Observer / CONCEPT
Finite Samples Do Not Determine Global Hankel Rank
Finite unary observations, even with a nonzero first Hankel block, do not determine the minimal dimension of a rational linear realization.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH5
DOCUMENT LINKS1
Identical finite samples with different minimal dimensions
RELATIONSHIP ATLAS
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Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
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RELATED KNOWLEDGE
Structural connections
- Balanced Truncation Tail Boundsstructural-affinity · Closed
- Diagonal Stein Energy Dualitystructural-affinity · Closed
- Exact Descent Persists at Every Timestructural-affinity · Closed
- ExactGramianSeriesstructural-affinity · Closed
- Hankel Minimal State Dimensionstructural-affinity · Closed
- Minimal Linear Realization from Sequence Datastructural-affinity · Closed
- Reachable Quotient Observabilitystructural-affinity · Closed
- Residual-Certified Linear Model Reductionstructural-affinity · Closed
- Single-State Balanced Truncationstructural-affinity · Closed
Documents & exposition
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