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Neural network for solving Nash equilibrium problem in application of multiuser power control
He, Xing 1; Yu, Junzhi 2; Huang, Tingwen 3; Li, Chuandong 1; Li, Chaojie 4
Source PublicationNEURAL NETWORKS
2014-09-01
Volume57Pages:73-78
SubtypeArticle
AbstractIn this paper, based on an equivalent mixed linear complementarity problem, we propose a neural network to solve multiuser power controloptimization problems (MPCOP), which is modeled as the noncooperative Nash game in modern digital subscriber line (DSL). If the channel crosstalk coefficients matrix is positive semidefinite, it is shown that the proposed neural network is stable in the sense of Lyapunov and global convergence to a Nash equilibrium, and the Nash equilibrium is unique if the channel crosstalk coefficients matrix is positive definite. Finally, simulation results on two numerical examples show the effectiveness and performance of the proposed neural network.
KeywordNeural Network Multiuser Power Control Nash Game Global Convergence
WOS HeadingsScience & Technology ; Technology ; Life Sciences & Biomedicine
WOS KeywordDIGITAL SUBSCRIBER LINES ; VARIATIONAL-INEQUALITIES ; OPTIMIZATION PROBLEMS ; PSEUDOCONVEX OPTIMIZATION ; PROGRAMMING-PROBLEMS ; CONSTRAINTS ; SUBJECT
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Neurosciences & Neurology
WOS SubjectComputer Science, Artificial Intelligence ; Neurosciences
WOS IDWOS:000340319400008
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Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/3510
Collection复杂系统管理与控制国家重点实验室_先进机器人
Corresponding AuthorHe, Xing
Affiliation1. School of Electronics and Information Engineering, Southwest University, Chongqing 400715, China
2. State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China
3. Department of Mathematics, Texas A and M University at Qatar, P.O. Box 23874, Doha, Qatar
4. School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC 3001, Australia
Recommended Citation
GB/T 7714
He, Xing ,Yu, Junzhi ,Huang, Tingwen ,et al. Neural network for solving Nash equilibrium problem in application of multiuser power control[J]. NEURAL NETWORKS,2014,57:73-78.
APA He, Xing ,Yu, Junzhi ,Huang, Tingwen ,Li, Chuandong ,&Li, Chaojie .(2014).Neural network for solving Nash equilibrium problem in application of multiuser power control.NEURAL NETWORKS,57,73-78.
MLA He, Xing ,et al."Neural network for solving Nash equilibrium problem in application of multiuser power control".NEURAL NETWORKS 57(2014):73-78.
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