Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:09:34.617295Z
Paper Citation Record · LEDGER
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation
As of 23 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 2 inbound Pith citation observations for arXiv:2505.03057.
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 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T20:36:32.740774Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-02T08:56:49.343478Z
Reference resolution
54 of 54 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e9f401a0-8c85-4cb7-8265-2b5407403eba · outbound
This paper cites Antoulas.
Reference 1
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 152a5ab1-f136-4d5b-899a-210bd2f77578 · outbound
This paper cites Antoulas, Christopher A.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Antoulas, Christopher A
Reference 2
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Unresolved cited work
Reference 3
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Observation ca47f160-9df9-495e-bef5-788ae83dc4dd · outbound
This paper cites Energy-Based Approximation of Linear Systems with Polynomial Outputs.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Energy-Based Approximation of Linear Systems with Polynomial Outputs
Reference 4
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This paper cites Model order r eduction for linear and nonlinear systems: a system-theoretic perspective.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Model order r eduction for linear and nonlinear systems: a system-theoretic perspective
Reference 5
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Observation c574fc0f-dff6-45e0-84ec-f1023c355627 · outbound
This paper cites Inexact solves in interpo- latory model reduction.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Inexact solves in interpo- latory model reduction
Reference 6
- Resolution
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Source-reported events for the cited work
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Observation 5e577e9b-065c-4765-9d57-829d1a4a570a · outbound
This paper cites Interpolation-based H2-model reduction of bilinear con- trol systems.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Interpolation-based H2-model reduction of bilinear con- trol systems
Reference 7
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 998df13d-a83a-4814-ace0-3876a347a757 · outbound
This paper cites H2-quasi-optimal model order reduction for quadratic-bilinear control systems.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation H2-quasi-optimal model order reduction for quadratic-bilinear control systems
Reference 8
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c7088eb-628c-4cd0-a5de-c3948c1e39e8 · outbound
This paper cites Gramians, energy functionals, and bal- anced truncation for linear dynamical systems with quadrat ic outputs.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Gramians, energy functionals, and bal- anced truncation for linear dynamical systems with quadrat ic outputs
Reference 9
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1e5f8d46-c70f-4067-a8be-8e35a1f49d95 · outbound
This paper cites Sorensen.
Reference 10
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 323589ee-e709-4edc-aef3-e6770a0e6238 · outbound
This paper cites Model Reduc- tion and Approximation: Theory and Algorithms.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Model Reduc- tion and Approximation: Theory and Algorithms
Reference 11
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2e170f7a-28a6-4998-8ed3-6a7a2c9d89a9 · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Fourier Transforms
Reference 12
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9cd291d3-35b4-44f0-8e41-65df9fe207e2 · outbound
This paper cites Kronecker products and matrix calculus in system theory.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Kronecker products and matrix calculus in system theory
Reference 13
- Resolution
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Source-reported events for the cited work
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Observation f1da41e0-1bd3-437b-81c0-f28892c9e286 · outbound
This paper cites Krylov subspace model order reduction of l inear dynamical systems with quadratic output.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Krylov subspace model order reduction of l inear dynamical systems with quadratic output
Reference 14
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d12a19d7-cfab-4c87-a49e-e9c7c54478a5 · outbound
This paper cites h2-norm optimal model reduction for large scale discrete dynamical MIMO systems.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation h2-norm optimal model reduction for large scale discrete dynamical MIMO systems
Reference 15
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 64683e8d-ee69-444c-a630-930bdc2fd22a · outbound
This paper cites Interpolation-based model order reduction for quadratic-bilinear systems and H2 optimal approximation.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Interpolation-based model order reduction for quadratic-bilinear systems and H2 optimal approximation
Reference 16
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b4a4db95-4016-40e0-91ea-ce6e47b42051 · outbound
This paper cites Diaz, Matthias Heinkenschloss, Ion Victo r Gosea, and Athanasios C.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Diaz, Matthias Heinkenschloss, Ion Victo r Gosea, and Athanasios C
Reference 17
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 46eaba3b-5d74-4c1f-9f4c-bbd858f211bd · outbound
This paper cites Realization independent sin- gle time-delay dynamical model interpolation and H2-optimal approximation.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Realization independent sin- gle time-delay dynamical model interpolation and H2-optimal approximation
Reference 18
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39d724b3-3351-4098-ba0c-1d877b63f78d · outbound
This paper cites Multipoint Volterra series interpolation and H2 optimal model reduction of bilinear systems.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Multipoint Volterra series interpolation and H2 optimal model reduction of bilinear systems
Reference 19
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 398dbecb-72ad-4ac2-a92b-981bda1f3f3d · outbound
This paper cites Interpolation Methods for the Model Reduction of Bilinear Sy stems.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Interpolation Methods for the Model Reduction of Bilinear Sy stems
Reference 20
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 73c52bf8-00f0-45f6-a33f-b41085e87dbd · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Complex Analysis
Reference 21
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7e06d857-f8b3-4661-a863-09c027b9e41a · outbound
This paper cites Antoulas.
