Carrasco's Conjecture on the O'Shea-Zames-Falb Test
Is the O'Shea-Zames-Falb multiplier test necessary for robust stability of Lur'e systems with slope-restricted nonlinearities, as conjectured by Carrasco? No: there is a stable Lur'e interconnection, certified by a full-block multiplier, that admits no OZF multiplier.
Exact FrontierDelta
Scope and record
Occurred: Jul 26, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Carrasco's Conjecture on the O'Shea-Zames-Falb Test · Carrasco/OZF conjecture
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Andrey Kharitenko
human · human collaborator
ChatGPT 5.5
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to Andrey Kharitenko
This event attributed to ChatGPT 5.5