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Paper Citation Record · LEDGER

Timescale Separation Through the Lens of Operator Theory

As of 9 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2608.02443.

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pith.paper-citation-record.v1
2608.02443 v1

Coverage vector

measured 46 of 46 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T07:27:04.241030Z

measured 46 of 46 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

46 of 46 outbound references displayed

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Outbound references

Observation 167b099f-c839-4e6d-866c-9ec47a6bd735 · outbound

This paper cites Singular perturbation method for reducing the model order in optimal control design,.

Timescale Separation Through the Lens of Operator Theory Singular perturbation method for reducing the model order in optimal control design,

Reference 1

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Observation d60a79bc-322f-4e81-90bb-ef8b8da05262 · outbound

This paper cites Near-optimum design of linear systems by a singular perturbation method,.

Timescale Separation Through the Lens of Operator Theory Near-optimum design of linear systems by a singular perturbation method,

Reference 2

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Observation 4109d200-73ea-4608-80a2-4b9a1a7a5398 · outbound

This paper cites Singular perturbations and order reduction in control theory—an overview,.

Timescale Separation Through the Lens of Operator Theory Singular perturbations and order reduction in control theory—an overview,

Reference 3

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Observation 9ee37084-7428-4deb-a69e-a62341e8c2c3 · outbound

This paper cites Kokotovi ´c, H.

Timescale Separation Through the Lens of Operator Theory Kokotovi ´c, H

Reference 4

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Observation 92236208-4d46-461d-8783-30edcb68b5f1 · outbound

This paper cites Multi-time scale control and optimization via averaging and singular perturbation theory: From ODEs to hybrid dynamical systems,.

Timescale Separation Through the Lens of Operator Theory Multi-time scale control and optimization via averaging and singular perturbation theory: From ODEs to hybrid dynamical systems,

Reference 5

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Observation c5d30c29-d0db-49d8-a2d1-90ab31a6fb16 · outbound

This paper cites Averaging analysis for discrete time and sampled data adaptive systems,.

Timescale Separation Through the Lens of Operator Theory Averaging analysis for discrete time and sampled data adaptive systems,

Reference 6

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Observation e539a18a-452c-4d1d-b1bf-013e56441c84 · outbound

This paper cites On analysis of discrete singularly perturbed non-linear systems: application to the study of stability properties,.

Timescale Separation Through the Lens of Operator Theory On analysis of discrete singularly perturbed non-linear systems: application to the study of stability properties,

Reference 7

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Observation 3bdf879b-50b5-4efa-a303-835d3b1620d6 · outbound

This paper cites A unified framework for input-to-state stability in systems with two time scales,.

Timescale Separation Through the Lens of Operator Theory A unified framework for input-to-state stability in systems with two time scales,

Reference 8

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Observation 0b4e2136-a6ef-43b6-90bb-765d91ecb800 · outbound

This paper cites Discrete singularly perturbed control problems (a survey),.

Timescale Separation Through the Lens of Operator Theory Discrete singularly perturbed control problems (a survey),

Reference 9

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Observation b7c8b642-5b44-479e-ab4d-83796c76ed5c · outbound

This paper cites Timescale separation for discrete-time nonlinear stochastic systems,.

Timescale Separation Through the Lens of Operator Theory Timescale separation for discrete-time nonlinear stochastic systems,

Reference 10

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source=pdf_text observed=2026-08-04T07:27:03.970338Z digest=sha256:83a2c6e446e4e24370351212c36c8a38a6d6ebcd31474721106f4f535707eb81

Observation d7290813-81d1-4c70-b578-ba8eb3665287 · outbound

This paper cites On contraction analysis for non-linear systems,.

Timescale Separation Through the Lens of Operator Theory On contraction analysis for non-linear systems,

Reference 11

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Observation d2406996-389b-4424-bb36-cb3bc541d82a · outbound

This paper cites Contraction methods for nonlinear systems: A brief introduction and some open problems,.

Timescale Separation Through the Lens of Operator Theory Contraction methods for nonlinear systems: A brief introduction and some open problems,

Reference 12

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Observation 080a55d5-2e6b-4e47-b558-aa372cd2308f · outbound

This paper cites An operator splitting approach for distributed generalized Nash equilibria computation,.

Timescale Separation Through the Lens of Operator Theory An operator splitting approach for distributed generalized Nash equilibria computation,

Reference 13

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Observation ec7eff91-909f-45d7-bd34-35eaa72c708f · outbound

This paper cites Semi-decentralized generalized Nash equilibrium seeking in monotone aggregative games,.

Timescale Separation Through the Lens of Operator Theory Semi-decentralized generalized Nash equilibrium seeking in monotone aggregative games,

Reference 14

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Observation c1e0512c-2f08-4e41-ac13-8bea09ceeab8 · outbound

This paper cites Stochastic generalized Nash equilibrium-seeking in merely monotone games,.

Timescale Separation Through the Lens of Operator Theory Stochastic generalized Nash equilibrium-seeking in merely monotone games,

Reference 15

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Observation 9d607f72-14c4-4b11-a241-94610038b0a1 · outbound

This paper cites Distributed generalized Nash equilibrium seeking: An operator-theoretic perspective,.

