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.
Authors
- Rongxin Cui (ORCID: https://orcid.org/0000-0002-8006-3620)
- Shouxu Zhang (ORCID: https://orcid.org/0000-0002-1765-7979)
- Weisheng Yan (ORCID: https://orcid.org/0000-0002-6789-4411)
- Hamid Reza Karimi (ORCID: https://orcid.org/0000-0001-7629-3266)
- Long Zhang (ORCID: https://orcid.org/0009-0005-2979-6545)
- Zhuo Zhang (ORCID: https://orcid.org/0000-0003-3634-2494)
- Junli Zhang (ORCID: https://orcid.org/0000-0002-8671-2417)
Institutions
- Northwestern Polytechnical University (CN)
- Politecnico di Milano (IT)
Publication Details
- Journal
- IET Control Theory and Applications
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1049/cth2.70075
- Primary Topic
- Distributed Control Multi-Agent Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00