Paper Citation Record · LEDGER

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems

As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2608.11461.

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

pith.paper-citation-record.v1
2608.11461 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:17:47.462683Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

33 of 33 outbound references displayed

verified exact1
verified fuzzy24
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9b05d87c-d549-48ac-9498-8ca22f961cd5 · outbound

This paper cites Haptics,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Haptics,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.828929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 418cf47d-ad8a-4c3c-aa35-bccf79e01690 · outbound

This paper cites Force feedback is noticeably different for linear versus nonlinear elastic tissue models,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Force feedback is noticeably different for linear versus nonlinear elastic tissue models,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.819221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0809f474-50a6-46db-9c15-6e21906187b9 · outbound

This paper cites Haptic rendering in virtual environments,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Haptic rendering in virtual environments,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.809241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cb0df0fd-c2e0-4ef7-8af5-f2a0d93e69a8 · outbound

This paper cites Ro- bust nonlinear neural network-based control of a haptic interaction with an admittance type virtual environment,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Ro- bust nonlinear neural network-based control of a haptic interaction with an admittance type virtual environment,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.799007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5f5c8db5-193d-4ca9-9ce4-3d2972688ccb · outbound

This paper cites A physics-driven neural networks-based simulation system (phynness) for multimodal interactive virtual environments involving nonlinear deformable objects,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems A physics-driven neural networks-based simulation system (phynness) for multimodal interactive virtual environments involving nonlinear deformable objects,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.788751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 59230d07-d0d9-44e5-9eb2-387c69001695 · outbound

This paper cites Passivity of a class of sampled-data systems: Application to haptic interfaces,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Passivity of a class of sampled-data systems: Application to haptic interfaces,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.777690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b2d37159-9b9c-4135-864e-3073d42299de · outbound

This paper cites Time-domain passivity control of haptic interfaces,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Time-domain passivity control of haptic interfaces,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.766146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6ae674eb-f672-488c-9a9f-b83262daf1a6 · outbound

This paper cites Time domain passivity control with reference energy following,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Time domain passivity control with reference energy following,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.755347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f49e7b51-50f1-4960-aacb-88fa107db606 · outbound

This paper cites Stable haptic interaction with virtual environments,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Stable haptic interaction with virtual environments,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.744357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8ddf79dc-8e6b-4cda-854f-ca894c3491f8 · outbound

This paper cites Revisiting Llewellyn’s absolute sta- bility criterion for bilateral teleoperation systems under non-passive operator or environment,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Revisiting Llewellyn’s absolute sta- bility criterion for bilateral teleoperation systems under non-passive operator or environment,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.733617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 23a37810-7566-4d0b-97b1-b862ebef5886 · outbound

This paper cites Passive implementa- tion for a class of static nonlinear environments in haptic display,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Passive implementa- tion for a class of static nonlinear environments in haptic display,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.723010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ab7deee8-a82a-4ab7-8683-4aa1a64a05d6 · outbound

This paper cites Guaranteed stability of haptic systems with nonlinear virtual environments,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Guaranteed stability of haptic systems with nonlinear virtual environments,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.712015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c830d3d6-0df6-469f-aa40-6849d5d96234 · outbound

This paper cites Modern Koopman Theory for Dynamical Systems.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Modern Koopman Theory for Dynamical Systems

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T14:17:47.389309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0ffede4-f8fc-4b75-91c1-6daa4ec4a359 · outbound

This paper cites Sastry,Nonlinear systems: analysis, stability, and control.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Sastry,Nonlinear systems: analysis, stability, and control

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.701394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c2183e47-02cd-4045-97e8-c626682357c4 · outbound

This paper cites Structural dynamics and resonance in plants with nonlinear stiffness,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Structural dynamics and resonance in plants with nonlinear stiffness,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.690324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation de77e892-4cf2-4a98-9cb3-dadeb1ce74c6 · outbound

This paper cites Operator is the Model.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Operator is the Model

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:17:47.516468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a0afcf1b-54be-4388-844d-12fbd327c1fb · outbound

This paper cites Applied koopmanism,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Applied koopmanism,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.679161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5c4ba135-b7b2-4b6a-95c0-b2fa5db3fa0c · outbound

This paper cites Mauroy, Y Susuki, and I.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Mauroy, Y Susuki, and I

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.667491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e9434af1-b517-4fef-94bf-7c36eda2f01e · outbound

This paper cites Adversarial dynamical systems characterize when data-driven learning succeeds or fails.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Adversarial dynamical systems characterize when data-driven learning succeeds or fails

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T14:17:47.411192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7140178-064f-4a35-98be-8a6eb428cd41 · outbound

This paper cites an unresolved cited work.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:17:47.655154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 550a2d6e-ae25-431e-aad2-a0ab43914ec9 · outbound

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

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Generalizing koopman theory to allow for inputs and control,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.642734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d736dba5-6e6f-4ef3-8847-9c3bc9579a95 · outbound

This paper cites Closed-loop Koopman operator ap- proximation,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Closed-loop Koopman operator ap- proximation,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.631681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8746298c-c768-4552-b346-912c0d9261ab · outbound

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

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T14:17:47.425942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d1832a3-320b-400d-916d-717d2c3ca283 · outbound

This paper cites an unresolved cited work.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T14:17:47.429309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8548bf3-975b-4736-b46c-539676fbf607 · outbound

This paper cites System norm regularization methods for Koopman operator approximation,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems System norm regularization methods for Koopman operator approximation,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.609298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 52cf2ac1-11e4-415e-bb93-3c4c1eda6914 · outbound

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

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems A data–driven approximation of the koopman operator: Extending dynamic mode decomposition,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.599489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6b8e8b11-72fe-4036-9552-9eafb5e8ff0f · outbound

This paper cites Dahdah and J.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Dahdah and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.588818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9cc36085-c3c0-4216-9912-a1f43564e7fb · outbound

This paper cites an unresolved cited work.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T14:17:47.443388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f2acac4-a60b-46aa-888e-198df5e2c9b4 · outbound

This paper cites Lyapunov Theory for Discrete Time Systems.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Lyapunov Theory for Discrete Time Systems

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T14:17:47.446817Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7ad1b9f-113e-4271-80fb-29835787c78d · outbound

This paper cites Dynamics of coupled haptic sys- tems,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Dynamics of coupled haptic sys- tems,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.572014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cab1daf1-f867-4ab7-b9db-fa7b50d76726 · outbound

This paper cites an unresolved cited work.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:17:47.560402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 00ffc663-a56e-4c9d-a246-26a0c6103008 · outbound

This paper cites Learning data- driven stable koopman operators,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Learning data- driven stable koopman operators,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.549667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4ebf9465-3d46-4fe2-ad11-427546031427 · outbound

This paper cites Wilcoxon signed-rank test,.

Koopman Representation of Nonlinear Virtual Environments in Kinesthetic Haptic Systems Wilcoxon signed-rank test,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:17:47.537341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.