Distributed Control for Lipschitz Nonlinear Systems on Graphical Game Framework

Long Zhang; Zhuo Zhang; Hamid Reza Karimi; Shouxu Zhang; Rongxin Cui; Weisheng Yan; Jun Zhang

doi:10.1049/cth2.70075

Distributed Control for Lipschitz Nonlinear Systems on Graphical Game Framework

Long Zhang
, Zhuo Zhang
, Hamid Reza Karimi
, Shouxu Zhang
, Rongxin Cui
, Weisheng Yan
, Jun Zhang

航海学院

Northwestern Polytechnical University Xian
Polytechnic University of Milan

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

This paper studies the graphical game for multi-agent systems with Lipschitz nonlinear dynamics over directed graphs. First, a distributed optimal control policy is presented to ensure the leader-following consensus. Then, a modified cost function in the framework of graphical games is designed such that the weighting matrix is time-varying and relies on the Lipschitz nonlinearity, leading to the global Nash equilibrium. A simulation study is finally provided.

源语言	英语
期刊论文编号	e70075
期刊	IET Control Theory and Applications
卷	19
期	1
DOI	https://doi.org/10.1049/cth2.70075
出版状态	已出版 - 1 1月 2025

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10.1049/cth2.70075

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title = "Distributed Control for Lipschitz Nonlinear Systems on Graphical Game Framework",

abstract = "This paper studies the graphical game for multi-agent systems with Lipschitz nonlinear dynamics over directed graphs. First, a distributed optimal control policy is presented to ensure the leader-following consensus. Then, a modified cost function in the framework of graphical games is designed such that the weighting matrix is time-varying and relies on the Lipschitz nonlinearity, leading to the global Nash equilibrium. A simulation study is finally provided.",

keywords = "Lipschitz nonlinearity, Multi-agent systems, graphical games",

author = "Long Zhang and Zhuo Zhang and Karimi, \{Hamid Reza\} and Shouxu Zhang and Rongxin Cui and Weisheng Yan and Jun Zhang",

note = "Publisher Copyright: {\textcopyright} 2025 The Author(s). IET Control Theory \& Applications published by John Wiley \& Sons Ltd on behalf of The Institution of Engineering and Technology.",

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AU - Zhang, Long

AU - Zhang, Zhuo

AU - Karimi, Hamid Reza

AU - Zhang, Shouxu

AU - Cui, Rongxin

AU - Yan, Weisheng

AU - Zhang, Jun

PY - 2025/1/1

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N2 - This paper studies the graphical game for multi-agent systems with Lipschitz nonlinear dynamics over directed graphs. First, a distributed optimal control policy is presented to ensure the leader-following consensus. Then, a modified cost function in the framework of graphical games is designed such that the weighting matrix is time-varying and relies on the Lipschitz nonlinearity, leading to the global Nash equilibrium. A simulation study is finally provided.

AB - This paper studies the graphical game for multi-agent systems with Lipschitz nonlinear dynamics over directed graphs. First, a distributed optimal control policy is presented to ensure the leader-following consensus. Then, a modified cost function in the framework of graphical games is designed such that the weighting matrix is time-varying and relies on the Lipschitz nonlinearity, leading to the global Nash equilibrium. A simulation study is finally provided.

KW - Lipschitz nonlinearity

KW - Multi-agent systems

KW - graphical games

UR - https://www.scopus.com/pages/publications/105016659365

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DO - 10.1049/cth2.70075

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JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

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Distributed Control for Lipschitz Nonlinear Systems on Graphical Game Framework

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