Paper Citation Record · LEDGER

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups

As of 18 August 2026, this Paper Citation Record lists 86 of 86 outbound references and 4 inbound Pith citation observations for arXiv:2505.02323.

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

pith.paper-citation-record.v1
2505.02323 v1

Coverage vector

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One-hop event checks from named stored sources.

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measured 4 of 4 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.

Source: arxiv_reference, observed 2026-07-03T04:17:37.072277Z

Reference resolution

86 of 86 outbound references displayed

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External citation measurements

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Outbound references

Observation b0b1b010-8b7f-4a28-85fb-d1e91b2efe83 · outbound

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

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Direct trajectory optimization using nonlinear programming and collocation

Reference 1

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Observation 3852d34b-0a35-4122-9df1-86b357983ebf · outbound

This paper cites Survey of numerical methods for trajectory optimization.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Survey of numerical methods for trajectory optimization

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.070987Z

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Observation 24fc1840-4cfa-434e-b234-028ad8887085 · outbound

This paper cites A direct method for trajectory optimization of rigid bodies through contact.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups A direct method for trajectory optimization of rigid bodies through contact

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.075842Z

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Observation d5ccf788-cf93-4870-aeeb-12703c39cee9 · outbound

This paper cites FROST: Fast robot optimization and simulation toolkit.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups FROST: Fast robot optimization and simulation toolkit

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.081265Z

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Observation 8ac538e4-6cbf-4005-bc03-4d09a78f3802 · outbound

This paper cites Tracking for fully actu- ated mechanical systems: a geometric framework.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Tracking for fully actu- ated mechanical systems: a geometric framework

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.085861Z

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Observation 69e63b43-fd03-4994-bb0c-8b76a6fc34dc · outbound

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Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Unresolved cited work

Reference 6

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Unavailable: canonical work link unavailable.

Observation 1f8cffb6-efaf-4f97-80f6-def1e40677a4 · outbound

This paper cites Linear-time variational integrators in maximal coordinates.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Linear-time variational integrators in maximal coordinates

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.095501Z

Source-reported events for the cited work

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Observation f233e5cb-abc4-4234-a591-6ef5a8fbbd55 · outbound

This paper cites MPC on manifolds with an application to the control of spacecraft attitude on SO(3).

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups MPC on manifolds with an application to the control of spacecraft attitude on SO(3)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:03.253611Z

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Observation d516fb72-fff7-4c36-8f75-462c7136638b · outbound

This paper cites Introduction to mechanics and symmetry.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Introduction to mechanics and symmetry

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:03.233784Z

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Observation 2403aa56-c8e3-47da-bc71-89f0cb9ad372 · outbound

This paper cites Nonholonomic mechanics.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Nonholonomic mechanics

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:03.210808Z

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Observation 4ea225fe-6180-46ba-aec4-caaa48d05ac1 · outbound

This paper cites Input influence matrix design for mimo discrete-time ultra-local model.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Input influence matrix design for mimo discrete-time ultra-local model

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:03.179361Z

Source-reported events for the cited work

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Observation 382e627d-22ec-4e4a-aeb1-4dffb1c75bfd · outbound

This paper cites Convex geometric motion planning of multi-body systems on Lie groups via variational integrators and sparse moment relaxation.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Convex geometric motion planning of multi-body systems on Lie groups via variational integrators and sparse moment relaxation

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:03.152731Z

Source-reported events for the cited work

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Observation b31b4edb-3886-456d-9157-7eebf99c43ee · outbound

This paper cites Convex geomet- ric trajectory tracking using lie algebraic mpc for autonomous marine vehicles.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Convex geomet- ric trajectory tracking using lie algebraic mpc for autonomous marine vehicles

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.125487Z

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Observation 94677b16-9bae-4c6c-ab44-5e809a240c18 · outbound

This paper cites Toward Safety-Aware Informative Motion Planning for Legged Robots.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Toward Safety-Aware Informative Motion Planning for Legged Robots

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.130325Z

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Observation 81b58460-1ddc-42da-a74a-b42a0bbb9026 · outbound

