Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:18:29.084167Z
Paper Citation Record · LEDGER
Bilinear Quadratic Output Systems and Balanced Truncation
As of 9 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2507.03684.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T12:44:24.413557Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-01T18:16:15.623592Z
Reference resolution
42 of 42 outbound references displayed
- verified exact5
- verified fuzzy7
- unresolved20
- parse uncertain0
- malformed identifier8
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2b766fbb-f69e-4441-8958-b00d2b36fad6 · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:18:35.615844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6d17d01c-eb77-4613-9e6b-7fa701211ceb · outbound
This paper cites Al-Baiyat and M.
Bilinear Quadratic Output Systems and Balanced Truncation Al-Baiyat and M
Reference 2
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-06T20:18:31.035051Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 62c4ce02-3022-4e3c-b6c8-d535d74f46a6 · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:25.036326Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 256de59d-f903-4e96-a6a5-5ec8a7ae5cde · outbound
This paper cites Bai and D.
Bilinear Quadratic Output Systems and Balanced Truncation Bai and D
Reference 4
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-06T20:18:25.208296Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a61d81a-87e1-427b-b0c7-bcfab0eb738a · outbound
This paper cites Benner and T.
Bilinear Quadratic Output Systems and Balanced Truncation Benner and T
Reference 5
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T20:18:35.353335Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7aa0b860-ae20-42b6-b838-498ffcedb07e · outbound
This paper cites Benner and T.
Bilinear Quadratic Output Systems and Balanced Truncation Benner and T
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:25.509201Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02c756fc-6fc8-4c93-bd7f-6f928bcfc826 · outbound
This paper cites Benner and T.
Bilinear Quadratic Output Systems and Balanced Truncation Benner and T
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:25.646269Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eed5559c-b72d-40df-9765-446d3136afb0 · outbound
This paper cites Benner and H.
Bilinear Quadratic Output Systems and Balanced Truncation Benner and H
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:25.757130Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09f1c554-2b91-4b6f-a5fc-b35a7fb40edd · outbound
This paper cites Benner and P.
Bilinear Quadratic Output Systems and Balanced Truncation Benner and P
Reference 10
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T20:18:35.081571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7deabc91-7920-42b4-9a83-3a48454a22b9 · outbound
This paper cites Benner, P.
Bilinear Quadratic Output Systems and Balanced Truncation Benner, P
Reference 11
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-06T20:18:30.780900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d1ad2702-eb80-4067-8ffb-67a05bec4dc7 · outbound
This paper cites Benner, P.
Bilinear Quadratic Output Systems and Balanced Truncation Benner, P
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:26.026203Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d5750a1-2cd2-486b-8842-205841b058eb · outbound
This paper cites Breiten and T.
Bilinear Quadratic Output Systems and Balanced Truncation Breiten and T
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:26.180979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b87d6730-cb63-40c7-b8b3-d7074f7b0774 · outbound
This paper cites Condon and R.
Bilinear Quadratic Output Systems and Balanced Truncation Condon and R
Reference 14
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T20:18:34.819755Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c42c5d70-2fcb-4b3a-8842-65955f96c391 · outbound
This paper cites Damm , Rational Matrix Equations in Stochastic Control , Lecture Notes in Control and Information Sciences, 297 (2004).
Bilinear Quadratic Output Systems and Balanced Truncation Damm , Rational Matrix Equations in Stochastic Control , Lecture Notes in Control and Information Sciences, 297 (2004)
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:18:34.700138Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b5473dab-a187-4936-b023-adaf34c407f5 · outbound
This paper cites Damm , Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations, Numerical Linear Algebra with Applications, 15 (2008), pp.
Bilinear Quadratic Output Systems and Balanced Truncation Damm , Direct methods and ADI-preconditioned Krylov subspace methods for generalized Lyapunov equations, Numerical Linear Algebra with Applications, 15 (2008), pp
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:26.570817Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d02864bb-fc5e-4011-8f58-1bd9a2ddb09f · outbound
This paper cites Fujimoto, J.
Bilinear Quadratic Output Systems and Balanced Truncation Fujimoto, J
Reference 17
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T20:18:34.502618Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 15c85d8c-dd17-41a3-8189-77c4ee9efde4 · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:26.852514Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f214a987-b47b-46d5-a59a-a6d3a822315d · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 19
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T20:18:34.317687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 87a6dc75-d763-42f0-9e31-2d8ad3a4e628 · outbound
This paper cites Gugercin and A.
Bilinear Quadratic Output Systems and Balanced Truncation Gugercin and A
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:18:34.128578Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 89e7da84-999c-448a-a5b9-b2c2d516e857 · outbound
This paper cites Hartmann, C.
Bilinear Quadratic Output Systems and Balanced Truncation Hartmann, C
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:18:33.761910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 99a1fab1-0403-4328-b071-8996407ad3b4 · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:18:33.429861Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 41bd0efc-0cbe-4f95-9ee2-ed949e6f48ac · outbound
This paper cites Lancaster and M.
Bilinear Quadratic Output Systems and Balanced Truncation Lancaster and M
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:18:33.250138Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 88796d6e-38a1-4106-88e5-f74309c7a2c2 · outbound
This paper cites Mehrmann and B.
Bilinear Quadratic Output Systems and Balanced Truncation Mehrmann and B
Reference 24
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T20:18:33.103012Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cd980e17-cd77-40a1-84aa-1f48478eebe0 · outbound
This paper cites Mohler , Nonlinear systems (vol.
