From Cycle Space to Cycle Manifold: Limits and Achievability of Blind False Data Injection Attacks
A false data injection attack (FDIA) can change the estimated grid state while evading a residual-based bad data detector (BDD). Existing blind attacks learn a low-rank measurement subspace, but this algebraic view does not state the physical grid constraints that make an attack stealthy or the minimum information needed to recover the complete attack space. Under the connected direct-current (DC) branch-flow model, we show that the residual-sensitive subspace of the noiseless orthogonal test is exactly the weighted cycle space. Its orthogonal complement is therefore the complete stealthy attack space, making weighted cycle-space knowledge both necessary and sufficient for complete blind ...
| Authors | Xin Li, Chenhan Xiao, Jonathan Cohen et al. |
|---|---|
| Primary category | cs.CR |
| Published | 9 September 2026 |
| Last updated at source | 9 September 2026 |
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