title: Neural network for solving Nash equilibrium problem in application of multiuser power control.
abstract: In this paper, based on an equivalent mixed linear complementarity problem, we propose a neural network to solve multiuser power control optimization 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.
authors.affiliation: School of Electronics and Information Engineering, Southwest University, Chongqing 400715, PR China. Electronic address: hexingdoc@swu.edu.cn.
authors.forename: Xing
authors.initials: X
authors.lastname: He
authors.affiliation: State Key Laboratory of Management and Control for Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, PR China. Electronic address: junzhi.yu@ia.ac.cn.
authors.forename: Junzhi
authors.initials: J
authors.lastname: Yu
authors.affiliation: Department of Mathematics, Texas A&M University at Qatar, Doha, P.O. Box 23874, Qatar. Electronic address: tingwen.huang@qatar.tamu.edu.
authors.forename: Tingwen
authors.initials: T
authors.lastname: Huang
authors.affiliation: School of Electronics and Information Engineering, Southwest University, Chongqing 400715, PR China. Electronic address: licd@cqu.edu.cn.
authors.forename: Chuandong
authors.initials: C
authors.lastname: Li
authors.affiliation: School of Electrical and Computer Engineering, RMIT University, Melbourne, VIC 3001, Australia. Electronic address: cjlee.cqu@163.com.
authors.forename: Chaojie
authors.initials: C
authors.lastname: Li
mesh_terms: D000465:Algorithms; D003195:Computer Communication Networks; D008962:Models, Theoretical; D016571:Neural Networks, Computer
keywords: Global convergence; Multiuser power control; Nash game; Neural network