Observer / CONCEPT
Observability Gramian Kernel and Energy
The stable ordinary observability Gramian has the all-future readout kernel, its quadratic form is total future output energy, and that energy vanishes exactly on states with no future output.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
The ordinary Gramian kernel is the all-future kernel
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
- Controllability Gramian Reachable Rangestructural-affinity · Closed
- Discounted Observability Energy Identitystructural-affinity · Closed
- Discounted Observability Gramian Equationstructural-affinity · Closed
- Discounted Observability Gramian Kernelstructural-affinity · Closed
- Discounted Observability Gramian Positivitystructural-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
- Maximal Unobservable Subspacestructural-affinity · Closed
- Observable Krylov Growth Boundstructural-affinity · Closed
- Observable Krylov Permanent Stabilitystructural-affinity · Closed
- Reachable Observable Quotient Reachabilitystructural-affinity · Closed
- Zero Memory Criterionstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance