Collaborative Indirect Influencing and Control on Graphs using Graph Neural Networks
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909696335544320 |
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| author | Gardenswartz, Max L. Fallin, Brandon C. Nino, Cristian F. Dixon, Warren E. |
| author_facet | Gardenswartz, Max L. Fallin, Brandon C. Nino, Cristian F. Dixon, Warren E. |
| contents | This paper presents a novel approach to solving the indirect influence problem in networked systems, in which cooperative nodes must regulate a target node with uncertain dynamics to follow a desired trajectory. We leverage the message-passing structure of a graph neural network (GNN), allowing nodes to collectively learn the unknown target dynamics in real time. We develop a novel GNN-based backstepping control strategy with formal stability guarantees derived from a Lyapunov-based analysis. Numerical simulations are included to demonstrate the performance of the developed controller. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_14409 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Collaborative Indirect Influencing and Control on Graphs using Graph Neural Networks Gardenswartz, Max L. Fallin, Brandon C. Nino, Cristian F. Dixon, Warren E. Systems and Control This paper presents a novel approach to solving the indirect influence problem in networked systems, in which cooperative nodes must regulate a target node with uncertain dynamics to follow a desired trajectory. We leverage the message-passing structure of a graph neural network (GNN), allowing nodes to collectively learn the unknown target dynamics in real time. We develop a novel GNN-based backstepping control strategy with formal stability guarantees derived from a Lyapunov-based analysis. Numerical simulations are included to demonstrate the performance of the developed controller. |
| title | Collaborative Indirect Influencing and Control on Graphs using Graph Neural Networks |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2507.14409 |