This paper cites Discrete-Time Hybrid Automata Learning: Legged Locomotion Meets Skateboarding.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Discrete-Time Hybrid Automata Learning: Legged Locomotion Meets Skateboarding

Reference 15

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Observation 0153e0d9-1ae9-434a-ad51-2146a19682bc · outbound

This paper cites A Generalized Metriplectic System via Free Energy and System~Identification via Bilevel Convex Optimization.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups A Generalized Metriplectic System via Free Energy and System~Identification via Bilevel Convex Optimization

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.140142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29b279a0-6735-4211-9f94-bcf555e55c15 · outbound

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

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Convex Geometric Motion Planning on Lie Groups via Moment Relaxation

Reference 17

Resolution: verified exact; doi, observed 2026-08-16T01:03:01.557589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2d4c79f7-cc30-4ac4-9775-6bcaafe96572 · outbound

This paper cites Progress in symmetry preserving robot perception and control through geometry and learning.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Progress in symmetry preserving robot perception and control through geometry and learning

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:03.133962Z

Source-reported events for the cited work

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Observation ee09cf91-f59a-46b1-8eeb-a3b3558c8226 · outbound

This paper cites Lie algebraic cost function design for control on Lie groups.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Lie algebraic cost function design for control on Lie groups

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:03.114984Z

Source-reported events for the cited work

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Observation bb858a7c-2550-477e-8ddc-5e7dbfa7be00 · outbound

This paper cites An error-state model predictive control on connected matrix Lie groups for legged robot control.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups An error-state model predictive control on connected matrix Lie groups for legged robot control

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:03.088077Z

Source-reported events for the cited work

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Observation ecee80ac-735f-4863-a9a6-afa1579f3052 · outbound

This paper cites Legged robot state estimation in slippery environments using invariant extended kalman filter with velocity update.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Legged robot state estimation in slippery environments using invariant extended kalman filter with velocity update

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:03.063418Z

Source-reported events for the cited work

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Observation d3f38999-b0ea-4c28-9eb1-dc2e50c697d9 · outbound

This paper cites Fully proprioceptive slip- velocity-aware state estimation for mobile robots via invariant kalman filtering and disturbance observer.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Fully proprioceptive slip- velocity-aware state estimation for mobile robots via invariant kalman filtering and disturbance observer

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:03.041698Z

Source-reported events for the cited work

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Observation 7dfb8931-40e0-4f1f-98f2-92c7a163e252 · outbound

This paper cites Legged Robot State Estimation within Non-inertial Environments.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Legged Robot State Estimation within Non-inertial Environments

Reference 23

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Observation 271fbc8e-8f4c-4eda-bf8c-a60f43ca2bf5 · outbound

This paper cites GMKF: Generalized Moment Kalman Filter for Polynomial Systems with Arbitrary Noise.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups GMKF: Generalized Moment Kalman Filter for Polynomial Systems with Arbitrary Noise

Reference 24

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Source-reported events for the cited work

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Observation f7dd6d4e-f79b-40b3-b6c4-67c5ea2c440e · outbound

This paper cites An introduction to optimization on smooth manifolds.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups An introduction to optimization on smooth manifolds

Reference 25

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Observation a6fa1ae6-07a8-4a1c-8d77-7adc0d0c831c · outbound

This paper cites On-manifold preintegration for real-time visual– inertial odometry.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups On-manifold preintegration for real-time visual– inertial odometry

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.994703Z

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Observation 5f32ada0-1b1f-444e-b9a1-e3550b89f8dc · outbound

This paper cites Non- parametric continuous sensor registration.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Non- parametric continuous sensor registration

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.963114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation da290e7a-3bfa-4ebe-95a4-a983af932435 · outbound

This paper cites SE-Sync: A certifiably correct algorithm for synchro- nization over the special euclidean group.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups SE-Sync: A certifiably correct algorithm for synchro- nization over the special euclidean group

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.936970Z

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Observation 0b81c95e-eecb-4a10-a489-0fcecc9cbd35 · outbound

