Multi-Agent System Identification with Nonlinear Sheaf Diffusion
Local interaction laws governing multi-agent systems can be difficult to recover from trajectory data, even when the dynamics are observed faithfully. In systems governed by a nonlinear sheaf Laplacian -- a generalization of the graph Laplacian accommodating heterogeneous state spaces and asymmetric communication channels -- the coordination law is encoded by edge potential functions whose gradients produce the inter-agent forces. Because trajectory observations record node-state evolution, they expose only the aggregate effect of the edge forces at each node: distinct interaction laws that agree at the node level are indistinguishable from trajectory data alone. We show that the fundamen...
| Authors | Nivar Anwer, Hans Riess, Matthew Hale |
|---|---|
| Primary category | eess.SY |
| Published | 11 May 2026 |
| Last updated at source | 11 May 2026 |
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