Paper Citation Record · LEDGER

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling

As of 17 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 1 inbound Pith citation observation for arXiv:2504.13170.

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

pith.paper-citation-record.v1
2504.13170 v1

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

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measured 50 of 50 standing notices

One-hop event checks from named stored sources.

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:13:23.467267Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T10:13:23.503995Z

Reference resolution

49 of 49 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ebb94588-1acb-4d94-8892-bc12c2b3939e · outbound

This paper cites Survey of numerical methods for trajectory optimization,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Survey of numerical methods for trajectory optimization,

Reference 1

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Observation 6f39418a-d8bc-4caa-a041-d9af61227e14 · outbound

This paper cites An introduction to trajectory optimization: How to do your own direct collocation,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling An introduction to trajectory optimization: How to do your own direct collocation,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:30.784639Z

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Observation f8034a8c-2e0e-4845-aa43-b62923c222bb · outbound

This paper cites Model predictive control: Theory and practice—a survey,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Model predictive control: Theory and practice—a survey,

Reference 3

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Observation 710f2f3f-c97a-42d8-bd86-268a8ed81a62 · outbound

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A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Unresolved cited work

Reference 4

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Observation 9e549a1b-9835-4db3-aa2d-cd044bde30c1 · outbound

This paper cites Time-optimal planning for quadrotor waypoint flight,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Time-optimal planning for quadrotor waypoint flight,

Reference 5

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Observation af70a9a6-abdf-4967-83ee-c9d7a965450b · outbound

This paper cites Time Optimal Ergodic Search.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Time Optimal Ergodic Search

Reference 6

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Observation 80724f05-a9eb-4f1e-b8a6-f363d6965342 · outbound

This paper cites Time-optimal trajectory generation for dynamic vehicles: A bilevel optimization approach,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Time-optimal trajectory generation for dynamic vehicles: A bilevel optimization approach,

Reference 7

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Observation c03e9aa8-4e1a-4d45-9f3b-4b64d9be616d · outbound

This paper cites Fast path plan- ning through large collections of safe boxes,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Fast path plan- ning through large collections of safe boxes,

Reference 8

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Source-reported events for the cited work

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Observation c95843a8-ed28-4e59-ad59-95f0a3f4efc8 · outbound

This paper cites A sequential two-step algorithm for fast generation of vehicle racing trajectories,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling A sequential two-step algorithm for fast generation of vehicle racing trajectories,

Reference 9

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Observation 19a515f6-b720-419f-ba3b-2ae241ee21fc · outbound

This paper cites Polynomial trajectory planning for aggressive quadrotor flight in dense indoor environments,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Polynomial trajectory planning for aggressive quadrotor flight in dense indoor environments,

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T12:18:27.537088Z

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Observation 35b4ea13-e3fe-4d97-afa2-21f9c3f5b434 · outbound

This paper cites Direct trajectory optimization using nonlinear programming and collocation,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Direct trajectory optimization using nonlinear programming and collocation,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:30.459785Z

Source-reported events for the cited work

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Observation b1c2222e-9a14-4643-baae-5b0b67b850dd · outbound

This paper cites Robust variable horizon model predictive control for vehicle maneuvering,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Robust variable horizon model predictive control for vehicle maneuvering,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:30.394699Z

Source-reported events for the cited work

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Observation 5be9e2f1-c158-4664-beec-ef2a22e3807a · outbound

This paper cites Milp formulation for solving minimum time optimal control problems,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Milp formulation for solving minimum time optimal control problems,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:30.380177Z

Source-reported events for the cited work

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Observation a59c42b0-b0f7-4e27-9b8f-585c55d63610 · outbound

This paper cites Numerical synthesis of the time optimal nonlinear state controller via mixed integer programming,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Numerical synthesis of the time optimal nonlinear state controller via mixed integer programming,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:30.310562Z

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Observation fb551b3f-6ab1-4498-be4e-0e4bbefd7855 · outbound

This paper cites Aircraft trajectory planning with collision avoidance using mixed integer linear programming,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Aircraft trajectory planning with collision avoidance using mixed integer linear programming,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:30.253854Z

Source-reported events for the cited work

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Observation 432418f0-4cda-4616-952d-7087fc6b4368 · outbound

This paper cites Mixed integer programming for multi-vehicle path planning,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Mixed integer programming for multi-vehicle path planning,

Reference 16

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Source-reported events for the cited work

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Observation bc96f274-4f30-4865-a08f-b62b93489b37 · outbound