Reference 22
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d6ed63d8-d7f4-4cfd-adf9-752400dd6ab6 · outbound
This paper cites Data-driven mode ling of linear dynamical systems with quadratic output in the AAA framework.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Data-driven mode ling of linear dynamical systems with quadratic output in the AAA framework
Reference 23
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation beec5530-6afb-482d-9eb1-ab1fbcfdac86 · outbound
This paper cites Antoulas, and Christop her Beattie.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Antoulas, and Christop her Beattie
Reference 24
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2d4a5950-faeb-4d9f-8cca-524eca6d0bcc · outbound
This paper cites Energy matching in reduced passive and port-Hamiltonian systems.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Energy matching in reduced passive and port-Hamiltonian systems
Reference 25
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6006a6e0-cf6b-4b7f-94a6-f4110e968985 · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation The commutation matri x: some properties and applica- tions
Reference 26
- Resolution
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Source-reported events for the cited work
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Control of port-Ha miltonian differential-algebraic sys- tems and applications
Reference 27
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00a48e1b-d0c6-4131-99a1-7edf45dd72be · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Approximation of linear c onstant systems
Reference 28
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Observation 1c99ad0c-695b-4f6e-904b-b142fad47a94 · outbound
This paper cites Balanced Truncation of Descriptor Systems with a Quadratic Output.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Balanced Truncation of Descriptor Systems with a Quadratic Output
Reference 29
- Resolution
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Source-reported events for the cited work
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Observation 95332899-2510-4224-ba69-6139f9842ee5 · outbound
This paper cites Energy-based model order reduction for l inear stochastic Galerkin systems of second order.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Energy-based model order reduction for l inear stochastic Galerkin systems of second order
Reference 30
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation afdf10ae-3277-4b23-8892-9d89b83306c0 · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Balanced truncation for model order reduction of linear dy- namical systems with quadratic outputs
Reference 31
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ac2a9d4-4ba5-4bdb-bd40-514ecb0dbdee · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation H2-optimal model reduction of linear quadratic-output systems by multivariate ration al interpolation
Reference 32
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation dbcc77df-0ae4-4a05-b2ec-7c96959d3973 · outbound
This paper cites $H_2$ optimal model reduction of linear systems with multiple quadratic outputs.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation $H_2$ optimal model reduction of linear systems with multiple quadratic outputs
Reference 33
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Interpolatory model reduction of dynamical systems with root mean squared error
Reference 34
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Observation c5bb5fa6-bea2-4c1c-9083-239b98f706b3 · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Nonlinear System Theory
Reference 35
- Resolution
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Source-reported events for the cited work
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Observation 73c5509e-e208-4188-b3aa-535125fc8596 · outbound
This paper cites Balanced Truncation of Linear Systems with Quadratic Outputs in Limited Time and Frequency Intervals.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Balanced Truncation of Linear Systems with Quadratic Outputs in Limited Time and Frequency Intervals
Reference 36
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation ad455744-6dd1-4253-9e67-ff1bf73b9af9 · outbound
This paper cites an unresolved cited work.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Unresolved cited work
Reference 37
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0e847010-f93f-41ca-b60f-bc9c5b2c5b8a · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Model reduction for dynamical systems with quadratic output
Reference 38
- Resolution
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Port-Hamiltonian systems: an int roductory survey
Reference 39
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c9f8f25-8da0-49de-bf41-5d0e0ff45c63 · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation H2-optimal model re- duction of MIMO systems
Reference 40
