A novel neural network for nonlinear convex programming

IEEE Transactions on Neural Networks
Xingbao Gao

Abstract

In this paper, we present a neural network for solving the nonlinear convex programming problem in real time by means of the projection method. The main idea is to convert the convex programming problem into a variational inequality problem. Then a dynamical system and a convex energy function are constructed for resulting variational inequality problem. It is shown that the proposed neural network is stable in the sense of Lyapunov and can converge to an exact optimal solution of the original problem. Compared with the existing neural networks for solving the nonlinear convex programming problem, the proposed neural network has no Lipschitz condition, no adjustable parameter, and its structure is simple. The validity and transient behavior of the proposed neural network are demonstrated by some simulation results.

References

Feb 2, 2008·IEEE Transactions on Neural Networks·Xing-Bao Gao
Feb 8, 2008·IEEE Transactions on Neural Networks·Y Xia, J Wang
Jan 1, 1993·IEEE Transactions on Neural Networks·A Bouzerdoum, T R Pattison

❮ Previous
Next ❯

Citations

Dec 3, 2013·Neural Networks : the Official Journal of the International Neural Network Society·Guocheng LiJun Wang
Sep 15, 2006·International Journal of Neural Systems·Yongqing Yang, Jinde Cao
Sep 2, 2010·Neural Computation·Qingshan LiuGuanrong Chen
Jul 23, 2014·IEEE Transactions on Neural Networks and Learning Systems·Sitian Qin, Xiaoping Xue
May 9, 2014·IEEE Transactions on Neural Networks and Learning Systems·Qingshan Liu, Jun Wang
Apr 15, 2010·IEEE Transactions on Neural Networks·Xingbao Gao, Li-Zhi Liao
Jun 6, 2012·IEEE Transactions on Cybernetics·Qingshan LiuTingwen Huang
Jan 31, 2009·IEEE Transactions on Neural Networks·Xing-Bao Gao, Li-Zhi Liao
Aug 15, 2008·IEEE Transactions on Neural Networks·Youshen XiaJun Wang
Dec 14, 2005·IEEE Transactions on Neural Networks·Xing-Bao GaoLiqun Qi
Oct 10, 2008·IEEE Transactions on Neural Networks·Maria P Barbarosou, Nicholas G Maratos
Aug 8, 2009·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Xiaolin Hu, Bo Zhang
Jun 22, 2010·IEEE Transactions on Neural Networks·Xiaolin HuBo Zhang
May 13, 2015·IEEE Transactions on Neural Networks and Learning Systems·Qingshan Liu, Jun Wang
Dec 3, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Guocheng LiJun Wang
May 21, 2016·Neural Networks : the Official Journal of the International Neural Network Society·Hangjun CheTingwen Huang
Apr 22, 2016·IEEE Transactions on Neural Networks and Learning Systems·Qingshan LiuJun Wang
Oct 31, 2019·Network : Computation in Neural Systems·Yawei Li, Xingbao Gao

❮ 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

Neural Networks : the Official Journal of the International Neural Network Society
Y Xia, Gang Feng
IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society
Xiaolin Hu, J Wang
© 2021 Meta ULC. All rights reserved