This paper cites Efficient mixed-integer planning for uavs in cluttered environments,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Efficient mixed-integer planning for uavs in cluttered environments,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:30.157088Z

Source-reported events for the cited work

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Observation 7d702df2-09ce-4c49-9e10-32de11502f44 · outbound

This paper cites Aggressive quadrotor flight through cluttered environments using mixed integer programming,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Aggressive quadrotor flight through cluttered environments using mixed integer programming,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:30.142721Z

Source-reported events for the cited work

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Observation 6d7616d2-45a0-41b3-a23e-3029dcf9a5c0 · outbound

This paper cites Footstep planning on uneven terrain with mixed-integer convex optimization,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Footstep planning on uneven terrain with mixed-integer convex optimization,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.971103Z

Source-reported events for the cited work

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Observation a1a8bde8-363c-492a-b329-669c198bfb8f · outbound

This paper cites Optimization-based locomotion planning, estimation, and control design for the atlas humanoid robot,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Optimization-based locomotion planning, estimation, and control design for the atlas humanoid robot,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.957183Z

Source-reported events for the cited work

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Observation 30071ec9-54e2-48ec-b225-eb04ad3c7280 · outbound

This paper cites Simultaneous contact, gait, and motion planning for robust multilegged locomotion via mixed-integer convex optimization,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Simultaneous contact, gait, and motion planning for robust multilegged locomotion via mixed-integer convex optimization,

Reference 21

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Source-reported events for the cited work

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Observation d4b76434-fb64-414f-b026-02ffa7af7dee · outbound

This paper cites Optimal manipulator path planning with obstacles using disjunctive programming,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Optimal manipulator path planning with obstacles using disjunctive programming,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.902629Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2597ee66-440a-4a20-aa05-ebcc99fe3214 · outbound

This paper cites Mixed-integer programming for optimal path planning of robotic manipulators,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Mixed-integer programming for optimal path planning of robotic manipulators,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.808422Z

Source-reported events for the cited work

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Observation aaacd742-0d6b-4bc4-9b07-224f8985501c · outbound

This paper cites Approximate hybrid model predictive control for multi-contact push recovery in complex environments,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Approximate hybrid model predictive control for multi-contact push recovery in complex environments,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.793541Z

Source-reported events for the cited work

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Observation 6ec379a6-0fb6-454d-8bf8-e5833c0f41b1 · outbound

This paper cites Feedback Control of the Pusher-Slider System: A Story of Hybrid and Underactuated Contact Dynamics.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Feedback Control of the Pusher-Slider System: A Story of Hybrid and Underactuated Contact Dynamics

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-16T12:18:28.785669Z

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Observation bafc8ab8-f8ac-4f26-afb8-9439f8a8b8d4 · outbound

This paper cites Mixed-integer formulations for optimal control of piecewise-affine systems,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Mixed-integer formulations for optimal control of piecewise-affine systems,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.778164Z

Source-reported events for the cited work

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Observation 2195f9a5-5897-4093-be04-30ecac7a12dc · outbound

This paper cites Shortest paths in graphs of convex sets,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Shortest paths in graphs of convex sets,

Reference 27

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Source-reported events for the cited work

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Observation a654bb67-d2d6-42fd-a2f6-349046f25876 · outbound

This paper cites Graphs of convex sets with applications to optimal con- trol and motion planning,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Graphs of convex sets with applications to optimal con- trol and motion planning,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.681375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a0ad2e39-09e3-412f-9bd3-db692e80bb4b · outbound

This paper cites Mo- tion planning around obstacles with convex optimization,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Mo- tion planning around obstacles with convex optimization,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.640153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8cddee10-d802-4a64-b69b-196b7d068806 · outbound

This paper cites Non-euclidean motion planning with graphs of geodesically-convex sets,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Non-euclidean motion planning with graphs of geodesically-convex sets,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.625568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 43e67789-8c2c-4718-bd87-007764f680b2 · outbound

This paper cites Towards tight convex relaxations for contact- rich manipulation,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Towards tight convex relaxations for contact- rich manipulation,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.559386Z

Source-reported events for the cited work

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Observation 05f61d21-91a0-433d-a425-d1029da00911 · outbound

This paper cites an unresolved cited work.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Unresolved cited work

Reference 32

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Observation 0e86d069-a9b4-45d3-a055-803466b6580b · outbound

This paper cites Semidefinite programming relaxations for semialgebraic prob- lems,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Semidefinite programming relaxations for semialgebraic prob- lems,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.393106Z

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Observation 385af2e7-7f36-41ee-843e-c3212bd19c42 · outbound

