensure that all solutions of the networks converge exponentially to zero point. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：123 / 129

页数：7

共 50 条

[31] Global exponential stability of a class of Hopfield neural networks with delays
Liu, Wei
Fu, Chaojin
Hu, Hongchang
NEURAL COMPUTING & APPLICATIONS, 2011, 20 (08) : 1205 - 1209
[32] Exponential convergence behavior of shunting inhibitory cellular neural networks with time-varying coefficients
Li, Yaqiong
Meng, Hua
Zhou, Qiyuan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 216 (01) : 164 - 169
[33] Global Exponential Convergence of Neutral Type Shunting Inhibitory Cellular Neural Networks with D Operator
Yao, Luogen
NEURAL PROCESSING LETTERS, 2017, 45 (02) : 401 - 409
[34] Stability Analysis of a General Class of Continuous-Time Recurrent Neural Networks
Fu, Chaojin
Wang, Zhongsheng
ADVANCES IN NEURAL NETWORKS - ISNN 2009, PT 1, PROCEEDINGS, 2009, 5551 : 340 - +
[35] EXPONENTIAL CONVERGENCE FOR BAM NEURAL NETWORKS WITH DISTRIBUTED DELAYS
Li, Yongkun
Ren, Yaping
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[36] Global exponential stability of neutral high-order stochastic Hopfield neural networks with Markovian jump parameters and mixed time delays
Huang, Haiying
Du, Qiaosheng
Kang, Xibing
ISA TRANSACTIONS, 2013, 52 (06) : 759 - 767
[37] Global Robust Exponential Stability of Uncertain Neutral High-Order Stochastic Hopfield Neural Networks with Time-Varying Delays
Gan, Qintao
Xu, Rui
NEURAL PROCESSING LETTERS, 2010, 32 (01) : 83 - 96
[38] Global Robust Exponential Stability of Uncertain Neutral High-Order Stochastic Hopfield Neural Networks with Time-Varying Delays
Qintao Gan
Rui Xu
Neural Processing Letters, 2010, 32 : 83 - 96
[39] Global exponential stability and periodic solutions of recurrent neural networks with delays
Huang, H
Cao, JD
Wang, J
PHYSICS LETTERS A, 2002, 298 (5-6) : 393 - 404
[40] Globally Exponentially Stability of Discrete-time Recurrent Neural Networks with Unsaturating Linear Activation Functions
Lin, Zongbing
Tan, Qianrong
Li, Jun
MATERIALS, MECHATRONICS AND AUTOMATION, PTS 1-3, 2011, 467-469 : 731 - 736

← 1 2 3 4 5 →