Paper Citation Record · LEDGER

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control

As of 10 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2511.10852.

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

pith.paper-citation-record.v1
2511.10852 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T22:23:32.468615Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T15:53:53.365643Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

41 of 41 outbound references displayed

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Outbound references

Observation 32c69584-9113-421b-96e3-2127291070c5 · outbound

This paper cites An optimization-centric review on integrating artificial intelligence and digital twin technologies in manufacturing.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control An optimization-centric review on integrating artificial intelligence and digital twin technologies in manufacturing

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:27.574541Z

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Observation 5fd3f6ac-26a3-4a00-8b1b-99005a70baaa · outbound

This paper cites A probabilistic graphical model foundation for enabling predictive digital twins at scale.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control A probabilistic graphical model foundation for enabling predictive digital twins at scale

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:27.616664Z

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Observation 0094bdd0-6b2d-4941-a062-bf84531e52fa · outbound

This paper cites Energy digital twin technology for industrial energy management: Classification, challenges and future.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Energy digital twin technology for industrial energy management: Classification, challenges and future

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:27.753677Z

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Observation f809e564-caa8-4626-971c-425d7831d03c · outbound

This paper cites Leveragingaiforenergy-efficientmanufacturing systems: Review and future prospectives.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Leveragingaiforenergy-efficientmanufacturing systems: Review and future prospectives

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:27.844393Z

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Observation e9a6b5fe-d11f-4956-ac88-f4951d15690a · outbound

This paper cites Towards a digital twin framework in additive manufacturing: Machine learning and bayesian optimization for time series process optimization.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Towards a digital twin framework in additive manufacturing: Machine learning and bayesian optimization for time series process optimization

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:27.944968Z

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Observation 9e21fa75-7924-42b1-bdf8-8cf367b83f36 · outbound

This paper cites Real-time decision-making for digital twin in additive manufacturing with model predictive control using time-series deep neural networks.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Real-time decision-making for digital twin in additive manufacturing with model predictive control using time-series deep neural networks

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:28.097247Z

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Observation a09d8916-75d2-4f96-9d1c-3e8e79441342 · outbound

This paper cites Uncertainty-awaredigitaltwins: Robustmodelpredictive control using time-series deep quantile learning.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Uncertainty-awaredigitaltwins: Robustmodelpredictive control using time-series deep quantile learning

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:28.309396Z

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Observation 8180d413-d4c9-4867-8f79-183356bb6a86 · outbound

This paper cites Digitaltwin-enabledmulti-generationcontrolco-design with deep reinforcement learning.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Digitaltwin-enabledmulti-generationcontrolco-design with deep reinforcement learning

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:28.432289Z

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Observation ed032333-ced7-49f4-aabf-d22aa5348633 · outbound

This paper cites Machine learning-assistedin-situadaptivestrategiesforthecontrolofdefectsandanomaliesinmetaladditivemanufacturing.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Machine learning-assistedin-situadaptivestrategiesforthecontrolofdefectsandanomaliesinmetaladditivemanufacturing

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:28.527888Z

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Observation d1c44c52-5cc6-4e92-9f41-30b648786de5 · outbound

This paper cites An attention-based spatio-temporal neural operator for evolving physics.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control An attention-based spatio-temporal neural operator for evolving physics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:28.635631Z

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Observation 5fd1b873-86ac-42d3-a281-81cdd6e5cc57 · outbound

This paper cites Sheet metal market size, share & growth report, 2035.https://www.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Sheet metal market size, share & growth report, 2035.https://www

Reference 11

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Observation 6bcdefd8-3e54-43f9-9f18-bf55c09591d4 · outbound

This paper cites From art to part: Learning from the traditional smith in developing flexible sheet metal forming processes.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control From art to part: Learning from the traditional smith in developing flexible sheet metal forming processes

Reference 12

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Observation 8bf957c3-f893-4f16-8ae6-5ad680bb7d7e · outbound