This paper cites Building Rome with Convex Optimization.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Building Rome with Convex Optimization

Reference 29

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Observation 3ef50d2c-fd0e-435a-9193-4f0f337748f6 · outbound

This paper cites Geometric control of mechanical systems: modeling, analysis, and design for simple mechanical control systems , volume 49.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Geometric control of mechanical systems: modeling, analysis, and design for simple mechanical control systems , volume 49

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.910795Z

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Observation 4420d172-6671-499a-a84e-c58232d87fd1 · outbound

This paper cites Riemannian Motion Policies.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Riemannian Motion Policies

Reference 31

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Observation dddfe7d2-bbe4-4da8-9cd9-0fece56c08d9 · outbound

This paper cites Synthesis of whole-body behaviors through hierarchical control of behavioral primitives.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Synthesis of whole-body behaviors through hierarchical control of behavioral primitives

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.891209Z

Source-reported events for the cited work

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Observation 3b2e56df-91e8-474d-8815-44dbc15814eb · outbound

This paper cites A unified approach for motion and force con- trol of robot manipulators: The operational space formulation.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups A unified approach for motion and force con- trol of robot manipulators: The operational space formulation

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.872045Z

Source-reported events for the cited work

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Observation a7ce5cb3-a0bd-4e93-bff9-789a0d04b204 · outbound

This paper cites Russell, and Patrick M.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Russell, and Patrick M

Reference 34

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Observation 89822a1d-bdec-4c41-8a1d-73424a2ee55b · outbound

This paper cites Rigid body dynamics algorithms.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Rigid body dynamics algorithms

Reference 35

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Observation 79c0edba-6281-4afe-a59d-871049592ca9 · outbound

This paper cites The calculation of robot dynamics using articulated-body inertias.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups The calculation of robot dynamics using articulated-body inertias

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.828810Z

Source-reported events for the cited work

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Observation c09944af-3066-4c6c-9910-a9a34c6dbc96 · outbound

This paper cites A Lie group formulation of robot dynamics.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups A Lie group formulation of robot dynamics

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.806491Z

Source-reported events for the cited work

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Observation c76f2497-df18-4691-a123-f890eaafb6b7 · outbound

This paper cites Variational integrators for constrained dynamical sys- tems.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Variational integrators for constrained dynamical sys- tems

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.785666Z

Source-reported events for the cited work

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Observation 959ce29a-558e-4d16-a7e0-a20add68477d · outbound

This paper cites Dojo: A Differentiable Physics Engine for Robotics.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Dojo: A Differentiable Physics Engine for Robotics

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.260040Z

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Observation ad559da4-d6c9-4e82-a18b-8283ea064de7 · outbound

This paper cites Discrete mechanics and variational integrators.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Discrete mechanics and variational integrators

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.761872Z

Source-reported events for the cited work

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Observation a3285535-57e0-4f02-8225-0a64a5e977b1 · outbound

This paper cites A Lie group variational integrator for the attitude dynamics of a rigid body with applications to the 3D pendulum.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups A Lie group variational integrator for the attitude dynamics of a rigid body with applications to the 3D pendulum

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.741385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2fa3fa23-48b7-4928-8402-597ab87e019f · outbound

This paper cites Chomp: Covariant Hamilto- nian optimization for motion planning.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Chomp: Covariant Hamilto- nian optimization for motion planning

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.719248Z

Source-reported events for the cited work

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Observation 71ac56d3-effa-4cb6-9f5c-d9d5f7bbf611 · outbound

This paper cites Motion planning with sequential convex optimization and convex collision checking.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Motion planning with sequential convex optimization and convex collision checking

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.700593Z

Source-reported events for the cited work

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Observation 7fa15d9e-6a5d-4e4c-ae39-cd3ea6a299fe · outbound

This paper cites Contact-implicit trajectory optimization using variational integrators.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Contact-implicit trajectory optimization using variational integrators

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.679029Z

Source-reported events for the cited work

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Observation 27edddcf-6b7c-4b23-ba62-df488bbe44c6 · outbound

