An Inertial Projection Neural Network for Solving Variational Inequalities
文献类型:期刊论文
作者 | He, Xing1; Huang, Tingwen2; Yu, Junzhi3; Li, Chuandong1; Li, Chaojie4 |
刊名 | IEEE TRANSACTIONS ON CYBERNETICS |
出版日期 | 2017-03-01 |
卷号 | 47期号:3页码:809-814 |
关键词 | Inertial projection neural network (IPNN) variational inequalities (VIs). |
英文摘要 | 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. |
WOS标题词 | Science & Technology ; Technology |
类目[WOS] | Computer Science, Artificial Intelligence ; Computer Science, Cybernetics |
研究领域[WOS] | Computer Science |
关键词[WOS] | CONVEX-OPTIMIZATION PROBLEMS ; BIFURCATION ; STABILITY ; CHAOS ; DELAY ; MODEL |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000396395400022 |
源URL | [http://ir.ia.ac.cn/handle/173211/14385] |
专题 | 自动化研究所_复杂系统管理与控制国家重点实验室_先进机器人控制团队 |
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 |
推荐引用方式 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. |
入库方式: OAI收割
来源:自动化研究所
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