Observer / CONCEPT
Controllability Gramian Reachable Range
The stable ordinary controllability Gramian has exactly the reachable-state range.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS1
The controllability Gramian range is reachable
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Discounted Observability Energy Identitystructural-affinity · Closed
- Discounted Observability Gramian Equationstructural-affinity · Closed
- Discounted Observability Gramian Kernelstructural-affinity · Closed
- Finite Observability Equivalencestructural-affinity · Closed
- Finite Observability Krylov Criterionstructural-affinity · Closed
- Finite Observability Orthogonal Dualitystructural-affinity · Closed
- Future Readout Quotientstructural-affinity · Closed
- Gramian Behavior-Quotient Metricstructural-affinity · Closed
- Infinite Observability Orthogonal Dualitystructural-affinity · Closed
- Memory Dimension Formulastructural-affinity · Closed
- Observability Gramian Kernel and Energystructural-affinity · Closed
- Reachable Observable Quotient Reachabilitystructural-affinity · Closed
- Reflection Unit Memory Residualstructural-affinity · Closed
- Zero Memory Criterionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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