Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:00:39.071894Z
Paper Citation Record · LEDGER
Data-driven balanced truncation for second-order systems via the approximate Gramians
As of 9 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2506.03855.
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 2026-05-25T07:58:48.667349Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Reference resolution
34 of 34 outbound references displayed
- verified exact0
- verified fuzzy21
- unresolved13
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
Observation 019a44b8-9d80-4a47-bde8-0f9142724703 · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.626191Z
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 d32a6d28-cf6e-42ca-9c1e-8f68b37f0bfe · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.611442Z
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 81d8c2fe-212a-496e-a48e-72f3493c4a7c · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.596627Z
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 26146bcf-d7bc-49d3-9512-10c0b4f26e4c · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.581757Z
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 92ee281a-aef6-4c45-9fde-d07ad9ad1624 · outbound
This paper cites Meyer, S.
Data-driven balanced truncation for second-order systems via the approximate Gramians Meyer, S
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.566048Z
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 09fb4c3b-fd20-43af-87b6-f7d85e502c61 · outbound
This paper cites Chahlaoui, D.
Data-driven balanced truncation for second-order systems via the approximate Gramians Chahlaoui, D
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.550834Z
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 a87e4768-20fb-43d7-a66c-6139ea6e9eb0 · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.536413Z
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 e244ba4e-8637-4c87-a54d-002c828050d3 · outbound
This paper cites Benner, P.
Data-driven balanced truncation for second-order systems via the approximate Gramians Benner, P
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.520896Z
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 5f2812c5-b3b3-468b-aec2-682ed1bb94f1 · outbound
This paper cites Hartmann, V.
Data-driven balanced truncation for second-order systems via the approximate Gramians Hartmann, V
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.505273Z
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 e481efc3-f791-473e-acb6-1a36b9d9ba69 · outbound
This paper cites Sato, Riemannian optimal model reduction of linear s econd-order systems, IEEE Control Systems Letters 1 (1) (2017) 2–7.
Data-driven balanced truncation for second-order systems via the approximate Gramians Sato, Riemannian optimal model reduction of linear s econd-order systems, IEEE Control Systems Letters 1 (1) (2017) 2–7
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.490549Z
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 5aea5347-2a7a-4c86-a6a8-a2c985c0d7d5 · outbound
This paper cites Mlinaric, P.
Data-driven balanced truncation for second-order systems via the approximate Gramians Mlinaric, P
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.474847Z
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 c234c70f-9b2b-489c-9e4b-11898da2fe54 · outbound
This paper cites Pulch, Stochastic Galerkin method and port-Hamilto nian form for linear dynamical systems of second order, Mathematics and Computers in Simulation 216 (2024) 187–197.
Data-driven balanced truncation for second-order systems via the approximate Gramians Pulch, Stochastic Galerkin method and port-Hamilto nian form for linear dynamical systems of second order, Mathematics and Computers in Simulation 216 (2024) 187–197
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.460414Z
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 985b69ed-9db4-4217-8660-7032dd0832c6 · outbound
This paper cites Beattie, S.
Data-driven balanced truncation for second-order systems via the approximate Gramians Beattie, S
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.444771Z
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 36aaf3fd-19b8-4cd8-b636-d6136886ca42 · outbound
This paper cites Goyal, B.
Data-driven balanced truncation for second-order systems via the approximate Gramians Goyal, B
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.429680Z
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 28d8e9dc-972e-426c-b118-b15291031555 · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.414523Z
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 5f8babf6-3ad1-471b-b9fe-7c5ef02535ee · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.397298Z
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 f313c503-9aad-4882-9de0-c2116966052e · outbound
This paper cites Moreschini, J.
Data-driven balanced truncation for second-order systems via the approximate Gramians Moreschini, J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.382868Z
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 3d71744e-57ab-412e-8e8a-8c4e9dd3d67b · outbound
This paper cites Peherstorfer, K.
Data-driven balanced truncation for second-order systems via the approximate Gramians Peherstorfer, K
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.367678Z
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 d94b041e-4a8b-4d13-a238-1c6c8b19c032 · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.351842Z
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 b57d7f48-b23a-4aee-a511-cc95426956ad · outbound
This paper cites Schwerdtner, M.
