CASIA OpenIR  > 复杂系统管理与控制国家重点实验室  > 先进机器人
An Inertial Projection Neural Network for Solving Variational Inequalities
He, Xing1; Huang, Tingwen2; Yu, Junzhi3; Li, Chuandong1; Li, Chaojie4
Source PublicationIEEE TRANSACTIONS ON CYBERNETICS
2017-03-01
Volume47Issue:3Pages:809-814
SubtypeArticle
AbstractRecently, projection neural network (PNN) was proposed for solving monotone variational inequalities (VIs) and related convex optimization problems. In this paper, considering the inertial term into first order PNNs, an inertial PNN (IPNN) is also proposed for solving VIs. Under certain conditions, the IPNN is proved to be stable, and can be applied to solve a broader class of constrained optimization problems related to VIs. Compared with existing neural networks (NNs), the presence of the inertial term allows us to overcome some drawbacks of many NNs, which are constructed based on the steepest descent method, and this model is more convenient for exploring different Karush-Kuhn-Tucker optimal solution for nonconvex optimization problems. Finally, simulation results on three numerical examples show the effectiveness and performance of the proposed NN.
KeywordInertial Projection Neural Network (Ipnn) Variational Inequalities (Vis).
WOS HeadingsScience & Technology ; Technology
DOI10.1109/TCYB.2016.2523541
WOS KeywordCONVEX-OPTIMIZATION PROBLEMS ; BIFURCATION ; STABILITY ; CHAOS ; DELAY ; MODEL
Indexed BySCI
Language英语
Funding OrganizationNatural Science Foundation of China(61403313 ; Natural Science Foundation Project of Chongqing CSTC(cstc2014jcyjA40014) ; National Priorities Research Program through Qatar National Research Fund of Qatar Foundation(NPRP 4-1162-1-181) ; 61374078 ; 61375102)
WOS Research AreaComputer Science
WOS SubjectComputer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS IDWOS:000396395400022
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/14385
Collection复杂系统管理与控制国家重点实验室_先进机器人
Affiliation1.Southwest Univ, Sch Elect & Informat Engn, Chongqing 400715, Peoples R China
2.Texas A&M Univ Qatar, Doha 5825, Qatar
3.Chinese Acad Sci, State Key Lab Management & Control Complex Syst, Inst Automat, Beijing 100190, Peoples R China
4.RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
Recommended Citation
GB/T 7714
He, Xing,Huang, Tingwen,Yu, Junzhi,et al. An Inertial Projection Neural Network for Solving Variational Inequalities[J]. IEEE TRANSACTIONS ON CYBERNETICS,2017,47(3):809-814.
APA He, Xing,Huang, Tingwen,Yu, Junzhi,Li, Chuandong,&Li, Chaojie.(2017).An Inertial Projection Neural Network for Solving Variational Inequalities.IEEE TRANSACTIONS ON CYBERNETICS,47(3),809-814.
MLA He, Xing,et al."An Inertial Projection Neural Network for Solving Variational Inequalities".IEEE TRANSACTIONS ON CYBERNETICS 47.3(2017):809-814.
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