This paper cites Global optimization with polynomials and the problem of moments,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Global optimization with polynomials and the problem of moments,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.307358Z

Source-reported events for the cited work

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Observation 3b7cd1f7-866e-49a9-8da3-40ca4f6167e6 · outbound

This paper cites Semidefinite relaxation of quadratic optimization problems,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Semidefinite relaxation of quadratic optimization problems,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.253029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6def59af-395a-4249-b61a-6af050f44e09 · outbound

This paper cites Piecewise-linear motion planning amidst static, moving, or morphing obstacles,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Piecewise-linear motion planning amidst static, moving, or morphing obstacles,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.237771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1f9cddbb-1a28-45e3-b127-57b770e9e42d · outbound

This paper cites Convex Geometric Motion Planning on Lie Groups via Moment Relaxation.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Convex Geometric Motion Planning on Lie Groups via Moment Relaxation

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T12:18:28.284091Z

Source-reported events for the cited work

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Observation a9f2effb-25f7-4f08-b3b2-17850f48490d · outbound

This paper cites Semi-definite relaxation-based admm for cooperative planning and control of connected autonomous vehicles,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Semi-definite relaxation-based admm for cooperative planning and control of connected autonomous vehicles,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.223671Z

Source-reported events for the cited work

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Observation a8b5ff6c-d47c-4cf0-9661-559a30207f71 · outbound

This paper cites Nonlinear optimal control via occupation measures and lmi-relaxations,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Nonlinear optimal control via occupation measures and lmi-relaxations,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.209266Z

Source-reported events for the cited work

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Observation 93dc7abc-8ff4-4f78-afd8-7d9b3702ecb5 · outbound

This paper cites Global adaptive dynamic programming for continuous-time nonlinear systems,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Global adaptive dynamic programming for continuous-time nonlinear systems,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.192351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5c70ce07-2352-4a65-8660-0cdf3c2fea2a · outbound

This paper cites Approximate optimal controller synthesis for cart-poles and quadrotors via sums-of-squares,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Approximate optimal controller synthesis for cart-poles and quadrotors via sums-of-squares,

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-16T12:18:28.418173Z

Source-reported events for the cited work

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Observation 0154703b-c2f1-4e21-9d51-0e6a73898eb5 · outbound

This paper cites Fast and Certifiable Trajectory Optimization.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Fast and Certifiable Trajectory Optimization

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-16T12:18:28.422434Z

Source-reported events for the cited work

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Observation ce83bb5e-90f7-4484-a51a-34f93b5a4f39 · outbound

This paper cites Globally optimal solution to inverse kinematics of 7dof serial manipulator,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Globally optimal solution to inverse kinematics of 7dof serial manipulator,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.168584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2e240069-9bcd-4ed5-9021-5bb2b0cf6ba7 · outbound

This paper cites Inverse kinematics for serial kinematic chains via sum of squares optimization,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Inverse kinematics for serial kinematic chains via sum of squares optimization,

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.111949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ed808d37-29de-44e8-acae-1a1570e49279 · outbound

This paper cites Globally optimal estimates for geometric reconstruction problems,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Globally optimal estimates for geometric reconstruction problems,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.019836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4715b312-1dce-4162-9dfd-246e93cab6c8 · outbound

This paper cites Certifiably optimal outlier-robust geometric perception: Semidefinite relaxations and scalable global optimization,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Certifiably optimal outlier-robust geometric perception: Semidefinite relaxations and scalable global optimization,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:29.003185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 93c288b6-f37d-41c9-b620-03bcf96dc08e · outbound

This paper cites Blekherman, P.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Blekherman, P

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:28.987495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation aba806e6-16cd-42fa-b7f3-a9f71e63442f · outbound

This paper cites A perspective-based convex relaxation for switched-affine optimal control,.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling A perspective-based convex relaxation for switched-affine optimal control,

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T12:18:28.878996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 08913d9b-354d-4e30-a4c4-cdea67665e79 · outbound

This paper cites Growing Convex Collision-Free Regions in Configuration Space using Nonlinear Programming.

A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling Growing Convex Collision-Free Regions in Configuration Space using Nonlinear Programming

Reference 49

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Pith citing papers

Observation 98b5ab9b-3d20-40f4-b02c-af5e4827168f · inbound

A biconvex method for minimum-time motion planning through sequences of convex sets cites this paper.

A biconvex method for minimum-time motion planning through sequences of convex sets A New Semidefinite Relaxation for Linear and Piecewise-Affine Optimal Control with Time Scaling

Reference 48

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