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Paper Citation Record · LEDGER

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting

As of 9 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2508.08259.

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

pith.paper-citation-record.v1
2508.08259 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:59:14.729169Z

measured 24 of 24 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

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Reference resolution

24 of 24 outbound references displayed

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External citation measurements

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Outbound references

Observation 0dca7705-3f3a-452f-ac92-5bc2fe29f79f · outbound

This paper cites A simple controller for omnidirectional trotting of quadrupedal robots: Command following and waypoint tracking,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting A simple controller for omnidirectional trotting of quadrupedal robots: Command following and waypoint tracking,

Reference 1

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source=pdf_text observed=2026-08-06T15:59:12.407850Z digest=sha256:621247529d913ddd8a8054cfbf389269bd57d14db72a4c65f2a05e345de47681

Observation 29cf7b3d-3758-436c-824e-378bec3d4e66 · outbound

This paper cites Low-bandwidth reflex-based control for lower power walking: 65 km on a single battery charge,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Low-bandwidth reflex-based control for lower power walking: 65 km on a single battery charge,

Reference 2

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raw_fallback, observed 2026-08-06T15:59:16.580900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:12.472425Z digest=sha256:2a868705d2e11a4f8f45cae33635c447aaa4bda0af6e46c5eefc172296feec6b

Observation 18024c12-b664-4b5e-9d1e-41635b3370a3 · outbound

This paper cites Highly Dynamic Quadruped Locomotion via Whole-Body Impulse Control and Model Predictive Control.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Highly Dynamic Quadruped Locomotion via Whole-Body Impulse Control and Model Predictive Control

Reference 3

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source=pdf_text observed=2026-08-06T15:59:12.575523Z digest=sha256:79ce8540165d7e9c899b42c24f7ba03532c2afed7f68d0dbd4d0515a353a5fb2

Observation c05dee1c-ab57-49c2-bd78-fc36a13a4cd3 · outbound

This paper cites Representation-free model predictive control for dynamic motions in quadrupeds,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Representation-free model predictive control for dynamic motions in quadrupeds,

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:12.680852Z digest=sha256:11a86490aa4f1428029a7eebebd3edaa236ae54672521f468727aa4d7cef5dab

Observation 96a7d1cb-d60b-4718-8286-cee98742e796 · outbound

This paper cites Whole-body nonlinear model predictive control through contacts for quadrupeds,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Whole-body nonlinear model predictive control through contacts for quadrupeds,

Reference 5

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source=pdf_text observed=2026-08-06T15:59:12.779903Z digest=sha256:751c884ee04e13d32a8855fe83bcd773f5d4fa7ff031e677b7992037fbad8807

Observation 5318b709-8879-462a-ba0e-6721a001a7d6 · outbound

This paper cites GenLoco: Generalized Locomotion Controllers for Quadrupedal Robots.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting GenLoco: Generalized Locomotion Controllers for Quadrupedal Robots

Reference 6

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source=pdf_text observed=2026-08-06T15:59:12.891564Z digest=sha256:49d10dce236ed3813831d6c6ebffc4e67d3495d2123c422059f51a96203495d7

Observation 669fbda9-3fc0-4d51-ae98-1de1d68b9147 · outbound

This paper cites Learning torque control for quadrupedal locomotion,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Learning torque control for quadrupedal locomotion,

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:12.996540Z digest=sha256:a96fa367140d139f142ca9afa2ec2610a7dda8896aab18b06e5db9b9cb70817b

Observation e5e607db-27b1-4a3c-877c-8f81ec579b05 · outbound

This paper cites Dtc: Deep tracking control,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Dtc: Deep tracking control,

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:13.108333Z digest=sha256:4b79f5cece426ff2015f7277ddc87f2a0e6611fe3b40f0868e1ef1a40eb3bdec

Observation 5a46c37f-3a06-4601-b8bb-05b01d1bdb82 · outbound

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

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Hamiltonian systems and transformation in hilbert space,

Reference 9

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source=pdf_text observed=2026-08-06T15:59:13.219605Z digest=sha256:496462764feb96485ba289dae9fe5ca65bf1788ebaf959295b746dfa11e23ada

Observation 81687397-fc8a-4912-befd-0c60f1d55d7b · outbound

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

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting A data–driven approximation of the koopman operator: Extending dynamic mode decomposition,

Reference 10

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source=pdf_text observed=2026-08-06T15:59:13.313851Z digest=sha256:273e2f9271abb3e22a79179322ab90f9b3d3f2b3d411ad95789f680f502889d2

Observation 8c93e55f-61ba-403e-abb2-f7451f5df8d3 · outbound

This paper cites Se (3) koopman-mpc: Data-driven learning and control of quadrotor uavs,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Se (3) koopman-mpc: Data-driven learning and control of quadrotor uavs,

Reference 11

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source=pdf_text observed=2026-08-06T15:59:13.412353Z digest=sha256:55c36b33cd79523aff1a4fca0f80196bb59603afb347d8748283c81a3a80cf68