This paper cites Flexibility in metal forming.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Flexibility in metal forming

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:28.973888Z

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Observation 87a895c7-55ab-4711-80d7-73ab4bb14da6 · outbound

This paper cites A forging technology first: Integrating industry 4.0 into an autonomous cnc forging machine.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control A forging technology first: Integrating industry 4.0 into an autonomous cnc forging machine

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:29.100551Z

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Observation eda13e60-450e-46fa-b90c-c2ddb9958a0c · outbound

This paper cites On the feasability of an integrated english wheel system.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control On the feasability of an integrated english wheel system

Reference 15

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Observation b1fcaada-4737-4a5e-af9a-94d091d3b769 · outbound

This paper cites In-process part tracking and shape measurement using vision-based motion capture for automated english wheeling.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control In-process part tracking and shape measurement using vision-based motion capture for automated english wheeling

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:29.370248Z

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Observation 75a42b21-eed2-46a5-bf1a-b8304bef79b2 · outbound

This paper cites Closed-loop control of product properties in metal forming.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Closed-loop control of product properties in metal forming

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:29.479390Z

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Observation dadc6aa0-908a-42fc-9df1-18c6d5359574 · outbound

This paper cites Reinforcement learning in free-form stamping of sheet-metals.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Reinforcement learning in free-form stamping of sheet-metals

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:29.668255Z

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Observation 747eed02-4dda-4b98-a3f2-4a6c24428e13 · outbound

This paper cites Areviewofcharacterization and modelling approaches for sheet metal forming of lightweight metallic materials.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Areviewofcharacterization and modelling approaches for sheet metal forming of lightweight metallic materials

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:29.749593Z

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Observation 8a8c3034-1fda-4e6e-9a3c-13abe556f5a8 · outbound

This paper cites Model predictive control of incre- mental sheet forming for geometric accuracy improvement.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Model predictive control of incre- mental sheet forming for geometric accuracy improvement

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:29.855021Z

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Observation d74373a2-2551-44f3-8e56-37e85939362a · outbound

This paper cites Learning-based model predictive control for two-point incremental sheet forming.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Learning-based model predictive control for two-point incremental sheet forming

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:29.951387Z

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Observation ea95b23f-ac23-46e2-8195-2ec1ca4985ca · outbound

This paper cites Switched model predictive path control of incremental sheet forming for parts with varying wall angles.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Switched model predictive path control of incremental sheet forming for parts with varying wall angles

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:30.099536Z

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Observation cb0a67de-ce9c-4a87-9d8f-70c52b70c7ee · outbound

This paper cites Koopmaninvariantsubspacesandfinitelinear representations of nonlinear dynamical systems for control.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Koopmaninvariantsubspacesandfinitelinear representations of nonlinear dynamical systems for control

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:30.172593Z

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Observation bd802bd4-70c7-4361-8be3-acf30fd1781e · outbound

This paper cites Notesonkoopmanoperatortheory.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Notesonkoopmanoperatortheory

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:30.282629Z

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Observation cd7d42fa-a620-46a8-91ac-f5ffddea55a7 · outbound

This paper cites Active learning of dynamics for data-driven control using koopman operators.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Active learning of dynamics for data-driven control using koopman operators

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:30.417472Z

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Observation ed24bf71-8df2-4468-af38-cba9ae99de68 · outbound

This paper cites Data-drivencontrolofsoftrobotsusing koopman operator theory.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Data-drivencontrolofsoftrobotsusing koopman operator theory

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:30.592334Z

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Observation e08969f3-19ef-4cbf-bc55-7c46b9dde06b · outbound

This paper cites Retrofit: Real-time control of time-dependent 3d point cloud profiles.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Retrofit: Real-time control of time-dependent 3d point cloud profiles

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:30.701845Z

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Observation 21babf10-5f96-4e28-8421-8b42b2734b08 · outbound

This paper cites Efficient approximation of the koopman operator for large-scale nonlinear systems.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Efficient approximation of the koopman operator for large-scale nonlinear systems