Timescale Separation Through the Lens of Operator Theory Distributed generalized Nash equilibrium seeking: An operator-theoretic perspective,

Reference 16

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Observation f415183c-770b-4c1c-8ede-673a500c2f9e · outbound

This paper cites Synchronization in networks of nonlinear systems: Contraction analysis via Riemannian metrics and deep-learning for feedback estimation,.

Timescale Separation Through the Lens of Operator Theory Synchronization in networks of nonlinear systems: Contraction analysis via Riemannian metrics and deep-learning for feedback estimation,

Reference 17

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Observation f4a9d08b-b652-43e7-9ea5-f3f196f961da · outbound

This paper cites Perspectives on contractivity in control, optimization, and learning,.

Timescale Separation Through the Lens of Operator Theory Perspectives on contractivity in control, optimization, and learning,

Reference 18

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Observation b6cb893b-0176-4d83-ae95-46b037c724a7 · outbound

This paper cites The END: Estimation network design for games under partial-decision information,.

Timescale Separation Through the Lens of Operator Theory The END: Estimation network design for games under partial-decision information,

Reference 19

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Observation 0d5e1505-20be-47ae-ad74-77096f6c34b9 · outbound

This paper cites Finite-sample guarantees for data-driven forward-backward operator methods,.

Timescale Separation Through the Lens of Operator Theory Finite-sample guarantees for data-driven forward-backward operator methods,

Reference 20

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source=pdf_text observed=2026-08-04T07:27:04.054683Z digest=sha256:73fb4b5a4322ceee619976ad0678eb93144ab94c3cd4628226a30833fb995894

Observation a9ecee02-51e3-4132-839b-c49cf770e1a9 · outbound

This paper cites Primer on monotone operator methods,.

Timescale Separation Through the Lens of Operator Theory Primer on monotone operator methods,

Reference 21

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Observation f9f01b59-7165-48db-bcff-99df3c645b50 · outbound

This paper cites an unresolved cited work.

Timescale Separation Through the Lens of Operator Theory Unresolved cited work

Reference 22

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Observation a3730d3d-ab44-466d-99be-d2ebc0f12fd7 · outbound

This paper cites Contraction and robustness of continuous time primal-dual dynamics,.

Timescale Separation Through the Lens of Operator Theory Contraction and robustness of continuous time primal-dual dynamics,

Reference 23

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Observation e7e248cd-aaae-444f-b61c-6f15f5aeff74 · outbound

This paper cites SuperMann: a superlinearly convergent algorithm for finding fixed points of nonexpansive operators,.

Timescale Separation Through the Lens of Operator Theory SuperMann: a superlinearly convergent algorithm for finding fixed points of nonexpansive operators,

Reference 24

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Observation d44a8b6e-9bec-46b7-91d6-98d4459f5897 · outbound

This paper cites Multi-agent optimization and learning: A non-expansive operators perspective,.

Timescale Separation Through the Lens of Operator Theory Multi-agent optimization and learning: A non-expansive operators perspective,

Reference 25

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Observation ac030e71-4554-4137-8683-7825e5014ff5 · outbound

This paper cites On weakly contracting dynamics for convex optimization,.

Timescale Separation Through the Lens of Operator Theory On weakly contracting dynamics for convex optimization,

Reference 26

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Observation 1c7799d1-2968-49ab-b0f6-d249d1bcdc55 · outbound

This paper cites Non-Euclidean monotone operator theory and applications,.

Timescale Separation Through the Lens of Operator Theory Non-Euclidean monotone operator theory and applications,

Reference 27

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Observation 14c0c3cf-53a2-43c9-bedc-032dd999972d · outbound

This paper cites Time-varying convex optimization: A contraction and equilibrium tracking approach,.

Timescale Separation Through the Lens of Operator Theory Time-varying convex optimization: A contraction and equilibrium tracking approach,

Reference 28

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Observation f43c3231-62c5-4169-8671-d301a3523d56 · outbound

This paper cites Online optimization as a feedback controller: Stability and tracking,.

Timescale Separation Through the Lens of Operator Theory Online optimization as a feedback controller: Stability and tracking,

Reference 29

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Observation 239c6c3d-5bac-4a7f-acae-fecb24751689 · outbound

This paper cites Timescale separation in autonomous optimization,.

Timescale Separation Through the Lens of Operator Theory Timescale separation in autonomous optimization,

Reference 30

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Observation cd02e120-d4a8-425f-80c7-379f8c91a670 · outbound

This paper cites Optimization algorithms as robust feedback controllers,.

Timescale Separation Through the Lens of Operator Theory Optimization algorithms as robust feedback controllers,

Reference 31

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Observation 6f0e35a1-3d9d-4720-b12d-7ced81ce883d · outbound

This paper cites Nonconvex distributed feedback optimization for aggregative cooperative robotics,.

Timescale Separation Through the Lens of Operator Theory Nonconvex distributed feedback optimization for aggregative cooperative robotics,

Reference 32

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Observation 4903acaf-f74f-438a-a0a6-fa68be8d3877 · outbound

This paper cites A Lyapunov function for the combined system-optimizer dynamics in inexact model predictive control,.