This paper cites Time Optimal Ergodic Search.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Time Optimal Ergodic Search

Reference 45

Resolution: verified exact; doi, observed 2026-08-16T01:03:01.539105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4fed4d86-05c0-4ce3-b300-27faf3005e31 · outbound

This paper cites Autonomous navigation of underactuated bipedal robots in height-constrained environments.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Autonomous navigation of underactuated bipedal robots in height-constrained environments

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.652121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1184dbaf-bef3-4722-89e1-833afa1b5556 · outbound

This paper cites On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.634738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1f027511-2b0c-46e3-8507-ddb7fba179f9 · outbound

This paper cites SNOPT: An SQP algorithm for large-scale constrained optimization.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups SNOPT: An SQP algorithm for large-scale constrained optimization

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.306282Z

Source-reported events for the cited work

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Observation 8cddd3f3-b0e9-4441-9e89-18638ae918cc · outbound

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

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Highly Dynamic Quadruped Locomotion via Whole-Body Impulse Control and Model Predictive Control

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.311440Z

Source-reported events for the cited work

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Observation 4cc1f406-cd72-48bf-be77-a5c0a5a055d8 · outbound

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

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Representation-free model predictive control for dynamic motions in quadrupeds

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.601244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6a8d32a3-f626-4fbb-875a-a09669963bdb · outbound

This paper cites Vision-aided dynamic quadrupedal locomotion on discrete terrain using motion libraries.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Vision-aided dynamic quadrupedal locomotion on discrete terrain using motion libraries

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.578008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c7999c75-4f37-45f9-a99c-7d30172d47df · outbound

This paper cites Perceptive locomotion through nonlinear model-predictive control.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Perceptive locomotion through nonlinear model-predictive control

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.558926Z

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Observation 2b5a5597-5254-4248-8751-57dfbed69eb5 · outbound

This paper cites A computationally efficient algorithm for state-to-state quadro- copter trajectory generation and feasibility verification.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups A computationally efficient algorithm for state-to-state quadro- copter trajectory generation and feasibility verification

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.541760Z

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Observation b7746acf-8ee4-4750-811a-0bbb020a4419 · outbound

This paper cites Discrete-time differential dynamic programming on Lie groups: Derivation, convergence analysis, and numerical results.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Discrete-time differential dynamic programming on Lie groups: Derivation, convergence analysis, and numerical results

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.521530Z

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Observation f77bea31-3123-49be-9823-9be2f7ac4ebb · outbound

This paper cites Discrete mechanics and optimal control.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Discrete mechanics and optimal control

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.499840Z

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Observation 776f3f0b-12d7-4993-94d9-d7fea6779c9a · outbound

This paper cites Discrete geometric optimal control on Lie groups.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Discrete geometric optimal control on Lie groups

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.476611Z

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Observation cc18377e-7033-4d24-8328-38b5fb767c72 · outbound

This paper cites Unlocking aerobatic potential of quadcopters: Autonomous freestyle flight generation and execution.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Unlocking aerobatic potential of quadcopters: Autonomous freestyle flight generation and execution

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.456521Z

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Observation b191f7ec-ada1-4e17-af99-dda37d699f2e · outbound

This paper cites Low-rank matrix completion by Rieman- nian optimization.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Low-rank matrix completion by Rieman- nian optimization

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.437435Z

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Observation d4dbaf99-e24d-4c16-8842-b25263e61dcf · outbound

This paper cites Solving Low-Rank Semidefinite Programs via Manifold Optimization.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Solving Low-Rank Semidefinite Programs via Manifold Optimization

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.362852Z

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Observation 02856f2f-1d6c-4193-a168-e859a47ee4f4 · outbound

This paper cites A nonlinear pro- gramming algorithm for solving semidefinite programs via low- rank factorization.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups A nonlinear pro- gramming algorithm for solving semidefinite programs via low- rank factorization

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.417989Z

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Observation b9a40caf-3825-47ce-a45d-999071312712 · outbound

This paper cites An SQP method for equality constrained optimization on manifolds.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups An SQP method for equality constrained optimization on manifolds

