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Paper Citation Record · LEDGER

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion

As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.08318.

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

pith.paper-citation-record.v1
2608.08318 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:17:50.160330Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cbd9d7e4-bbac-4f05-a3b7-822655ed0160 · outbound

This paper cites an unresolved cited work.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:50.347351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.106942Z digest=sha256:b27de2be35fee6bca74be4ee3a02c53a06bb6f73d3f0e47c43d2838bf09fc4bc

Observation 21cd15c8-e236-43a2-905f-4e0c4c546caf · outbound

This paper cites The future of PID control,.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion The future of PID control,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.339131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.110315Z digest=sha256:e2fdcdd0df0e7f44a9eed4715d3c52f0ae51989ebb8be85129f7fc947e96d536

Observation 91097b90-cc55-463f-af02-66c1de8917bd · outbound

This paper cites an unresolved cited work.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:50.329402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 751ed19f-b093-444a-bd8b-9f719d01e282 · outbound

This paper cites an unresolved cited work.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:50.320612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.116432Z digest=sha256:cdabc0b6f4279e005f2616cd2d16fd02255b6df28e18068d1b11b32d67fd2927

Observation 35f92d3b-93a9-4fda-8fb9-33e6c78bacb8 · outbound

This paper cites Quasi feedback forms for differential-algebraic systems,.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Quasi feedback forms for differential-algebraic systems,

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.312322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.119575Z digest=sha256:85881b3350f549a2b160a8830610cecd54249725f20ab8c444ac3e40bb8355c2

Observation b8c79005-feba-4504-97c4-b3cdcdce2722 · outbound

This paper cites Chen and B.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Chen and B

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.303047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.123065Z digest=sha256:d84721b5ade9d47f4f3fb7513cf72d88fe2fc223221837e8c5d7d80d37ff9fd8

Observation 4cf7ec8b-5889-4fd9-9c8c-c079ea58c003 · outbound

This paper cites Stabilization by using artificial delays: An LMI approach,.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Stabilization by using artificial delays: An LMI approach,

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.293912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.126321Z digest=sha256:167abe9f89b3200138423f70ff1da2816f0f66968e8ecb03a88c17ee0f0d6ef6

Observation ccce13d1-641f-4fd3-be66-290467c0dfec · outbound

This paper cites Robust sampled-data stabiliza- tion of linear systems: An input delay approach,.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Robust sampled-data stabiliza- tion of linear systems: An input delay approach,

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.284666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.129449Z digest=sha256:dbf8eee9a78d3d8225454c8dda6fb51bcfe01b80e42042456e0b2a131a8500f5

Observation 644c4165-03e7-493a-8dc9-7ad4aa7624a3 · outbound

This paper cites A refined input delay approach to sampled-data control,.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion A refined input delay approach to sampled-data control,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.275464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.132323Z digest=sha256:af81e06da08e4650cbfc14a3ae40e37ec1957b0a5504ec30487cb606d43cb0a8

Observation 2461b3cb-146c-4400-b82f-3e32536f5aa5 · outbound

This paper cites Kailath, Linear Systems.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Kailath, Linear Systems

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.266694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.135355Z digest=sha256:5d5882f759958aea9787e246256eca3d89dbda682e18a818914a45515f4616e3

Observation 269ca787-02f3-4ba1-ba75-171613037a3d · outbound

This paper cites Kato, Perturbation Theory for Linear Operators , 2nd ed.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Kato, Perturbation Theory for Linear Operators , 2nd ed

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.257242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.138478Z digest=sha256:5bcc132c431e0be963c2d9323e38cf43b368d95e8313f6dbb662b74cb92e8ad1

Observation c131bbc5-d13a-4d16-b9d2-1cf6f471141d · outbound

This paper cites Wirtinger’s inequality and Lyapunov-based sampled-data stabilization,.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Wirtinger’s inequality and Lyapunov-based sampled-data stabilization,

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.248157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.141515Z digest=sha256:7182495233402121fc93ccdb2128abf690981d2575d9c7433db2774b7ca402de

Observation ff874084-c171-4b38-bbb6-d86977f4d632 · outbound

This paper cites Intermittent redesign of analog controllers via the Youla parameter,.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Intermittent redesign of analog controllers via the Youla parameter,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.238257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.144370Z digest=sha256:fb2e90f4e95c405faad8f3d3dcb59976e18f9450f4a09dd384897356bccc146d

Observation 205361ff-2311-47aa-8d94-5f098678c039 · outbound

This paper cites Robust Stability of Discrete-time Disturbance Observers: Understanding Interplay of Sampling, Model Uncertainty and Discrete-time Designs.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Robust Stability of Discrete-time Disturbance Observers: Understanding Interplay of Sampling, Model Uncertainty and Discrete-time Designs

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:17:50.188669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.147282Z digest=sha256:8130b4052d5cd89dc6edbccf27365173370b53da9105aae9a591092dd41391a6

Observation 1039ea10-3202-4896-82cb-f08670e81277 · outbound

This paper cites Robust sampled-data implementation of PID controller,.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Robust sampled-data implementation of PID controller,

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.228183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.150809Z digest=sha256:64c20c5df9540bb0b457e08c000a444e2baf28a90ce24f59f1c401f702db7d63

Observation e2eec656-2b1c-453f-b60b-c8c6f04f887c · outbound

This paper cites Sampled-data implementation of derivative-dependent control using artificial delays,.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Sampled-data implementation of derivative-dependent control using artificial delays,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.218980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.154585Z digest=sha256:e203bb0b5555431704114018dc3464540c9860f592cb119dc0ef5f38927c1c50

Observation b9b2ddc5-5f99-4b82-aaf5-4dae043e997c · outbound

This paper cites an unresolved cited work.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:17:50.208881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.157416Z digest=sha256:b481dcb5cc41724818961ccbe46eb69aa41830c87a1cee8d20457d2ecbf6dedb

Observation 332d25c8-de73-4057-a00a-ba5ec60d146e · outbound

This paper cites On the stability of nonlinear sampled-data systems and their continuous-time limits,.

Stability of MIMO PID With Backward Differences Under Fast Sampling: An Exact Spectral Criterion On the stability of nonlinear sampled-data systems and their continuous-time limits,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:17:50.198450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:17:50.160330Z digest=sha256:5c75ca795d7e58d493741a58d85c0940acf8a2a9f60f2c84e895d1fbdfafadf2

Pith citing papers

No inbound Pith citation observations are available.