Timescale Separation Through the Lens of Operator Theory A Lyapunov function for the combined system-optimizer dynamics in inexact model predictive control,

Reference 33

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Observation 20709357-04ea-4cce-a2c4-459ae20bdc97 · outbound

This paper cites Sampled-data systems: Stability, contractivity and single-iteration suboptimal MPC,.

Timescale Separation Through the Lens of Operator Theory Sampled-data systems: Stability, contractivity and single-iteration suboptimal MPC,

Reference 34

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Observation d715924c-979f-4f06-8c3c-2adab01ee1b9 · outbound

This paper cites Suboptimal and Reduced-Order MPC via Timescale Separation.

Timescale Separation Through the Lens of Operator Theory Suboptimal and Reduced-Order MPC via Timescale Separation

Reference 35

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Observation ff201234-0b4a-49d4-a3ae-9aa5f568614f · outbound

This paper cites ADMM-tracking gradient for distributed optimization over asynchronous and unreliable networks,.

Timescale Separation Through the Lens of Operator Theory ADMM-tracking gradient for distributed optimization over asynchronous and unreliable networks,

Reference 36

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Observation 5deb3444-c0b6-44b8-be9a-7df91fa5be5c · outbound

This paper cites Tracking-based distributed equilibrium seeking for aggregative games,.

Timescale Separation Through the Lens of Operator Theory Tracking-based distributed equilibrium seeking for aggregative games,

Reference 37

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Observation 039f6536-c0b7-48e2-9f06-32f8212fc5bf · outbound

This paper cites A unifying system theory framework for distributed optimization and games,.

Timescale Separation Through the Lens of Operator Theory A unifying system theory framework for distributed optimization and games,

Reference 38

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source=pdf_text observed=2026-08-04T07:27:04.186362Z digest=sha256:4fc244472d6ae2577f70fe9f5a545958e952df04ddf8a15558a1407c7a312bc9

Observation ecf212d7-292d-41ad-be08-7e237e0634f6 · outbound

This paper cites Asynchronous distributed optimization over lossy networks via relaxed ADMM: Stability and linear convergence,.

Timescale Separation Through the Lens of Operator Theory Asynchronous distributed optimization over lossy networks via relaxed ADMM: Stability and linear convergence,

Reference 39

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source=pdf_text observed=2026-08-04T07:27:04.192616Z digest=sha256:e54c518d4e6133abb34255be696400737d57a22fc9d4415603549d81abcc0b44

Observation 0e5202bf-9bee-42db-9ba4-c9a0c8a8448a · outbound

This paper cites ADMM for dynamic average consensus over imperfect networks,.

Timescale Separation Through the Lens of Operator Theory ADMM for dynamic average consensus over imperfect networks,

Reference 40

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Observation fb50df83-5409-4b9e-ab97-ede15f8e06f2 · outbound

This paper cites Modular distributed nonconvex learning with error feedback,.

Timescale Separation Through the Lens of Operator Theory Modular distributed nonconvex learning with error feedback,

Reference 41

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source=pdf_text observed=2026-08-04T07:27:04.208689Z digest=sha256:fc0c73d1297aeff0d05e30c2f311a6a101efbaff531863a1b9ce403d0397865b

Observation f99ab5e2-edef-43bd-8418-1953a4f904c1 · outbound

This paper cites Online feedback optimization and singular perturbation via contraction theory,.

Timescale Separation Through the Lens of Operator Theory Online feedback optimization and singular perturbation via contraction theory,

Reference 42

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source=pdf_text observed=2026-08-04T07:27:04.214033Z digest=sha256:a06177a1c3c0be44c4ec33f4de150d8999b91d646018aee3c2f34f4f41caf5f4

Observation a8a0758b-94d8-4ebd-b263-7e4a60376ca3 · outbound

This paper cites Contraction theory and timescale separation for interconnected nonlinear systems,.

Timescale Separation Through the Lens of Operator Theory Contraction theory and timescale separation for interconnected nonlinear systems,

Reference 43

Resolution
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source=pdf_text observed=2026-08-04T07:27:04.220886Z digest=sha256:09d47d2f093063b68d4fd0c9ce413ff74253fd309c65ceb8837138b199a033bd

Observation 7263321f-ee55-4945-a151-c02c75d4d954 · outbound

This paper cites Optimization and learning in open multi-agent systems,.

Timescale Separation Through the Lens of Operator Theory Optimization and learning in open multi-agent systems,

Reference 44

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Observation bd7d3432-6e60-49f0-8393-1e68d6ad35b8 · outbound

This paper cites Almost sure convergence in feedback optimization via stochastic timescale separation,.

Timescale Separation Through the Lens of Operator Theory Almost sure convergence in feedback optimization via stochastic timescale separation,

Reference 45

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Observation 070e43b6-98b9-4d68-9100-0157f1e8afbe · outbound

This paper cites M-matrix characterizations. I—nonsingular M-matrices,.

Timescale Separation Through the Lens of Operator Theory M-matrix characterizations. I—nonsingular M-matrices,

Reference 46

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Pith citing papers

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