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

School of Marine Science and Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	e70075
Journal	IET Control Theory and Applications
Volume	19
Issue number	1
DOIs	https://doi.org/10.1049/cth2.70075
State	Published - 1 Jan 2025

Keywords

Lipschitz nonlinearity
Multi-agent systems
graphical games

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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.",

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

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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

U2 - 10.1049/cth2.70075

DO - 10.1049/cth2.70075

M3 - 文章

AN - SCOPUS:105016659365

SN - 1751-8644

VL - 19

JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

IS - 1

M1 - e70075

ER -

Distributed Control for Lipschitz Nonlinear Systems on Graphical Game Framework

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Keywords

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