A behavioral approach to data-driven control with noisy input-output data Article Swipe

PDF

Henk J. van Waarde , Jaap Eising , M. Kanat Camlibel , Harry L. Trentelman ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2206.08408

This paper deals with data-driven stability analysis and feedback stabillization of linear input-output systems in autoregressive (AR) form. We assume that noisy input-output data on a finite time-interval have been obtained from some unknown AR system. Data-based tests are then developed to analyse whether the unknown system is stable, or to verify whether a stabilizing dynamic feedback controller exists. If so, stabilizing controllers are computed using the data. In order to do this, we employ the behavioral approach to systems and control, meaning a departure from existing methods in data driven control. Our results heavily rely on a characterization of asymptotic stability of systems in AR form using the notion of quadratic difference form (QDF) as a natural framework for Lyapunov functions of autonomous AR systems. We introduce the concepts of informative data for quadratic stability and quadratic stabilization in the context of input-output AR systems and establish necessary and sufficient conditions for these properties to hold. In addition, this paper will build on results on quadratic matrix inequalties (QMIs) and a matrix version of Yakubovich's S-lemma.

Related Topics

Computer Science

Mathematics

Artificial Intelligence

Machine Learning

Statistics

Mathematical Analysis

Concepts

Control theory (sociology) Context (archaeology) Stability (learning theory) Autoregressive model Controller (irrigation) Computer science Quadratic equation Lemma (botany) Lyapunov function Matrix (chemical analysis) Linear system Mathematics Control (management) Artificial intelligence Machine learning Statistics Mathematical analysis Physics Quantum mechanics Composite material Nonlinear system Geometry Biology Agronomy Materials science Paleontology Poaceae Ecology

Metadata

Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2206.08408
PDF: https://arxiv.org/pdf/2206.08408
OA Status: green
Cited By: 2
Related Works: 10
OpenAlex ID: https://openalex.org/W4283207516

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4283207516

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.48550/arxiv.2206.08408

Digital Object Identifier
Title: A behavioral approach to data-driven control with noisy input-output data

Work title
Type: preprint

OpenAlex work type
Language: en

Primary language
Publication year: 2022

Year of publication
Publication date: 2022-06-16

Full publication date if available
Authors: Henk J. van Waarde, Jaap Eising, M. Kanat Camlibel, Harry L. Trentelman

List of authors in order
Landing page: https://arxiv.org/abs/2206.08408

Publisher landing page
PDF URL: https://arxiv.org/pdf/2206.08408

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: green

Open access status per OpenAlex
OA URL: https://arxiv.org/pdf/2206.08408

Direct OA link when available
Concepts: Control theory (sociology), Context (archaeology), Stability (learning theory), Autoregressive model, Controller (irrigation), Computer science, Quadratic equation, Lemma (botany), Lyapunov function, Matrix (chemical analysis), Linear system, Mathematics, Control (management), Artificial intelligence, Machine learning, Statistics, Mathematical analysis, Physics, Quantum mechanics, Composite material, Nonlinear system, Geometry, Biology, Agronomy, Materials science, Paleontology, Poaceae, Ecology

