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Paper Citation Record · LEDGER

Koopman Operator Based Linear Model Predictive Control for Quadruped Trotting

As of 14 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 2026-08-13T06:32:02.005865+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

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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:ba2dd9efe660298765df64cff5fbc1c95813ab7b89fe4b5fbdb1dffdd5ddf58a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:12.472425Z digest=sha256:df55fbcf8e70e10ce4febd33400c49d187fcd04264dbfc648ae1c9cffbeb7811

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=sha256:171e9b2a66129cf3561c75cb16902330390f35fc50be456abd81c0bdf5e91f55

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:12.680852Z digest=sha256:618d104de261817ac9db3899f839be666b564d22c41596bea4319d4223da5226

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=sha256:4b13ecfd4059af04cfdbb3e12e73fb27fde97c69becbe6d0c14765cf8882f6a7

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:c8e511556e35826a3e3d6a284103e98235cba6c87fe44437048beb10b309cb8a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:12.996540Z digest=sha256:b4280763dbef50adda9aa8f0c3170a13eafee568127694f2cf3634eb273a5092

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:13.108333Z digest=sha256:64faf1e5965e9148612204595f6725e33d22c60da054348719ee960327994a73

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:f173b6e68669fa4df68dd2caea186cd99c7b961fe1b1110da611e42360ca368c

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=sha256:4c3aa5505e8c2ab42924a1e982b6c92406b471ebcc139cf04875bbbf3d88b6cf

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:a8899e0c17b44a34af196168a06b009206d92b95221d5665948ce7f14e518967

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:fe65b624c9e9f5c45a649ea849ad4eba01480e4053a823c8f4c1a63eac9a0469

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=sha256:65199d5496dbe1c92e7a05b779086eed27d5306071c802e94bf635f544c64b49

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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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:13.756952Z digest=sha256:01bd58da5a69fe25271e6af88224a7a50a49cce4f20b10007866f9c81bfef640

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=sha256:32842d2495659346c8a0f39a4ddcd5d79681c4cf4b0fcf87c354d24674ead55b

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:13.947779Z digest=sha256:6adfbc1af6c2ce042b0047853c84b0d1835f76b25862d9f2d576d9843105a41c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:14.030275Z digest=sha256:1e6762c4a346f6dbadb6195b90b25c70650ce31ffde75ff59765ebdfc68549b8

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=sha256:80ac145fea0194dabf73f6235d3f7781376fd70ad38ca1270ce5ea85acf781f6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:14.233026Z digest=sha256:732a4e8809951541afd2359bc3c21e23d8ef7480b78f191d540fee046504446e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:14.314015Z digest=sha256:e9f141315158d2228a761c8de99fe11f68d60f859158afaa1c16a1a79b4bfcd0

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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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:14.415452Z digest=sha256:ea7fbd75508ac35dd1b5853fbf2f921a05827a6eea374ff3cf6f959ad1cd0dd7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:14.494622Z digest=sha256:119606f68ab9f2e1e632caab83c42e759e183eda4713e19e19252cdce9d6cdf6

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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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:14.624126Z digest=sha256:cd686c269b0b4cfaaaa1dbe811f7594ee7d92019a726dab674ccb8fcb125daa1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:59:14.729169Z digest=sha256:ab154dfc23f88cd05f7299ba92c0a9dad0d2d7aada24b6067e2a47fc19f0878c

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