Bilinear Quadratic Output Systems and Balanced Truncation Mohler , Nonlinear systems (vol
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:18:32.876159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c2117c57-c8a5-4e7b-a0f8-cd4fad1a72c0 · outbound
This paper cites Moore, Principal component analysis in linear systems: Controllability, observability, and model reduction, IEEE Transactions on Automatic Control, 26 (1981), pp.
Bilinear Quadratic Output Systems and Balanced Truncation Moore, Principal component analysis in linear systems: Controllability, observability, and model reduction, IEEE Transactions on Automatic Control, 26 (1981), pp
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:27.582165Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a8926ef-18b4-4e73-9b86-951015bb4707 · outbound
This paper cites Mullis and R.
Bilinear Quadratic Output Systems and Balanced Truncation Mullis and R
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:27.666337Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 153defa1-3e3d-4628-9b79-3054895c1733 · outbound
This paper cites Padhi, Model Order Reduction of Nonlinear Dynamical Systems , master’s thesis, Indian Institute of Science Education and Research Pune, Pashan, Pune India, May 2024.
Bilinear Quadratic Output Systems and Balanced Truncation Padhi, Model Order Reduction of Nonlinear Dynamical Systems , master’s thesis, Indian Institute of Science Education and Research Pune, Pashan, Pune India, May 2024
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:18:32.681167Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f3c06329-3042-466b-92ed-c5898cb9713e · outbound
This paper cites Pulch, Energy-based model order reduction for linear stochastic Galerkin systems of second order, PAMM, 23 (2023), p.
Bilinear Quadratic Output Systems and Balanced Truncation Pulch, Energy-based model order reduction for linear stochastic Galerkin systems of second order, PAMM, 23 (2023), p
Reference 29
- Resolution
- verified exact
- doi, observed 2026-08-06T20:18:30.144571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e49dba0d-4ca4-47e3-a816-b703f365f82f · outbound
This paper cites Pulch and A.
Bilinear Quadratic Output Systems and Balanced Truncation Pulch and A
Reference 30
- Resolution
- verified exact
- doi, observed 2026-08-06T20:18:29.849952Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c99adf05-ef62-4eae-8564-0395b57f2970 · outbound
This paper cites Interpolatory model reduction of dynamical systems with root mean squared error.
Bilinear Quadratic Output Systems and Balanced Truncation Interpolatory model reduction of dynamical systems with root mean squared error
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T20:18:30.372365Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d75a5195-406c-47dd-8e25-f298721b44b5 · outbound
This paper cites Reiter and S.
Bilinear Quadratic Output Systems and Balanced Truncation Reiter and S
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:18:32.523520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f561454b-8f06-458e-ab4f-3e270e0ee925 · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:18:32.333691Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d0ec282d-7e79-414c-ace0-6d66486fe002 · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:28.413600Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a550365-9bfb-4da2-9b9b-5675dda8e905 · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:28.486811Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a0fdf97-e3be-4bc7-bc56-8a9ce65f6ae4 · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 36
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-06T20:18:32.084660Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 97890a0a-7aa9-4521-841c-99f50c9d1477 · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:18:31.781223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 24fe31bc-c56b-4b1c-9d67-7efc84012ebc · outbound
This paper cites V an Beeumen, K.
Bilinear Quadratic Output Systems and Balanced Truncation V an Beeumen, K
Reference 38
- Resolution
- verified exact
- doi, observed 2026-08-06T20:18:29.633369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3443854f-f9e1-4b75-9153-ddcb1ee31789 · outbound
This paper cites van der Schaft, Port-Hamiltonian systems: an introductory survey , in International con- gress of mathematicians, European Mathematical Society Publishing House (EMS Ph), 2006, pp.
Bilinear Quadratic Output Systems and Balanced Truncation van der Schaft, Port-Hamiltonian systems: an introductory survey , in International con- gress of mathematicians, European Mathematical Society Publishing House (EMS Ph), 2006, pp
Reference 39
- Resolution
- verified exact
- doi, observed 2026-08-06T20:18:29.322390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9b0a7795-28e7-4683-b163-615e5317367b · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:18:31.584183Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 11860b0c-1fee-45b1-bdb6-dbfa96db8a92 · outbound
This paper cites Yue and K.
Bilinear Quadratic Output Systems and Balanced Truncation Yue and K
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:28.956989Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f869ec6-fce3-4cad-ba88-6551cc8ea3f7 · outbound
This paper cites Zhang and J.
Bilinear Quadratic Output Systems and Balanced Truncation Zhang and J
Reference 42
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:18:29.028698Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 91b1c70b-d21b-43db-8733-94dd6217e5ee · outbound
This paper cites an unresolved cited work.
Bilinear Quadratic Output Systems and Balanced Truncation Unresolved cited work
Reference 43
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:18:31.363646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
Observation e7831d0b-f8b7-42fd-89e7-4e9c5f4f73f3 · inbound
Bilinear Systems with Quadratic Outputs: $\mathcal{H}_2$ Analysis, Optimality Conditions for Model Reduction, and Algorithmic Solutions cites this paper.
Bilinear Systems with Quadratic Outputs: $\mathcal{H}_2$ Analysis, Optimality Conditions for Model Reduction, and Algorithmic Solutions Bilinear Quadratic Output Systems and Balanced Truncation
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-01T12:50:03.227331Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.