The Global Exponential Stability of a Dynamical System for Solving Variational Inequalities

被引：21
作者：
Vuong, Phan Tu [1 ,2 ]
机构：
[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
来源：
NETWORKS & SPATIAL ECONOMICS | 2022年 / 22卷 / 02期
关键词：
Global exponential stability; Dynamical system; Strong pseudomonotonicity; Variational inequality; PROJECTION NEURAL-NETWORK; CONSTRAINED OPTIMIZATION;
D O I：
10.1007/s11067-019-09457-6
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We revisit a dynamical system for solving variational inequalities. Under strongly pseudomonotone and Lipschitz continuous assumptions of the considered operator, we obtain the global exponential stability of the trajectories. Numerical examples are presented confirming the theoretical results. The stability result obtained in this paper improves and complements some recent works.
引用
收藏
页码：395 / 407
页数：13
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