网络LQG平均场博弈的灵敏度分析：一种Graphon极限方法

Q3 Engineering

IFAC-PapersOnLine Pub Date : 2025-01-01 DOI:10.1016/j.ifacol.2025.07.055

Tao Zhang , Shuang Gao , Peter E. Caines

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引用次数: 0

摘要

本文给出了线性二次高斯平均场博弈（LQG-GMFG）的灵敏度分析，特别关注了不同网络位置初始条件下的扰动如何影响系统行为。我们通过石墨光谱分解的l2摄动度量来量化局部摄动的影响，并建立了摄动分析的显式解，揭示了网络拓扑如何影响摄动传播模式。我们的理论结果揭示了网络拓扑、系统动力学和灵敏度模式之间的基本联系，为鲁棒网络设计和控制策略提供了见解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sensitivity Analysis for Network LQG Mean-Field Games: A Graphon Limit Approach

This paper provides the sensitivity analysis of Linear Quadratic Gaussian graphon mean-field games (LQG-GMFG), with a particular focus on how perturbations in initial conditions at different network locations affect system behavior. We quantify the impact of localized perturbations through a L²-perturbation metric via graphon spectral decompositions and establish explicit solutions for the perturbation analysis that reveal how network topology influences perturbation propagation patterns. Our theoretical results reveal fundamental connections among network topology, system dynamics, and sensitivity patterns, providing insights for robust network design and control strategies.

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来源期刊

IFAC-PapersOnLine Engineering-Control and Systems Engineering

CiteScore

1.70

自引率

0.00%

发文量

1122

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