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 917a1dc6-903c-4b75-abd8-4554e2332b81 · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Gallivan, and P.-A
Reference 41
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 23fd78a6-ba08-46fd-9c96-fada10c2f9d1 · outbound
This paper cites Model reduction b y balanced truncation of linear systems with a quadratic output.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Model reduction b y balanced truncation of linear systems with a quadratic output
Reference 42
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b1c70c5f-0dca-4b0d-898f-4dcab6f72141 · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Unresolved cited work
Reference 43
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation df768bad-098e-450d-a903-b1e89ae239c6 · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation H2 optimal model reduction of linear dy- namical systems with quadratic output by the Riemannian BFG S method
Reference 44
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2c83998e-f777-4ad2-a373-e7619b62046f · outbound
This paper cites Using Krylov-Pad´ e model o rder reduction for accelerating design optimization of structures and vibrations in the fre quency domain.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Using Krylov-Pad´ e model o rder reduction for accelerating design optimization of structures and vibrations in the fre quency domain
Reference 45
- Resolution
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Accelerating optimizatio n of parametric linear sys- tems by model order reduction
Reference 46
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c8fd4d1e-8a8e-47dc-847f-6c0ca1f07154 · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation $\mathcal{H}_2$-optimal Model Reduction of Linear Quadratic Output Systems in Finite Frequency Range
Reference 47
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 25edee39-2412-48c6-84c5-dec72da18d4c · outbound
This paper cites an unresolved cited work.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Unresolved cited work
Reference 48
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Source-reported events for the cited work
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Observation cf879a77-1801-4d89-9850-868c467213ae · outbound
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$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Time-limited H2-optimal Model Order Reduction of Linear Systems with Quadratic Outputs
Reference 54
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 707dfb20-5716-4a8e-a245-77c93fd3b7fc · outbound
This paper cites an unresolved cited work.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Unresolved cited work
Reference 2003
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 10f35230-1447-4761-b544-4fcc50ef568f · outbound
This paper cites an unresolved cited work.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Unresolved cited work
Reference 2022
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e773c233-e0cf-4900-b32e-de26db98c5db · outbound
This paper cites an unresolved cited work.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Unresolved cited work
Reference 2023
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- unresolved
- no resolver link, observed 2026-08-16T00:09:34.245250Z
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Unavailable: canonical work link unavailable.
Observation 2a90d98e-24c1-4a73-a394-8aa2244144b8 · outbound
This paper cites an unresolved cited work.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation Unresolved cited work
Reference 2025
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- verified exact
- doi, observed 2026-08-16T00:09:35.019711Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9f65f475-e2b1-45e4-8daf-21a5367b663f · outbound
This paper cites doi:10.1063/1.3498345.
$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation doi:10.1063/1.3498345
Reference 2036
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- verified exact
- doi, observed 2026-08-16T00:09:34.843761Z
Source-reported events for the cited work
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Pith citing papers
Observation b6ffa6ca-7c49-49f5-b8ea-0410786425ed · inbound
$\mathcal{H}_\infty$ model order reduction for quadratic output systems cites this paper.
$\mathcal{H}_\infty$ model order reduction for quadratic output systems $\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation
Reference 17
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- no resolver link, observed 2026-08-15T20:36:32.740774Z
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Observation 7f385f2e-1e8d-4676-9bdd-f72e2b90b04f · inbound
L2-L2-gain bounds for quadratic output systems cites this paper.
L2-L2-gain bounds for quadratic output systems $\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation
Reference 11
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- verified exact
- local_arxiv, observed 2026-07-02T08:56:49.344782Z
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