trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

Discounted Observability Gramian Kernel

The discounted observability Gramian kernel is the all-future readout kernel.

Closed Authored exposition
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

The Gramian kernel is the all-future readout kernel

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Direct recorded relationships
Discounted Observability Gramian PositivityDiscounted ObservabilityGramian PositivityMaximal Unobservable SubspaceMaximal Unobservable SubspaceDiscounted Observability Gramian KernelDiscounted ObservabilityGramian KernelFinite Observability EquivalenceFinite ObservabilityEquivalence
Proof dependencyStructural affinityDocument link

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LIBRARY / RELEASE VERSIONS

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
2
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/Linear/DiscountedObservabilityGramianKernel
Repository path
D5/S3/Observer/Linear/DiscountedObservabilityGramianKernel.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.