Paper Citation Record · LEDGER

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics

As of 22 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2607.25658.

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

pith.paper-citation-record.v1
2607.25658 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T01:57:10.208298Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T05:08:49.817278Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact0
verified fuzzy0
unresolved36
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb410437-6b0e-4ef4-a269-55b8c82ab38e · outbound

This paper cites Constrai ned model predictive control: Stability and optimality,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Constrai ned model predictive control: Stability and optimality,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:09.972483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21f5dea3-eddf-4c72-85eb-ad594b6f1d28 · outbound

This paper cites V erl, A.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics V erl, A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:09.977504Z

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Unavailable: canonical work link unavailable.

Observation c1f1ca7f-93e2-4498-90e3-031150216eb3 · outbound

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

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Hamiltonian systems and transformation in hilbert space,

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:09.982323Z

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Observation b30e0b82-bd1e-4fe9-b081-ac7f80e057a3 · outbound

This paper cites Linear model predictive contr ol with lifted bilinear models by Koopman-based approach,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Linear model predictive contr ol with lifted bilinear models by Koopman-based approach,

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:09.986366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67f426e9-b93f-4e16-8599-0216bc94ba1d · outbound

This paper cites Extending data-driven Koopman analysis to ac tuated systems,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Extending data-driven Koopman analysis to ac tuated systems,

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:09.990748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b314139-a15b-4f54-868d-5c781b2f02f6 · outbound

This paper cites Koopman operator based observer synthesis f or control- afﬁne nonlinear systems,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Koopman operator based observer synthesis f or control- afﬁne nonlinear systems,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:09.994872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a88cb8dd-94a3-4394-b471-be1bc93cb5a9 · outbound

This paper cites Advantages of biline ar Koopman realizations for the modeling and control of systems with un known dynamics,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Advantages of biline ar Koopman realizations for the modeling and control of systems with un known dynamics,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:09.999362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b341bdf1-e1e6-48a4-bde6-0b382387129c · outbound

This paper cites Robust t ube- based model predictive control with Koopman operators,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Robust t ube- based model predictive control with Koopman operators,

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.003166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f66c5774-3095-4a1a-b993-93250e7aa3d5 · outbound

This paper cites Robust mod el predictive control with data-driven Koopman operators,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Robust mod el predictive control with data-driven Koopman operators,

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.006869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c74a453c-99c6-44a8-b6e8-3098b142e59a · outbound

This paper cites Learning-based robust mode l pre- dictive control with data-driven Koopman operators,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Learning-based robust mode l pre- dictive control with data-driven Koopman operators,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.010688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 388aa591-7664-461f-b8bf-8f5791104f95 · outbound

This paper cites Koopman-base d hybrid modeling and zonotopic tube robust mpc for motion control of automated vehicles,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Koopman-base d hybrid modeling and zonotopic tube robust mpc for motion control of automated vehicles,

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.014749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f80181c5-cb65-4cfc-a363-a0e0913727e0 · outbound

This paper cites Koopman-based robust model predictive control with online identiﬁcation for nonlinea r dynamical systems,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Koopman-based robust model predictive control with online identiﬁcation for nonlinea r dynamical systems,

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.018458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb5222cd-d888-4627-bd5e-d99571efdcc0 · outbound

This paper cites Koop man data- driven predictive control with robust stability and recurs ive feasibility guarantees,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Koop man data- driven predictive control with robust stability and recurs ive feasibility guarantees,

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.121219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df6d8dc7-8566-47d1-b81d-7f4cc463cc8f · outbound

This paper cites Data-driven Koopman mpc using mixed stochastic–deterministic tubes,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Data-driven Koopman mpc using mixed stochastic–deterministic tubes,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.125198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eefe99b9-c853-4122-ab03-83f15a2f114b · outbound

This paper cites Model predictive control wit h model error compensation by Koopman approach,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Model predictive control wit h model error compensation by Koopman approach,

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.129006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33dbffd8-c7e3-4dc8-8b84-1505e20ba148 · outbound

This paper cites Lifted bilinear model-based linear model predictive control with scalability,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Lifted bilinear model-based linear model predictive control with scalability,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.132973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1c4b9a9-0f75-4350-9692-fab4904fc113 · outbound

This paper cites Data-driven mode l predictive control using interpolated Koopman generators,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Data-driven mode l predictive control using interpolated Koopman generators,

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.136644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42eef6ff-5dc6-4de0-8ca6-894152f45698 · outbound

This paper cites Koopman nmpc: Koopman- based learning and nonlinear model predictive control of control -afﬁne systems,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Koopman nmpc: Koopman- based learning and nonlinear model predictive control of control -afﬁne systems,

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.140206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24a0cbc0-7fee-4405-b917-b0407df6574a · outbound

This paper cites Data-drive n feedback stabilisation of nonlinear systems: Koopman-based model p redictive control,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Data-drive n feedback stabilisation of nonlinear systems: Koopman-based model p redictive control,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.143918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ee55510-613e-4dd9-b274-9c14a33c190e · outbound

