Observer / CONCEPT
Zero Memory Criterion
The all-future kernel is the maximal invariant part of the current kernel, and its quotient vanishes exactly when the dynamics descends through the observation.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES3
PROOF DEPTH0
DOCUMENT LINKS1
The eventual kernel is currently invisible
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Controllability Gramian Reachable Rangestructural-affinity · Closed
- Infinite Observability Orthogonal Dualitystructural-affinity · Closed
- Memory Dimension Formulastructural-affinity · Closed
- Observability Gramian Kernel and Energystructural-affinity · Closed
- Observable Krylov Growth Boundstructural-affinity · Closed
- Reachable Observable Quotient Reachabilitystructural-affinity · Closed
- Reflection Unit Memory Residualstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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