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

2025/05/21 by Phan Quốc Khánh, Ba Khiet Le, Khanh, Phan Quoc +1
Engineering · Mathematics · #FOS: Mathematics #Guidance and Control Systems #Mathematical Biology Tumor Growth #Mathematical Dynamics and Fractals #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.2505.15006

openalex publication_date 2025/05/21 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28

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.

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