Distributed Algorithm for the Global Optimal Controller of Nonlinear Multi-Agent Systems
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866910107534622720 |
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| author | Li, Ruixue Yang, Wenjing Zhang, Zhaorong Li, Xun Xu, Juanjuan |
| author_facet | Li, Ruixue Yang, Wenjing Zhang, Zhaorong Li, Xun Xu, Juanjuan |
| contents | In this paper, we investigate the distributed optimal control problem for a kind of nonlinear multi-agent systems. In particular,both the state and the system dynamic structures of each agent are private and can only be shared among communicating agents.This type of information structure is inevitable in fields such as collaborative control for industrial confidentiality, and renders traditional distributed control methods using all systems' dynamic structures ineffective. The primary contribution is the proposal of a distributed algorithm for the global optimal controller under such practical information structure via distributed approximation of the Hamilton-Jacobi-Bellman equation. Practical numerical simulation demonstrates the effectiveness of the proposed algorithm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05443 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distributed Algorithm for the Global Optimal Controller of Nonlinear Multi-Agent Systems Li, Ruixue Yang, Wenjing Zhang, Zhaorong Li, Xun Xu, Juanjuan Optimization and Control 93-08 In this paper, we investigate the distributed optimal control problem for a kind of nonlinear multi-agent systems. In particular,both the state and the system dynamic structures of each agent are private and can only be shared among communicating agents.This type of information structure is inevitable in fields such as collaborative control for industrial confidentiality, and renders traditional distributed control methods using all systems' dynamic structures ineffective. The primary contribution is the proposal of a distributed algorithm for the global optimal controller under such practical information structure via distributed approximation of the Hamilton-Jacobi-Bellman equation. Practical numerical simulation demonstrates the effectiveness of the proposed algorithm. |
| title | Distributed Algorithm for the Global Optimal Controller of Nonlinear Multi-Agent Systems |
| topic | Optimization and Control 93-08 |
| url | https://arxiv.org/abs/2604.05443 |