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:30.834950Z

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Observation f7be239c-1ebe-407f-8e67-05e754be9a49 · outbound

This paper cites Analysisoftime-resolvedpivmeasurementsofaconfinedturbulent jet using pod and koopman modes.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Analysisoftime-resolvedpivmeasurementsofaconfinedturbulent jet using pod and koopman modes

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:30.982475Z

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Observation 3a248f95-456a-472d-905b-3f3fa48eabf1 · outbound

This paper cites an unresolved cited work.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:31.135284Z

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Observation fd7ddc17-c2cb-48ab-99a8-35079539db0f · outbound

This paper cites Extended dynamic mode decompositionwithlearnedkoopmaneigenfunctionsforpredictionandcontrol.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Extended dynamic mode decompositionwithlearnedkoopmaneigenfunctionsforpredictionandcontrol

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:31.201891Z

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Observation f13c3614-37f5-4b5f-9b5b-8f5083cfc6e3 · outbound

This paper cites Deep learning for universal linear embeddings of nonlinear dynamics.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Deep learning for universal linear embeddings of nonlinear dynamics

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:31.322617Z

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Observation a1cd74e2-4cb1-49d5-9d74-519d41b7b83e · outbound

This paper cites Robust control co-design using tube-based model predictive control.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Robust control co-design using tube-based model predictive control

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:31.449612Z

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Observation e43517cf-7653-4c98-a01b-a5457f1f4242 · outbound

This paper cites Reduced-orderadaptivecontrollersforfluidflowsusingpod.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Reduced-orderadaptivecontrollersforfluidflowsusingpod

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:31.561695Z

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Observation 9baf8953-b8d6-4812-becb-8a39c047ab24 · outbound

This paper cites Unknown parameter excitation and estimation for complex systems with dynamic performances.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Unknown parameter excitation and estimation for complex systems with dynamic performances

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:31.640115Z

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Observation d8eb604d-1153-4da3-b5e6-99207d4f47aa · outbound

This paper cites C., and Handscomb, D.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control C., and Handscomb, D

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:31.782417Z

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Observation 263dae62-d24a-4847-9c9d-0bec665bf036 · outbound

This paper cites Inception-v4,inception-resnetandtheimpactofresidual connections on learning.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Inception-v4,inception-resnetandtheimpactofresidual connections on learning

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:31.988476Z

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Observation 47212637-0fbf-4828-80bb-713ca0a8703b · outbound

This paper cites OSQP: an operator splitting solver for quadratic programs.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control OSQP: an operator splitting solver for quadratic programs

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:32.103604Z

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Observation f1d036c7-fab2-41b1-b349-fc3c2a989180 · outbound

This paper cites Koopman operator-based model predictive control with recursive online update.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Koopman operator-based model predictive control with recursive online update

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:32.175519Z

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Observation 9a046abb-f290-4aea-bede-7e5f04c6861c · outbound

This paper cites Local koopman operators for data-driven control of robotic systems.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Local koopman operators for data-driven control of robotic systems

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:32.348632Z

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Observation eea1d9f6-18f1-45ba-a90e-81cdaa03913f · outbound

This paper cites Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators.

Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control Model Predictive Control of Nonlinear Dynamics Using Online Adaptive Koopman Operators

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T22:23:32.468615Z

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Pith citing papers

Observation cd554f5b-2c54-41ef-805f-f903ab70afdd · inbound

A Continual Validation, Updating, and Decision-Making Framework for Self-Adaptive Digital Twins via Robust Model Predictive Control: A Case Study in Additive Manufacturing cites this paper.

A Continual Validation, Updating, and Decision-Making Framework for Self-Adaptive Digital Twins via Robust Model Predictive Control: A Case Study in Additive Manufacturing Adaptive Digital Twin of Sheet Metal Forming via Proper Orthogonal Decomposition-Based Koopman Operator with Model Predictive Control

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T15:53:53.365643Z

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