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Paper Citation Record · LEDGER

Analytic Optimal Control for a Class of Driftless x-Flat Systems

As of 4 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2604.02249.

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

pith.paper-citation-record.v1
2604.02249 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-13T21:14:08.538820Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:54:50.463510Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

  • verified exact1
  • verified fuzzy16
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 120d546a-afc4-4199-83df-dda4ee156d8e · outbound

This paper cites Lewis, D.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Lewis, D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.399069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:47b3ec162dc9e1c6bb583db2e0a23f22761f3233617d8eb35c6d8b5ea63cd342

Observation 461bade8-2ec4-4d4f-84c7-c090a960ea14 · outbound

This paper cites L ¨ober,Optimal Trajectory Tracking of Nonlinear Dynamical Sys- tems, ser.

Analytic Optimal Control for a Class of Driftless x-Flat Systems L ¨ober,Optimal Trajectory Tracking of Nonlinear Dynamical Sys- tems, ser

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.387597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:8ac3e8ffd220aa24a2a0d3311bb41d9e87bdd8cd9eb2211b89076fcc94e999da

Observation c724798a-9767-4d72-9e5a-dfcf771473fc · outbound

This paper cites Bryson,Applied Optimal Control: Optimization, Estimation and Control, ser.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Bryson,Applied Optimal Control: Optimization, Estimation and Control, ser

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.403008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:821ca6b828f81829a6e42daaead695d59b6d5b783182ee5fbbdc3db1fae09a7d

Observation 0fb4db40-b9e5-4466-9372-31751d39e1dd · outbound

This paper cites Flatness and defect of non-linear systems: introductory theory and examples.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Flatness and defect of non-linear systems: introductory theory and examples

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.406969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:bcd7249bd0b80139fbdd3558da38fa7d8cc4f24c97b9edd082d9a1b316792220

Observation 67c2d263-61a9-46da-859e-e23383422736 · outbound

This paper cites A Lie-B ¨acklund approach to equivalence and flatness of nonlinear systems.

Analytic Optimal Control for a Class of Driftless x-Flat Systems A Lie-B ¨acklund approach to equivalence and flatness of nonlinear systems

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.418169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:73e3b9509089076b92d2e1cabbef3e51f6eda6723a549f89a27ebab39e9792a6

Observation 114aada2-feab-475a-8026-3d53302b6fe4 · outbound

This paper cites Optimal motion planning and energy-based control of a single mast stacker crane.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Optimal motion planning and energy-based control of a single mast stacker crane

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.410745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:f4b6794d4703a245bc051040021845c9b61f21733decc3f6f64941d978683a02

Observation c25a9e8b-a8c9-4752-9c7c-1c99373e64e1 · outbound

This paper cites Optimal control of differen- tially flat systems is surprisingly easy.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Optimal control of differen- tially flat systems is surprisingly easy

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.383701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:b2659ec40510617193fb5244691036dac66f684babc98fc3688a0591e33b1332

Observation 5270834a-7470-4643-a375-bd752e62c030 · outbound

This paper cites Real-time dynamic optimization of nonlinear systems: a flatness-based approach.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Real-time dynamic optimization of nonlinear systems: a flatness-based approach

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.395449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:acfb8e26b017bccbf98d4a80d2d35293efcaf1393eb9043badaabb8b234aca41

Observation dd6f6e59-1856-4f0d-8efa-5ff509a19039 · outbound

This paper cites Control of flat systems by quasi-static feedback of generalized states.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Control of flat systems by quasi-static feedback of generalized states

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.391655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:94de79c1c88341166b7a5a508b07211c128967c690deabc98cc02fd56c426740

Observation d3dd3bb7-ba8d-4a78-bb75-35b46764f817 · outbound

This paper cites Tracking control for(x, u)- flat systems by quasi-static feedback of classical states.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Tracking control for(x, u)- flat systems by quasi-static feedback of classical states

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.422094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:d976d7bb5ba27bd4a090f6873217c978be724e9ec4064c9a9bdcef68d203d92e

Observation 7200ddef-3ab7-4706-8f80-c59c6e23940d · outbound

This paper cites Liberzon,Calculus of Variations and Optimal Control Theory: A Concise Introduction.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Liberzon,Calculus of Variations and Optimal Control Theory: A Concise Introduction

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.426162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:e27878036ea93712b6e2eae19075edd1a7a6ebe0f9293872c32ebeef686f43a2

Observation 5f3ec059-3235-4dad-85c5-81c1331d4d4d · outbound

This paper cites Definitions of order and junction conditions in singular optimal control problems.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Definitions of order and junction conditions in singular optimal control problems

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.430433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:6a191e0523818391d24e79ae73805c6ad994fb3b302a3377a7bd2e6007ab1c95

Observation 0f90e525-8ac2-4e14-ae7e-bf4acaebe38e · outbound

This paper cites Feedback linearization and driftless systems.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Feedback linearization and driftless systems

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.434072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:66eeb417e851b7c7f365cc2ec50694cfb8893369850a6dcdaefe2ad6af2db0fe

Observation 350af3ba-3969-47db-8a9f-af6daf7139bb · outbound

This paper cites Describing and calculating flat outputs of two-input driftless control systems.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Describing and calculating flat outputs of two-input driftless control systems

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.437946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:f3c87600a75bea7fa56c7bc8e0b2eb1e5b8943682f41166ff64ae8be27cf9328

Observation 56bc818d-7c31-4b0b-a224-31063f0c4f61 · outbound

This paper cites Nijmeijer and A.

Analytic Optimal Control for a Class of Driftless x-Flat Systems Nijmeijer and A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.441562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:59a84a1ad22f5bb9dfa3f1bb66b5ca8ee4dbae10b00a1fb1965137a5bc011ef0

Observation c8862ace-89d4-400e-98b6-e010119e9702 · outbound

This paper cites A structurally flat triangular form based on the extended chained form.

Analytic Optimal Control for a Class of Driftless x-Flat Systems A structurally flat triangular form based on the extended chained form

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-14T00:13:30.414271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:b78bbda17f04ba8b8255fe93942db89154c745c7d98d347542a46eb24c9dcec9

Observation d9ad7abe-fab0-44b4-93e3-0e0229b952a2 · outbound

This paper cites A flat triangular structure based on a multi-chained form.

Analytic Optimal Control for a Class of Driftless x-Flat Systems A flat triangular structure based on a multi-chained form

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-13T21:18:17.272867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-13T21:14:08.538820Z digest=sha256:2765ab948f81a9c906c8c803b0b8cea28dd8dc0225f838a9274961cad55bab8b

Pith citing papers

Observation 60de8a66-8e79-4fc7-9e00-70f2bed77616 · inbound

Equilibrium for Regular-Singular Control under Mean-Variance Criterion cites this paper.

Equilibrium for Regular-Singular Control under Mean-Variance Criterion Analytic Optimal Control for a Class of Driftless x-Flat Systems

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T11:54:50.463510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T11:54:50.463510Z digest=sha256:5860584ad45052c05b31498e3fa55c088c5d722fc45f32bdaa5613f93da2a7a9