This paper cites Data-driven mpc with terminal conditions in the Koo pman framework,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Data-driven mpc with terminal conditions in the Koo pman framework,

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.147590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c752a629-6909-426a-b982-9cf48e111f95 · outbound

This paper cites Data-driven model predictive control: Asymptotic stabil ity despite approximation errors exempliﬁed in the Koopman framework,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Data-driven model predictive control: Asymptotic stabil ity despite approximation errors exempliﬁed in the Koopman framework,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.151853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 066c19f2-83bb-4b10-bd72-339234df85c1 · outbound

This paper cites Data-enabled predictive control for no nlinear sys- tems based on a Koopman bilinear realization,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Data-enabled predictive control for no nlinear sys- tems based on a Koopman bilinear realization,

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.155513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3047e021-4867-4550-8354-27a9c5bc16b2 · outbound

This paper cites Data- driven mpc with stability guarantees using extended dynamic mode d ecom- position,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Data- driven mpc with stability guarantees using extended dynamic mode d ecom- position,

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.159126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7877023-5602-484f-bc2e-148084bd544b · outbound

This paper cites Control contrac tion metrics: Convex and intrinsic criteria for nonlinear feedback desig n,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Control contrac tion metrics: Convex and intrinsic criteria for nonlinear feedback desig n,

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.163258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6714e4ad-a1ad-442f-8787-4735d3062590 · outbound

This paper cites Tube-certiﬁed trajectory tracking for nonlinear systems with robust control contraction metrics,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Tube-certiﬁed trajectory tracking for nonlinear systems with robust control contraction metrics,

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.167061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 747d10aa-29bd-49fc-8f24-8fe61d7ccd3b · outbound

This paper cites Robust adaptiv e mpc using control contraction metrics,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Robust adaptiv e mpc using control contraction metrics,

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.170787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 006ebab5-fe54-47e0-a027-f4cb5b65ec4b · outbound

This paper cites Tube-based mpc for two-timescale discrete-time nonlinear processes with robust control con traction met- rics*,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Tube-based mpc for two-timescale discrete-time nonlinear processes with robust control con traction met- rics*,

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.174573Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf824054-c877-4f6f-9a8d-ac5faa9029b7 · outbound

This paper cites Tube mpc-based tracking control of auvs using contraction metric,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Tube mpc-based tracking control of auvs using contraction metric,

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.178326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d28c1eba-5cc9-46dd-adaf-c9c9bf57ef08 · outbound

This paper cites Lea rning an approximate model predictive controller with guarantee s,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Lea rning an approximate model predictive controller with guarantee s,

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.182132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 886dda38-c1d4-45ac-9e33-c5609f897f0a · outbound

This paper cites Statistical learning the ory: Models, concepts, and results,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Statistical learning the ory: Models, concepts, and results,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.185781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df770ec2-8249-40de-9cdc-40614e846c7b · outbound

This paper cites Kernel-based error bounds of bilinear Koopman surrogate m odels for nonlinear data-driven control,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Kernel-based error bounds of bilinear Koopman surrogate m odels for nonlinear data-driven control,

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.189545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77c42360-b502-4066-9a91-fcb48c5ec94a · outbound

This paper cites Safedmd: A Koopman-based data-driven controller design f ramework for nonlinear dynamical systems,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Safedmd: A Koopman-based data-driven controller design f ramework for nonlinear dynamical systems,

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.193185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad782316-1a12-495e-9c4f-11aac7e305e3 · outbound

This paper cites Control contraction metr ic synthesis for discrete-time nonlinear systems,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Control contraction metr ic synthesis for discrete-time nonlinear systems,

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.196699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 782ae5ed-d837-4dd4-b589-4c82dccec79c · outbound

This paper cites Nonlinear stabilizatio n via con- trol contraction metrics: A pseudospectral approach for co mputing geodesics,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics Nonlinear stabilizatio n via con- trol contraction metrics: A pseudospectral approach for co mputing geodesics,

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.200641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ad00e1b-fcd3-4506-8402-9166539a430b · outbound

This paper cites CasADi – A software framework for nonlinear optimization a nd optimal control,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics CasADi – A software framework for nonlinear optimization a nd optimal control,

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.204524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a6ee8ac-6de6-4407-a20e-428a2cdead3b · outbound

This paper cites On the implementation of an i nterior-point ﬁlter line-search algorithm for large-scale nonlinear pro gramming,.

Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics On the implementation of an i nterior-point ﬁlter line-search algorithm for large-scale nonlinear pro gramming,

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-01T01:57:10.208298Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation f56f4ea9-2239-436e-b0e2-6e365550765c · inbound

Tube MPC for Bilinear Koopman Models using Robust Control Contraction Metrics cites this paper.

Tube MPC for Bilinear Koopman Models using Robust Control Contraction Metrics Bilinear Koopman-Based Robust Model Predictive Control for Unknown Nonlinear Systems via Contraction Metrics

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T05:08:49.817278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.