On the Equilibria Computation of Set-Valued Lur'e Dynamical Systems

Fuente: arXiv
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Autori principali: Khanh, Phan Quoc, Khiet, Le Ba
Natura: Preprint
Pubblicazione: 2025
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author Khanh, Phan Quoc
Khiet, Le Ba
author_facet Khanh, Phan Quoc
Khiet, Le Ba
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_15006
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Equilibria Computation of Set-Valued Lur'e Dynamical Systems
Khanh, Phan Quoc
Khiet, Le Ba
Optimization and Control
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.
title On the Equilibria Computation of Set-Valued Lur'e Dynamical Systems
topic Optimization and Control
url https://arxiv.org/abs/2505.15006