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Paper Citation Record · LEDGER

Koopman Representations of Dynamic Systems with Control

As of 17 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:1908.02233.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.02233 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:00:09.982826Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:41:06.552887Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T20:41:10.232730Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation de3e1ec7-6f11-4965-a64b-56ea2035ec19 · outbound

This paper cites Applied koopmanis m,.

Koopman Representations of Dynamic Systems with Control Applied koopmanis m,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.201720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:00:09.921044Z digest=sha256:bdb84ba787eb9bfa476e7bd205e717897dc42c343c0ef6396c5c39f6e5aa6162

Observation 18356ee6-5ccf-469b-bf66-a5b656353e4e · outbound

This paper cites Koopman analysis of burgers equation,.

Koopman Representations of Dynamic Systems with Control Koopman analysis of burgers equation,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.188333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:00:09.926030Z digest=sha256:95bc72f93e5aa57d1e2010b19a7d5572b6f88a21bd0ddba67d9e3aa0b3fba5fe

Observation fc0315ab-403b-40ce-8389-60469c042247 · outbound

This paper cites On dynamic mode decomposition: Theory and applications,.

Koopman Representations of Dynamic Systems with Control On dynamic mode decomposition: Theory and applications,

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.930646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.930646Z digest=sha256:edcb51fc5bbc36ddad2e7174d10d12ac6637ba27d8ea6c45277dfcf63054eff6

Observation 8d0e7569-bc14-4412-b0a1-373946dda486 · outbound

This paper cites A data–driven approximation of the koopman operator: Extend ing dynamic mode decomposition,.

Koopman Representations of Dynamic Systems with Control A data–driven approximation of the koopman operator: Extend ing dynamic mode decomposition,

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.166423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:00:09.934930Z digest=sha256:ee3c22878b75cfe0e3afd73da6a80eb31ccdcd3e63067fa48c07c7a14d804aa3

Observation 6f22259f-1a64-4904-96bd-720130e28d3a · outbound

This paper cites Koopman Theory for Partial Differential Equations.

Koopman Representations of Dynamic Systems with Control Koopman Theory for Partial Differential Equations

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.939186Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.939186Z digest=sha256:fe3037686b9cbf94616a6d59015e58b6d30e874ac22d1231fe424df55eb66b82

Observation 67702597-e57c-4398-9527-069af5328591 · outbound

This paper cites Generalizin g koopman theory to allow for inputs and control,.

Koopman Representations of Dynamic Systems with Control Generalizin g koopman theory to allow for inputs and control,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.152393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:00:09.944232Z digest=sha256:44fa408be314b84bf6e78b4b67dd40210636957e071f58d0895ebfa348df7bda

Observation f601f465-0364-498d-bcda-052a707f6db2 · outbound

This paper cites Extending data-driven koopman analysis t o actuated systems,.

Koopman Representations of Dynamic Systems with Control Extending data-driven koopman analysis t o actuated systems,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.137022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:00:09.948985Z digest=sha256:519262ddc5306c4578b99aa8409d00faf365de19e2b8adccf8b3f9e822aad379

Observation 9fcdf06c-3b42-4541-bfc5-d0fc39be0c48 · outbound

This paper cites Linear predictors for nonlinear dynami- cal systems: Koopman operator meets model predictive contr ol,.

Koopman Representations of Dynamic Systems with Control Linear predictors for nonlinear dynami- cal systems: Koopman operator meets model predictive contr ol,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.123821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:00:09.952973Z digest=sha256:bf6e6363f9b9c0ded21e9e128efa0f9aee9ad86e257d3e4ff2cd9f8656e2ce76

Observation ca6a15a6-94db-4e74-99ab-b69f26e44ead · outbound

This paper cites A Kernel-Based Approach to Data-Driven Koopman Spectral Analysis.

Koopman Representations of Dynamic Systems with Control A Kernel-Based Approach to Data-Driven Koopman Spectral Analysis

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.956998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.956998Z digest=sha256:2a3c9ffe28a57d2d05978a447e61d909a8d4519b7cce587f40d8383f329c8b10

Observation 50e59caa-7b9f-45a0-b60b-09f9073c326b · outbound

This paper cites Learning Deep Neural Network Representations for Koopman Operators of Nonlinear Dynamical Systems.

Koopman Representations of Dynamic Systems with Control Learning Deep Neural Network Representations for Koopman Operators of Nonlinear Dynamical Systems

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.961607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.961607Z digest=sha256:80d61c0596520c478e639db46e2757869a0207663724d221f5ea5e1972f62084

Observation a9a39669-b8d9-4f42-8489-cb5349e0fa95 · outbound

This paper cites Ex tended dynamic mode decomposition with dictionary learning: A dat a- driven adaptive spectral decomposition of the koopman oper a- tor,.

Koopman Representations of Dynamic Systems with Control Ex tended dynamic mode decomposition with dictionary learning: A dat a- driven adaptive spectral decomposition of the koopman oper a- tor,

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.110033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:00:09.965878Z digest=sha256:b9f410a9e6521712e03b8730b1c6435a852f2cb966070cb243ea8137203d5686

Observation 56618d3d-58e2-45cf-9b70-35b5bf5896ef · outbound

This paper cites Koopman invariant subspaces and finite linear representat ions of nonlinear dynamical systems for control,.

Koopman Representations of Dynamic Systems with Control Koopman invariant subspaces and finite linear representat ions of nonlinear dynamical systems for control,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.096601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:00:09.970095Z digest=sha256:ae340279e333d0d787fc608cfa832cd91ad9b2a4ea9720c6afa5a002cde269d8

Observation 97b562ca-8fc2-444d-8adc-148d090a67a8 · outbound

This paper cites Dynamic mod e de- composition with control,.

Koopman Representations of Dynamic Systems with Control Dynamic mod e de- composition with control,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:00:10.082750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T15:00:09.974448Z digest=sha256:03cd751dfa00a2a91f821095b27be0b71f3723d12135388d7bbd447ca662f054

Observation 38a8d3b2-3ddc-4b83-9d73-1f22833b2115 · outbound

This paper cites Data-driven discovery of Koopman eigenfunctions for control.

Koopman Representations of Dynamic Systems with Control Data-driven discovery of Koopman eigenfunctions for control

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.978469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.978469Z digest=sha256:87c0c92e74d87256edf405512281ac249472978b431c13b0aa661d57720fd9ce

Observation 9fece94a-2e58-43cd-ab5b-e339c593844c · outbound

This paper cites A data-driven Koopman model predictive control framework for nonlinear flows.

Koopman Representations of Dynamic Systems with Control A data-driven Koopman model predictive control framework for nonlinear flows

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T15:00:09.982826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:00:09.982826Z digest=sha256:4b652e5550d6f97d0b9cd003a572ad484a5b0d5e3d1d943883296b6e09915a7b

Pith citing papers

Observation cf3ace82-f3c9-45cf-8891-979c2d7cdbe5 · inbound

Operator-Theoretic Methods for Differential Games cites this paper.

Operator-Theoretic Methods for Differential Games Koopman Representations of Dynamic Systems with Control

Reference 31

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T20:41:10.327122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-06T20:41:06.552887Z digest=sha256:517736dec32af941365dfa73a35aff7630d3a6f4c8e1adf19fe8a1874414c0df