A new matrix zonotope perturbation method with coefficient-space approximation enables faster and less conservative data-driven reachability analysis than prior CMZ or MZ approaches.
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Compiles a list of equivalent formulations of Hilbert's Nullstellensatz in infinite dimensions and proves persistence of the strong Nullstellensatz in large polynomial rings.
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Data-Driven Reachability Analysis Using Matrix Perturbation Theory
A new matrix zonotope perturbation method with coefficient-space approximation enables faster and less conservative data-driven reachability analysis than prior CMZ or MZ approaches.
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Infinite Versions of Hilbert's Nullstellensatz
Compiles a list of equivalent formulations of Hilbert's Nullstellensatz in infinite dimensions and proves persistence of the strong Nullstellensatz in large polynomial rings.