Observer / CONCEPT
Hankel Minimal State Dimension
Every finite-dimensional realization with the same Markov parameters has dimension at least the stable Hankel rank. The named reachable-observable quotient realization attains that minimum, while raw state dimension is presentation-dependent.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES2
PROOF DEPTH3
DOCUMENT LINKS1
The Hankel rank is the minimum realization dimension
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Diagonal Stein Energy Dualitystructural-affinity · Closed
- Exact Descent Persists at Every Timestructural-affinity · Closed
- ExactGramianSeriesstructural-affinity · Closed
- Finite Samples Do Not Determine Global Hankel Rankstructural-affinity · Closed
- Hankel Rank Minimalitystructural-affinity · Closed
- Minimal Linear Realization from Sequence Datastructural-affinity · Closed
- Minimal Symmetric Realization Uniquenessstructural-affinity · Closed
- Original masked nondegenerate hypermatrix countstructural-affinity · Closed
- Reachable Observable Quotient Descentstructural-affinity · Closed
- Reachable Observable Quotient Reachabilitystructural-affinity · Closed
- Reachable Quotient Observabilitystructural-affinity · Closed
- Reflection Unit Memory Residualstructural-affinity · Closed
- Residual-Certified Linear Model Reductionstructural-affinity · Closed
- Single-State Balanced Truncationstructural-affinity · Closed
- Zero Memory Criterionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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