Paper Citation Record · LEDGER

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame

As of 23 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2507.12578.

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

pith.paper-citation-record.v1
2507.12578 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:51:37.708093Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

verified exact2
verified fuzzy30
unresolved10
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c355c55a-c7a7-4982-b654-fe8152fc0078 · outbound

This paper cites Exploring the implications of autonomous vehicles: A comprehensive review,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Exploring the implications of autonomous vehicles: A comprehensive review,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:42.598406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 83e86829-1b2d-4d75-80fe-70c67dd997e8 · outbound

This paper cites A survey of motion planning and control techniques for self-driving urban vehicles,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame A survey of motion planning and control techniques for self-driving urban vehicles,

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T16:51:35.120330Z

Source-reported events for the cited work

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Observation a7be4090-d01c-4a4d-ace7-f6a9315c39b0 · outbound

This paper cites an unresolved cited work.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:51:42.545919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d7fdd3b7-08e2-4734-9818-20062b6f1b3e · outbound

This paper cites An automatic tuning mpc with application to ecological cruise control,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame An automatic tuning mpc with application to ecological cruise control,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:42.481141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation eeddb86e-4326-4296-a064-404e38a6f665 · outbound

This paper cites Control of vehicle trajectory tracking under extreme conditions based on ilqr,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Control of vehicle trajectory tracking under extreme conditions based on ilqr,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:42.365945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3c0ae2df-f966-4710-a326-78abeb4e0e77 · outbound

This paper cites An optimization approach to select koopman observables for data-based modeling using dynamic mode decomposition with control,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame An optimization approach to select koopman observables for data-based modeling using dynamic mode decomposition with control,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:42.280200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fe5275a7-f3c4-4457-8d19-7551f3c81810 · outbound

This paper cites Nonlinear cascade strategy for lon- gitudinal control in automated vehicle guidance,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Nonlinear cascade strategy for lon- gitudinal control in automated vehicle guidance,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:42.191849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 937b0e4e-95ee-4581-a11c-6c2e970217ea · outbound

This paper cites Nonlinear model predictive control for longitudinal and lateral dynamic of autonomous car,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Nonlinear model predictive control for longitudinal and lateral dynamic of autonomous car,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:42.071686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b0d76ae8-18bb-40e5-91ed-92753567010b · outbound

This paper cites Vehicle speed profile optimization for fuel efficient eco-driving via koopman linear predictor and model predictive control,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Vehicle speed profile optimization for fuel efficient eco-driving via koopman linear predictor and model predictive control,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:41.926310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 16353eb5-d6ef-4cfe-a315-d0da19c9d156 · outbound

This paper cites Beyond the stable handling limits: nonlinear model predictive control for highly transient autonomous drifting,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Beyond the stable handling limits: nonlinear model predictive control for highly transient autonomous drifting,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:41.753469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f4ce05c2-b653-4df9-9007-a9796d254042 · outbound

This paper cites an unresolved cited work.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:51:41.604629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1a019a05-ae41-4eb0-b91f-458d2901e149 · outbound

This paper cites Modern koopman theory for dynamical systems,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Modern koopman theory for dynamical systems,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T16:51:36.103361Z

Source-reported events for the cited work

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Observation a9bf4b8d-8c3f-4704-a45c-b1db1076791a · outbound

This paper cites End to End Learning for Self-Driving Cars.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame End to End Learning for Self-Driving Cars

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T16:51:36.182411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f2b70f3-23bc-4c8b-a94c-2b84e07f77cb · outbound

This paper cites Hamiltonian systems and transformation in hilbert space,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Hamiltonian systems and transformation in hilbert space,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:41.378870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cdde9d20-95df-4aff-8086-331c8bb32c15 · outbound

This paper cites Linear predictors for nonlinear dynamical sys- tems: Koopman operator meets model predictive control,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Linear predictors for nonlinear dynamical sys- tems: Koopman operator meets model predictive control,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:41.220179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d3013287-685d-453f-8eb6-7651d728fdf0 · outbound

This paper cites an unresolved cited work.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:51:41.033810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 75eacfbf-2ae5-4b8f-87ce-ae826cb7323c · outbound

This paper cites Learning koopman invariant subspaces for dynamic mode decomposition,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Learning koopman invariant subspaces for dynamic mode decomposition,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:40.865710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2170dc30-d130-4344-8889-8a08906b572e · outbound

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

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Extending data-driven koopman analysis to actuated systems,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:40.700423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 68a3d9ef-0960-4f3d-acc5-7fd8f6da6fa3 · outbound

This paper cites Discovering governing equations from data by sparse identification of nonlinear dynamical systems,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Discovering governing equations from data by sparse identification of nonlinear dynamical systems,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T16:51:36.743680Z

Source-reported events for the cited work

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Observation a9121e03-3b9f-45f1-a100-7a87706f85ab · outbound

This paper cites Dynamic mode decom- position with control,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Dynamic mode decom- position with control,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T16:51:36.809220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6a3a5cd-ccc2-4a46-af9e-2f1e42ffd701 · outbound

This paper cites Physics-Based Causal Lifting Linearization of Nonlinear Control Systems Underpinned by the Koopman Operator.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Physics-Based Causal Lifting Linearization of Nonlinear Control Systems Underpinned by the Koopman Operator