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-16T01:03:01.610058Z

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Observation 7fe24db8-9018-4bbc-ada1-e966aa74eda5 · outbound

This paper cites Sequen- tial quadratic optimization for nonlinear optimization problems on Riemannian manifolds.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Sequen- tial quadratic optimization for nonlinear optimization problems on Riemannian manifolds

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.396820Z

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Observation cdc461ff-35aa-4d92-bb9e-ec7f012b280f · outbound

This paper cites Sequential optimality conditions for nonlinear optimization on Riemannian manifolds and a globally convergent augmented Lagrangian method.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Sequential optimality conditions for nonlinear optimization on Riemannian manifolds and a globally convergent augmented Lagrangian method

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.381728Z

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Observation 6ae7bc74-2e83-461d-a781-780fc7f1a0a4 · outbound

This paper cites Simple algorithms for op- timization on Riemannian manifolds with constraints.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Simple algorithms for op- timization on Riemannian manifolds with constraints

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.366789Z

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Observation e1294b6c-26b6-48d7-9d43-335088873233 · outbound

This paper cites Riemannian interior point methods for constrained optimization on manifolds.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Riemannian interior point methods for constrained optimization on manifolds

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.347458Z

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Observation 9a444a43-9cc9-43a9-9985-905c8b1db20e · outbound

This paper cites Differential Geometry.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Differential Geometry

Reference 66

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.326118Z

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Observation b0392224-5195-4288-8f01-508156db6e19 · outbound

This paper cites Curvatures of left invariant metrics on Lie groups.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Curvatures of left invariant metrics on Lie groups

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.302030Z

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Observation f5911a3a-0725-41a9-b5d8-b1a392865d7b · outbound

This paper cites Dis- crete Euler-Poincaré and Lie-Poisson equations.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Dis- crete Euler-Poincaré and Lie-Poisson equations

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.283016Z

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Observation 6857d4cb-f25a-45cb-9d96-8b1c0fa9e668 · outbound

This paper cites Manopt, a Matlab toolbox for optimization on manifolds.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Manopt, a Matlab toolbox for optimization on manifolds

Reference 69

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.266394Z

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Observation 4e2957ea-9380-4db6-9292-b7faba1b5b9a · outbound

This paper cites Optimality conditions for the nonlinear programming problems on Rieman- nian manifolds.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Optimality conditions for the nonlinear programming problems on Rieman- nian manifolds

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.247857Z

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Observation 808f1351-cc7a-47b2-ab5b-72e4ccd37f63 · outbound

This paper cites Numerical optimization, 2006.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Numerical optimization, 2006

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.427695Z

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Observation 56aa7cf9-82cb-4464-aec6-249c38d7fcc1 · outbound

This paper cites Ge- ometric tracking control of a quadrotor uav on SE(3).

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Ge- ometric tracking control of a quadrotor uav on SE(3)

Reference 72

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.219059Z

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Observation 88ca2115-8227-411e-a379-760267246648 · outbound

This paper cites CasADi: a software framework for nonlinear optimization and optimal control.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups CasADi: a software framework for nonlinear optimization and optimal control

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.199470Z

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Observation aa350f02-083b-41a8-9b8f-8928d330af2b · outbound

This paper cites an unresolved cited work.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Unresolved cited work

Reference 74

Resolution: unresolved; raw_fallback, observed 2026-08-16T01:03:02.183541Z

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Observation f997570b-0853-499d-9002-16be17311ce9 · outbound

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

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Global optimization with polynomials and the problem of moments

Reference 75

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.166921Z

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Observation ea574316-7f78-4053-83f2-edc58590a264 · outbound

This paper cites An introduction to polynomial and semi- algebraic optimization, volume 52.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups An introduction to polynomial and semi- algebraic optimization, volume 52

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.148408Z

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Observation d3b2ffaa-14a4-47c5-9386-04094cd8673b · outbound

This paper cites Finding and optimizing certified, collision- free regions in configuration space for robot manipulators.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Finding and optimizing certified, collision- free regions in configuration space for robot manipulators

