Paper Citation Record · LEDGER

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR

As of 17 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2412.19705.

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

pith.paper-citation-record.v1
2412.19705 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:18:32.678509Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:50:08.527402Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T12:21:07.197394Z

Reference resolution

20 of 20 outbound references displayed

verified exact2
verified fuzzy17
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6dfbd570-bb88-4310-830f-2ecad73140b6 · outbound

This paper cites Formulas for data-driven contr ol: Stabilization, optimality, and robustness,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Formulas for data-driven contr ol: Stabilization, optimality, and robustness,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.619286Z

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 fb98f99f-7bcc-4fa5-9041-91af57dcef2f · outbound

This paper cites Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:18:32.812063Z

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 d97cc223-deaf-47f8-b4d9-c1a8cf7c23e1 · outbound

This paper cites Certainty equivalence is e fﬁcient for linear quadratic control,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Certainty equivalence is e fﬁcient for linear quadratic control,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.451199Z

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 cb8d95f8-528d-4d32-ba27-25332724a374 · outbound

This paper cites On the sam ple com- plexity of the linear quadratic regulator,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR On the sam ple com- plexity of the linear quadratic regulator,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.301403Z

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 4080185a-513c-44fc-ac61-9baee391a6dc · outbound

This paper cites From noi sy data to feedback controllers: Nonconservative design via a matr ix s-lemma,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR From noi sy data to feedback controllers: Nonconservative design via a matr ix s-lemma,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.283601Z

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 22b31486-2fd5-46af-9db9-c286bef1c3b5 · outbound

This paper cites Data-driven quadratic stabiliza tion and LQR control of LTI systems,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Data-driven quadratic stabiliza tion and LQR control of LTI systems,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.267540Z

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 5cf5fa98-c480-4623-b6fd-d42b37610b2d · outbound

This paper cites R obust data- driven state-feedback design,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR R obust data- driven state-feedback design,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.249925Z

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 c416d859-4135-4895-b8d0-2607a6cdfdba · outbound

This paper cites Low-complexity learning of lin ear quadratic regulators from noisy data,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Low-complexity learning of lin ear quadratic regulators from noisy data,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.232199Z

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 875a35ed-e79b-44f2-9661-f6afd159f786 · outbound

This paper cites On the certainty-e quivalence ap- proach to direct data-driven lqr design,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR On the certainty-e quivalence ap- proach to direct data-driven lqr design,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.214961Z

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 f235704b-3ef3-45b3-8211-127aeaf9b806 · outbound

This paper cites Data-Enabled Policy Optimization for Direct Adaptive Learning of the LQR.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Data-Enabled Policy Optimization for Direct Adaptive Learning of the LQR

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:18:32.725782Z

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 e315ac59-945a-489a-8a4f-e136023b0065 · outbound

This paper cites On the relationship between da ta-enabled predictive control and subspace predictive control,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR On the relationship between da ta-enabled predictive control and subspace predictive control,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.198058Z

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 8c05d923-a467-4fbc-989b-e14a1edd65ef · outbound

This paper cites On the equivalence of direct and indirect data-driven predictive control appr oaches,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR On the equivalence of direct and indirect data-driven predictive control appr oaches,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.181772Z

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 556e38fb-b8e5-45de-a9b7-6effbf73cbd9 · outbound

This paper cites Noise sensitivity of dire ct data-driven linear quadratic regulator by semideﬁnite programming,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Noise sensitivity of dire ct data-driven linear quadratic regulator by semideﬁnite programming,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.165143Z

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 99a56613-34c1-4778-84dd-5f83e360ec93 · outbound

This paper cites A note on persistency of excitation,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR A note on persistency of excitation,

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T00:18:32.406801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5c022eb-76b5-461a-b5c3-5d027786b055 · outbound

This paper cites Willems’ fundamental lemma for state-space systems and its extensio n to multiple datasets,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Willems’ fundamental lemma for state-space systems and its extensio n to multiple datasets,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:33.024974Z

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 79204799-3b70-4d07-9d31-cec3955eab6b · outbound

This paper cites A quantitative notion of persistency of excitation and the robust fundamen tal lemma,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR A quantitative notion of persistency of excitation and the robust fundamen tal lemma,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:32.947566Z

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 b51bfa69-b7fc-4bbe-bcdb-fa6122f29ffe · outbound

This paper cites Non-asymptotic identiﬁcation of LTI systems from a single trajectory,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Non-asymptotic identiﬁcation of LTI systems from a single trajectory,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:32.930879Z

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 8d0b00b7-d98e-4dd7-8f1f-1972fbb50ef9 · outbound

This paper cites Y almip : A toolbox for modeling and optimi zation in matlab,.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Y almip : A toolbox for modeling and optimi zation in matlab,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:32.912904Z

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 fcf76c25-4d52-400f-ae50-7eb3b94c3242 · outbound

This paper cites Let T ≥ (m + n)(n + 1) + n and deﬁne HT := Hn+1 (V0(T )).

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Let T ≥ (m + n)(n + 1) + n and deﬁne HT := Hn+1 (V0(T ))

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:32.894474Z

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 d34bb934-71d8-4d99-baee-7a2f6dff7bee · outbound

This paper cites Therefore, HT ∗ is full rank with probability one, that is, PT ∗ (rank (HT ∗) = ( m + n)(n + 1)) = 1.

Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR Therefore, HT ∗ is full rank with probability one, that is, PT ∗ (rank (HT ∗) = ( m + n)(n + 1)) = 1

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:18:32.874173Z

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.

Pith citing papers

Observation 786554f1-64b4-453d-a84c-6c3e2fce4fd9 · inbound

Policy Gradient Adaptive Control for the LQR: Indirect and Direct Approaches cites this paper.

Policy Gradient Adaptive Control for the LQR: Indirect and Direct Approaches Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T23:50:08.527402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88a496f3-0850-4324-b5f6-8764e2354806 · inbound

On the Effect of Quadratic Regularization in Direct Data-Driven LQR cites this paper.

On the Effect of Quadratic Regularization in Direct Data-Driven LQR Noise Sensitivity of the Semidefinite Programs for Direct Data-Driven LQR

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-11T12:21:07.200628Z

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.