Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays-Reference-Cited by-同舟云学术

Global Exponential Stability of Discrete-Time Neural Networks with Time-Varying Delays

Published:2013 Issue: Volume:2013 Page:1-4
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Udpin S.¹,Niamsup P.²³

Affiliation:

1. Department of Mathematics, Kasetsart University, Kamphaeng Saen Campus, Nakhonpathom 73140, Thailand

2. Department of Mathematics, Chiang Mai University, Chiang Mai 50200, Thailand

3. Center of Excellence in Mathematics CHE, Si Ayutthaya Road, Bangkok 10400, Thailand

Abstract

This paper presents some global stability criteria of discrete-time neural networks with time-varying delays. Based on a discrete-type inequality, a new global stability condition for nonlinear difference equation is derived. We consider nonlinear discrete systems with time-varying delays and independence of delay time. Numerical examples are given to illustrate the effectiveness of our theoretical results.

Funder

Kasetsart University

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2013/325752.pdf

Reference6 articles.

1. Robust stability of discrete-time LPD neural networks with time-varying delay

2. Global exponential stability of impulsive discrete-time neural networks with time-varying delays

3. New discrete type inequalities and global stability of nonlinear difference equations

4. On Global Exponential Stability of Discrete-Time Hopfield Neural Networks with Variable Delays

5. Robust stability analysis of generalized neural networks with multiple discrete delays and multiple distributed delays

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Exponential stability of discrete-time uncertain neural networks with multiple time-varying leakage delays;Mathematics and Computers in Simulation;2020-05

2. Nonuniform behavior and stability of Hopfield neural networks with delay;Nonlinearity;2017-06-28