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:51:37.937279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ab4d86d9-8162-4c1b-b0c9-41d446648075 · outbound

This paper cites Advantages of bilinear koopman realizations for the modeling and control of systems with unknown dynamics,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Advantages of bilinear koopman realizations for the modeling and control of systems with unknown dynamics,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T16:51:36.894397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bb177c6-6f94-4f95-b7a5-9821b8f1df85 · outbound

This paper cites Autonomous driving using linear model predictive control with a koopman operator based bilinear vehicle model,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Autonomous driving using linear model predictive control with a koopman operator based bilinear vehicle model,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:40.531385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d52dbdd8-cf8d-4076-a797-864d963c2a07 · outbound

This paper cites Data-driven identification of vehicle dynamics using koopman operator,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Data-driven identification of vehicle dynamics using koopman operator,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:40.368543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a678e780-ad18-4ff3-8063-e9f6fe800f46 · outbound

This paper cites Model predictive control of a vehicle using koopman operator,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Model predictive control of a vehicle using koopman operator,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:40.187272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c019e4e3-c7e9-4084-9bc4-2cebcfb9d445 · outbound

This paper cites Model predictive control of vehicle dynamics based on the koopman operator with extended dynamic mode decomposition,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Model predictive control of vehicle dynamics based on the koopman operator with extended dynamic mode decomposition,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:40.032305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 69f144eb-47b1-48c5-9fd2-157ee1cc1d86 · outbound

This paper cites Data-driven modeling and control for lane keeping system of automated driving vehicles: Koopman operator approach,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Data-driven modeling and control for lane keeping system of automated driving vehicles: Koopman operator approach,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:39.846349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0ac52270-d523-4395-b2bc-c5f18820c8b2 · outbound

This paper cites Deep learning for universal linear embeddings of nonlinear dynamics,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Deep learning for universal linear embeddings of nonlinear dynamics,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:39.680725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0e48e747-2cca-4f8f-99c5-562444a20565 · outbound

This paper cites Deep neural networks with koopman operators for modeling and control of autonomous vehicles,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Deep neural networks with koopman operators for modeling and control of autonomous vehicles,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T16:51:37.225183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 889338b6-d8a5-4455-ad62-a155b7e2dfe2 · outbound

This paper cites Ddk: A deep koopman approach for longitudinal and lateral control of autonomous ground vehicles,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Ddk: A deep koopman approach for longitudinal and lateral control of autonomous ground vehicles,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:39.460901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c9d4fc51-db5f-4a0c-a47e-fadb472dc493 · outbound

This paper cites Multi- step deep koopman network (mdk-net) for vehicle control in frenet frame,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Multi- step deep koopman network (mdk-net) for vehicle control in frenet frame,

Reference 31

Resolution: verified exact; raw_fallback, observed 2026-08-06T16:51:37.863452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation fc54669f-f84e-474d-975e-7de7477ca588 · outbound

This paper cites Spectral properties of dynamical systems, model reduction and decompositions,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Spectral properties of dynamical systems, model reduction and decompositions,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:39.174079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a42d0000-9c90-4e07-ae26-08ec34a1b941 · outbound

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

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Generalizing koopman theory to allow for inputs and control,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:38.937021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 72691e48-0d12-408a-b3e7-c2515b75b42b · outbound

This paper cites Mauroy, Y.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Mauroy, Y

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:38.693586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ff599cf9-8629-46e4-a10a-ab955cb23c6c · outbound

This paper cites Linear system identification versus physical modeling of lateral–longitudinal vehicle dynamics,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Linear system identification versus physical modeling of lateral–longitudinal vehicle dynamics,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:38.539993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3ba2b993-26ba-49c4-afef-b6836907c638 · outbound

This paper cites Deep bilinear koopman realization for dynamics modeling and predictive control,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Deep bilinear koopman realization for dynamics modeling and predictive control,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:38.465511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 81f506e8-da3e-437b-aaa4-8d134d87a8de · outbound

This paper cites Deep bilinear koopman model predictive control for nonlinear dynamical systems,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Deep bilinear koopman model predictive control for nonlinear dynamical systems,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:38.394926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 42b54635-a70d-43aa-8497-aeb2df5c1005 · outbound

This paper cites Study measures how fast humans react to road hazards,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Study measures how fast humans react to road hazards,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:38.322669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 398878ea-b745-4894-8f0d-78bf2db8f63d · outbound

This paper cites Koopman operator-based model identification and control for automated driving vehicle,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Koopman operator-based model identification and control for automated driving vehicle,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:38.249990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e1134b8a-c46b-4fe1-9da7-628cca1c6e63 · outbound

This paper cites K-smpc: Koopman operator-based stochastic model predictive control for enhanced lateral control of autonomous vehicles,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame K-smpc: Koopman operator-based stochastic model predictive control for enhanced lateral control of autonomous vehicles,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:38.168708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 274745cb-289d-46e2-af1b-613d12826f64 · outbound

This paper cites Koopman operator based model predictive control of vehicle dynamics,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Koopman operator based model predictive control of vehicle dynamics,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:38.103236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c08d3933-db35-4829-9895-adfe69f7aecc · outbound

This paper cites Tikhonov regularization and total least squares,.

Deep Bilinear Koopman Model for Real-Time Vehicle Control in Frenet Frame Tikhonov regularization and total least squares,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:51:38.022043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

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