Data-driven balanced truncation for second-order systems via the approximate Gramians Schwerdtner, M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.336330Z
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 e285d4ae-ccf3-419f-8059-2e38b7ea304b · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.318064Z
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 a1450282-b7e7-4b11-b073-7d252913b67f · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.301531Z
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 dac0348f-3a1e-4125-ae80-406f3805b57f · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.284138Z
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 cd3fe5d0-e952-42fd-9fef-1757cf9a35de · outbound
This paper cites Boyd, Exponentially convergent fourier-chebshev q uadrature schemes on bounded and infinite intervals, Journal of Scientific Computing 2 (1987) 99–109.
Data-driven balanced truncation for second-order systems via the approximate Gramians Boyd, Exponentially convergent fourier-chebshev q uadrature schemes on bounded and infinite intervals, Journal of Scientific Computing 2 (1987) 99–109
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.268046Z
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 9b3cd92f-3102-4305-ab8d-4b30a046cad5 · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.252565Z
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 77486898-6d25-45cc-bac9-927e8b3d7c24 · outbound
This paper cites Meirovitch, Principles and Techniques of Vibration s, Prentice Hall, New Jersey, 1997.
Data-driven balanced truncation for second-order systems via the approximate Gramians Meirovitch, Principles and Techniques of Vibration s, Prentice Hall, New Jersey, 1997
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.237096Z
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 3b726535-b4b2-4ce4-b183-56b660907879 · outbound
This paper cites an unresolved cited work.
Data-driven balanced truncation for second-order systems via the approximate Gramians Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:00:39.220628Z
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 fa967f14-3766-4898-aecb-c207dc9eea4c · outbound
This paper cites Bonin, H.
Data-driven balanced truncation for second-order systems via the approximate Gramians Bonin, H
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.205293Z
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 b2362f07-895c-4d87-8c99-28b415306532 · outbound
This paper cites Schulze, B.
Data-driven balanced truncation for second-order systems via the approximate Gramians Schulze, B
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.188927Z
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 d8bbcb2b-12ac-4646-9bee-7d35e75a84af · outbound
This paper cites Hamadi, K.
Data-driven balanced truncation for second-order systems via the approximate Gramians Hamadi, K
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.171492Z
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 503ee4cd-2732-40b3-8ceb-edc4edca597c · outbound
This paper cites Sinomcini, A new iterative method for solving large- scale lyapunov matrix equations, SIAM Journal on Scientific Computing 29 (3) (2007) 1268–1288.
Data-driven balanced truncation for second-order systems via the approximate Gramians Sinomcini, A new iterative method for solving large- scale lyapunov matrix equations, SIAM Journal on Scientific Computing 29 (3) (2007) 1268–1288
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.156607Z
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 14067ae6-e0d5-43ff-8f7d-089b1d0daa01 · outbound
This paper cites Sinomcini, Computational methods for linear matrix equations, SIAM Review 58 (3) (2016) 377–441.
Data-driven balanced truncation for second-order systems via the approximate Gramians Sinomcini, Computational methods for linear matrix equations, SIAM Review 58 (3) (2016) 377–441
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.141084Z
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 0ea1a767-0358-4b19-920d-276b9272403e · outbound
This paper cites Chahlaoui, P.
Data-driven balanced truncation for second-order systems via the approximate Gramians Chahlaoui, P
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.125059Z
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 c1591cf4-a7e8-43b5-90ff-00638db91e20 · outbound
This paper cites Benner, D.
Data-driven balanced truncation for second-order systems via the approximate Gramians Benner, D
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:00:39.108970Z
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 237be3bf-7a2b-4258-bec0-92fd82be700d · inbound
Data-driven balanced truncation for second-order systems with generalized proportional damping cites this paper.
Data-driven balanced truncation for second-order systems with generalized proportional damping Data-driven balanced truncation for second-order systems via the approximate Gramians
Reference 45
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T08:00:29.219390Z
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.