Observation bf2f9459-f116-4dd0-9434-561f9e4a7640 · outbound

This paper cites Enhanced koopman operator-based robust data-driven control for 3 degree of freedom autonomous un- derwater vehicles: A novel approach,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Enhanced koopman operator-based robust data-driven control for 3 degree of freedom autonomous un- derwater vehicles: A novel approach,

Reference 12

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source=pdf_text observed=2026-08-06T15:59:13.521513Z digest=sha256:70de567c60952487f498815ac50e93a58430826758e3872a5159f8043ec30139

Observation ca89ebba-f24c-4ec8-ba09-9c50b819c9c7 · outbound

This paper cites Model predictive control of an autonomous vehicle,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Model predictive control of an autonomous vehicle,

Reference 13

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source=pdf_text observed=2026-08-06T15:59:13.623557Z digest=sha256:bf54a70c8ef62c3e996bead4fa33f226e8b94b5b4a12738bdb262cc83890a3fe

Observation c9bf0611-9aa7-4dc4-a673-7fb69d7bcd6c · outbound

This paper cites Acd-edmd: Analytical construction for dictio- naries of lifting functions in koopman operator-based nonlinear robotic systems,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Acd-edmd: Analytical construction for dictio- naries of lifting functions in koopman operator-based nonlinear robotic systems,

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:13.756952Z digest=sha256:ca2853a302ce8141332eb78fcb9a719ccda2bb0e40d875105e2a51efa84f8f72

Observation 0cc4beff-b7c1-4eb8-bec3-bfac3a01814e · outbound

This paper cites Data-driven control of soft robots using koopman operator theory,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Data-driven control of soft robots using koopman operator theory,

Reference 15

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source=pdf_text observed=2026-08-06T15:59:13.843073Z digest=sha256:23a5be4ccd16bb8b2bd047f52439a89920618203679ed729f98e9d7c8425c5cc

Observation ba8b592b-8fb3-4cd2-b8ab-b25a339b09fe · outbound

This paper cites Dynamic locomotion in the mit cheetah 3 through convex model-predictive control,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Dynamic locomotion in the mit cheetah 3 through convex model-predictive control,

Reference 16

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:13.947779Z digest=sha256:c8ddd2ad69d52ec73ff67b7f257956bb09c5246cc80ed9335968011391e283ee

Observation cecefe23-4bbd-4601-80d6-5a087ae1eaa8 · outbound

This paper cites Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the koopman operator,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the koopman operator,

Reference 17

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:14.030275Z digest=sha256:e73109c4d3b540be318c267d2d0784f0cf21294f3f7a426176b0be769702c2c9

Observation 47544705-e266-4710-8201-e010e2e8a3d4 · outbound

This paper cites Mujoco: A physics engine for model-based control,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Mujoco: A physics engine for model-based control,

Reference 18

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source=pdf_text observed=2026-08-06T15:59:14.130518Z digest=sha256:7769c9b1120a08178ce6844de3d784976b239f11b0248a162b4dda4b18013b10

Observation 490af0f4-b79c-4ba4-a08d-ccd9f0f28cd2 · outbound

This paper cites qpswift: A real-time sparse quadratic program solver for robotic applications,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting qpswift: A real-time sparse quadratic program solver for robotic applications,

Reference 19

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:14.233026Z digest=sha256:b772b272678583df37b93da4e985f607477275ba4a10075e6908a19004f4333d

Observation f251a8bd-ee96-4269-bb8c-09af16d21859 · outbound

This paper cites Identification of dynamics of humanoids: Systematic exciting motion generation,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Identification of dynamics of humanoids: Systematic exciting motion generation,

Reference 20

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:14.314015Z digest=sha256:25cb9c0610db5040a6bc8853ae97eef1c40819a41cd0e1ba3ab0f6c1e0e78724

Observation 536ca530-1201-4d87-bbc5-87a3822abfc9 · outbound

This paper cites Dual faceted linearization of nonlinear dynamical systems based on physical modeling theory,.

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Dual faceted linearization of nonlinear dynamical systems based on physical modeling theory,

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:14.415452Z digest=sha256:f0896ed7062dfb8ff8efa33dcff06285bbde3a50813e88aeeeae683af3a1fb17

Observation c9f98809-4dc2-47ac-a0df-813c92562580 · outbound

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

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Advantages of bilinear koopman realizations for the modeling and control of systems with unknown dynamics,

Reference 22

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:14.494622Z digest=sha256:9dcabe214e52f83911dc718931c11b50ef57e9224b6d6500a830f425655a212b

Observation 5c21a668-9ad5-45f7-9ba4-86a5c95c44ec · outbound

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

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Koopman nmpc: Koopman-based learning and nonlinear model predictive control of control-affine systems,

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:14.624126Z digest=sha256:e33b2a7fd60dd9a6dd9f0745fb33df2b08861af6b50f27eced8b7f3c9ea1e5bd

Observation 9766f741-4262-4b7e-b0d5-ede6d2d97541 · outbound

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

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting Autonomous driving using linear model predictive control with a koopman operator based bilinear vehicle model,

Reference 24

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T15:59:14.729169Z digest=sha256:be00b4789a787862f9bca84ebab20686b5c1305f243bb06cf347c35460ec6fe8

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