Reference 77

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.127843Z

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Observation 1f0b9ad8-3957-4cc0-9642-421f64400a62 · outbound

This paper cites Towards optimizing a convex cover of collision-free space for 14 trajectory generation.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Towards optimizing a convex cover of collision-free space for 14 trajectory generation

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.110370Z

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Observation 771f8911-f40b-4ce7-8df7-55891198c676 · outbound

This paper cites The discrete null space method for the energy consistent integration of constrained mechanical systems: Part i: Holonomic constraints.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups The discrete null space method for the energy consistent integration of constrained mechanical systems: Part i: Holonomic constraints

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.092160Z

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Observation 6a91f5ee-d78c-413e-9b21-29e0c7499406 · outbound

This paper cites The discrete null space method for the energy consistent integration of constrained mechanical systems.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups The discrete null space method for the energy consistent integration of constrained mechanical systems

Reference 80

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.072648Z

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Observation b4c97d78-f318-4842-8f19-c36f6e3fff3d · outbound

This paper cites Discrete mechanics and optimal control for constrained systems.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Discrete mechanics and optimal control for constrained systems

Reference 81

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.051633Z

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Observation 1f57f226-8235-4dd0-aa3f-ee0b0937cc99 · outbound

This paper cites Fast and Certifiable Trajectory Optimization.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Fast and Certifiable Trajectory Optimization

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-16T01:03:01.474681Z

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Observation 547b907d-44f9-47b3-8119-05027b0dc3b4 · outbound

This paper cites An inexact projected gradient method with rounding and lifting by nonlinear programming for solving rank-one semidefinite relax- ation of polynomial optimization.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups An inexact projected gradient method with rounding and lifting by nonlinear programming for solving rank-one semidefinite relax- ation of polynomial optimization

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.032185Z

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Observation 0d8d72c4-3f70-4623-8502-cd137358eab5 · outbound

This paper cites Hybrid zero dynamics of planar biped walkers.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Hybrid zero dynamics of planar biped walkers

Reference 84

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:02.008867Z

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Observation a6a72bc3-8931-4edd-b14f-34253abfc024 · outbound

This paper cites Geometric discretization of nonholonomic systems with sym- metries.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups Geometric discretization of nonholonomic systems with sym- metries

Reference 85

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:01.989990Z

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Observation f9accb2a-16bd-4805-a31a-69ef7ffc7719 · outbound

This paper cites CALIPSO: A differentiable solver for trajectory optimization with conic and complementarity constraints.

Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups CALIPSO: A differentiable solver for trajectory optimization with conic and complementarity constraints

Reference 86

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T01:03:01.971600Z

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Pith citing papers

Observation 7a99c2e0-0a64-4651-8418-10ce76776788 · inbound

Max Entropy Moment Kalman Filter for Polynomial Systems with Arbitrary Noise cites this paper.

Max Entropy Moment Kalman Filter for Polynomial Systems with Arbitrary Noise Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:03.237064Z

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Observation b1f445d3-f4a3-43ee-a1dd-aaa41ecf7182 · inbound

Embedding Hybrid Systems into Continuous Latent Vector Fields cites this paper.

Embedding Hybrid Systems into Continuous Latent Vector Fields Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups

Reference 97

Resolution: verified exact; arxiv_id, observed 2026-07-03T04:17:37.073954Z

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Observation 675929ff-0ea6-4bea-a9f2-73e4dac916e9 · inbound

Learning Smooth SE(3) Trajectories under Left-Invariant Riemannian Metrics cites this paper.

Learning Smooth SE(3) Trajectories under Left-Invariant Riemannian Metrics Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T00:17:08.814746Z

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Observation 4cb9ee5a-0c04-41ac-8e4d-04bd5a58dbd2 · inbound

A globally and superlinearly convergent QO-free method for nonlinear optimization on Riemannian manifolds cites this paper.

A globally and superlinearly convergent QO-free method for nonlinear optimization on Riemannian manifolds Riemannian Direct Trajectory Optimization of Rigid Bodies on Matrix Lie Groups

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T11:29:17.506433Z

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