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

Authors: 

Phan Tu Vuong

Source title: 
Networks and Spatial Economics, pp. 1-13, 2019 (ISI)
Academic year of acceptance: 
2019-2020
Abstract: 

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.