On the Equilibria Computation of Set-Valued Lur'e Dynamical Systems
Optimization and Control
2025-05-22 v1
Abstract
In this article, we propose an efficient way to compute equilibria of a general class of set-valued Lur'e dynamical systems, which plays an important role in the asymptotical analysis of the systems. Besides the equilibria computation, our study can be also used to solve a class of quasi-variational inequalities. Some examples of finding Nash quasi-equilibria in game theory are given.
Keywords
Cite
@article{arxiv.2505.15006,
title = {On the Equilibria Computation of Set-Valued Lur'e Dynamical Systems},
author = {Phan Quoc Khanh and Le Ba Khiet},
journal= {arXiv preprint arXiv:2505.15006},
year = {2025}
}