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.
Distributed Control for Lipschitz Nonlinear Systems on Graphical Game Framework
Karimi, Hamid Reza;
2025-01-01
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.File in questo prodotto:
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