An Inertial Projection Neural Network for Solving Variational Inequalities
He, Xing1; Huang, Tingwen2; Yu, Junzhi3; Li, Chuandong1; Li, Chaojie4
2017-03-01
发表期刊IEEE TRANSACTIONS ON CYBERNETICS
卷号47期号:3页码:809-814
文章类型Article
摘要Recently, 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.
关键词Inertial Projection Neural Network (Ipnn) Variational Inequalities (Vis).
WOS标题词Science & Technology ; Technology
DOI10.1109/TCYB.2016.2523541
关键词[WOS]CONVEX-OPTIMIZATION PROBLEMS ; BIFURCATION ; STABILITY ; CHAOS ; DELAY ; MODEL
收录类别SCI
语种英语
项目资助者Natural 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研究方向Computer Science
WOS类目Computer Science, Artificial Intelligence ; Computer Science, Cybernetics
WOS记录号WOS:000396395400022
引用统计
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/14385
专题复杂系统管理与控制国家重点实验室_先进机器人
作者单位1.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
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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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