Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Hongyi LiWeiyi Qian

Abstract

This paper is concerned with the problem of the robust stability of nonlinear delayed Hopfield neural networks (HNNs) with Markovian jumping parameters by Takagi-Sugeno (T-S) fuzzy model. The nonlinear delayed HNNs are first established as a modified T-S fuzzy model in which the consequent parts are composed of a set of Markovian jumping HNNs with interval delays. Time delays here are assumed to be time-varying and belong to the given intervals. Based on Lyapunov-Krasovskii stability theory and linear matrix inequality approach, stability conditions are proposed in terms of the upper and lower bounds of the delays. Finally, numerical examples are used to illustrate the effectiveness of the proposed method.

References

Apr 1, 1982·Proceedings of the National Academy of Sciences of the United States of America·J J Hopfield
Dec 22, 2005·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Shengyuan XuYun Zou
Apr 11, 2006·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Chong LinTong Heng Lee
Jun 10, 2006·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Huai-Ning Wu, Kai-Yuan Cai
Feb 7, 2007·IEEE Transactions on Neural Networks·Yong HeD Rees
Jun 7, 2007·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Xuyang Lou, Baotong Cui
Aug 19, 2007·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Chong LinBing Chen
Mar 20, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Xi-Ming SunJun Zhao
Mar 20, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Shaoshuai MouKe Chen

❮ Previous
Next ❯

Citations

Dec 22, 2009·Neural Networks : the Official Journal of the International Neural Network Society·Hongyang LiuTingting Liu
Jul 14, 2009·Neural Networks : the Official Journal of the International Neural Network Society·He Huang, Gang Feng
Nov 7, 2014·IEEE Transactions on Cybernetics·Xianwei Li, Huijun Gao
Jun 13, 2013·IEEE Transactions on Cybernetics·Qian MaShengyuan Xu
Jun 13, 2013·IEEE Transactions on Cybernetics·Yun Chen, Wei Xing Zheng
Jun 13, 2013·IEEE Transactions on Cybernetics·Zheng-Guang WuJian Chu
Oct 26, 2012·IEEE Transactions on Cybernetics·Jeremias B MachadoWagner Caradori Amaral
Sep 10, 2014·IEEE Transactions on Cybernetics·Junwei Sun, Yi Shen
Oct 21, 2014·IEEE Transactions on Neural Networks and Learning Systems·Zhenyuan GuoZheng Yan
Aug 16, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Yang TangJürgen Kurths
Feb 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Zheng-Guang WuJian Chu
May 25, 2011·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Huaguang ZhangShaocheng Tong
Feb 26, 2010·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Huaguang ZhangGuang-Bin Huang
Oct 7, 2010·IEEE Transactions on Neural Networks·Hongyi LiPeng Shi
Sep 20, 2011·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Xianwei LiXinghuo Yu
Jul 27, 2010·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Quanxin Zhu, Jinde Cao
Apr 8, 2010·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Zhanshan WangPing Li
Sep 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Jianping ZhouHao Shen
May 15, 2015·IEEE Transactions on Neural Networks and Learning Systems·Peng ShiRamesh K Agarwal
Jan 7, 2015·IEEE Transactions on Cybernetics·Choon Ki AhnLigang Wu
Apr 4, 2015·Neural Networks : the Official Journal of the International Neural Network Society·Ruya Samli
Dec 2, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Yonggui KaoHamid Reza Karimi
May 25, 2012·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Qi ZhouShengyuan Xu
Jul 19, 2016·IEEE Transactions on Neural Networks and Learning Systems·Yi-Fei PuJi-Liu Zhou
May 16, 2017·IEEE Transactions on Neural Networks and Learning Systems·Zhongyang FeiHuijun Gao
Jul 6, 2017·IEEE Transactions on Neural Networks and Learning Systems·Tingting YuLigang Wu

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Rongni YangPeng Shi
Neural Networks : the Official Journal of the International Neural Network Society
Yurong LiuXiaohui Liu
© 2021 Meta ULC. All rights reserved