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

Phan Quoc Khanh; Le Ba Khiet

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arXiv · 2505.15006

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

Phan Quoc Khanh·Le Ba Khiet

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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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BibTeX RIS

Phan Quoc Khanh, Le Ba Khiet. 2025-05-21. On the Equilibria Computation of Set-Valued Lur'e Dynamical Systems. https://arxiv.org/abs/2505.15006

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