Top concepts (fields/topics) attached by OpenAlex
Cited by: 2

Total citation count in OpenAlex
Citations by year (recent): 2023: 2

Per-year citation counts (last 5 years)
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4283207516
doi	https://doi.org/10.48550/arxiv.2206.08408
ids.doi	https://doi.org/10.48550/arxiv.2206.08408
ids.openalex	https://openalex.org/W4283207516
fwci
type	preprint
title	A behavioral approach to data-driven control with noisy input-output data
biblio.issue
biblio.volume
biblio.last_page
biblio.first_page
topics[0].id	https://openalex.org/T11236
topics[0].field.id	https://openalex.org/fields/22
topics[0].field.display_name	Engineering
topics[0].score	0.9998999834060669
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/2207
topics[0].subfield.display_name	Control and Systems Engineering
topics[0].display_name	Control Systems and Identification
topics[1].id	https://openalex.org/T10876
topics[1].field.id	https://openalex.org/fields/22
topics[1].field.display_name	Engineering
topics[1].score	0.9980999827384949
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/2207
topics[1].subfield.display_name	Control and Systems Engineering
topics[1].display_name	Fault Detection and Control Systems
topics[2].id	https://openalex.org/T10046
topics[2].field.id	https://openalex.org/fields/22
topics[2].field.display_name	Engineering
topics[2].score	0.9973000288009644
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/2207
topics[2].subfield.display_name	Control and Systems Engineering
topics[2].display_name	Stability and Control of Uncertain Systems
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C47446073
concepts[0].level	3
concepts[0].score	0.6527277231216431
concepts[0].wikidata	https://www.wikidata.org/wiki/Q5165890
concepts[0].display_name	Control theory (sociology)
concepts[1].id	https://openalex.org/C2779343474
concepts[1].level	2
concepts[1].score	0.6320253610610962
concepts[1].wikidata	https://www.wikidata.org/wiki/Q3109175
concepts[1].display_name	Context (archaeology)
concepts[2].id	https://openalex.org/C112972136
concepts[2].level	2
concepts[2].score	0.5969401001930237
concepts[2].wikidata	https://www.wikidata.org/wiki/Q7595718
concepts[2].display_name	Stability (learning theory)
concepts[3].id	https://openalex.org/C159877910
concepts[3].level	2
concepts[3].score	0.5769370198249817
concepts[3].wikidata	https://www.wikidata.org/wiki/Q2202883
concepts[3].display_name	Autoregressive model
concepts[4].id	https://openalex.org/C203479927
concepts[4].level	2
concepts[4].score	0.5714483261108398
concepts[4].wikidata	https://www.wikidata.org/wiki/Q5165939
concepts[4].display_name	Controller (irrigation)
concepts[5].id	https://openalex.org/C41008148
concepts[5].level	0
concepts[5].score	0.5675069093704224
concepts[5].wikidata	https://www.wikidata.org/wiki/Q21198
concepts[5].display_name	Computer science
concepts[6].id	https://openalex.org/C129844170
concepts[6].level	2
concepts[6].score	0.5467419028282166
concepts[6].wikidata	https://www.wikidata.org/wiki/Q41299
concepts[6].display_name	Quadratic equation
concepts[7].id	https://openalex.org/C2777759810
concepts[7].level	3
concepts[7].score	0.5366185903549194
concepts[7].wikidata	https://www.wikidata.org/wiki/Q149316
concepts[7].display_name	Lemma (botany)
concepts[8].id	https://openalex.org/C60640748
concepts[8].level	3
concepts[8].score	0.48358720541000366
concepts[8].wikidata	https://www.wikidata.org/wiki/Q2337858
concepts[8].display_name	Lyapunov function
concepts[9].id	https://openalex.org/C106487976
concepts[9].level	2
concepts[9].score	0.46569713950157166
concepts[9].wikidata	https://www.wikidata.org/wiki/Q685816
concepts[9].display_name	Matrix (chemical analysis)
concepts[10].id	https://openalex.org/C6802819
concepts[10].level	2
concepts[10].score	0.4138444662094116
concepts[10].wikidata	https://www.wikidata.org/wiki/Q1072174
concepts[10].display_name	Linear system
concepts[11].id	https://openalex.org/C33923547
concepts[11].level	0
concepts[11].score	0.3589286804199219
concepts[11].wikidata	https://www.wikidata.org/wiki/Q395
concepts[11].display_name	Mathematics
concepts[12].id	https://openalex.org/C2775924081
concepts[12].level	2
concepts[12].score	0.32803502678871155
concepts[12].wikidata	https://www.wikidata.org/wiki/Q55608371
concepts[12].display_name	Control (management)
concepts[13].id	https://openalex.org/C154945302
concepts[13].level	1
concepts[13].score	0.14442473649978638
concepts[13].wikidata	https://www.wikidata.org/wiki/Q11660
concepts[13].display_name	Artificial intelligence
concepts[14].id	https://openalex.org/C119857082
concepts[14].level	1
concepts[14].score	0.0706256628036499
concepts[14].wikidata	https://www.wikidata.org/wiki/Q2539
concepts[14].display_name	Machine learning
concepts[15].id	https://openalex.org/C105795698
concepts[15].level	1
concepts[15].score	0.06252038478851318
concepts[15].wikidata	https://www.wikidata.org/wiki/Q12483
concepts[15].display_name	Statistics
concepts[16].id	https://openalex.org/C134306372
concepts[16].level	1
concepts[16].score	0.0
concepts[16].wikidata	https://www.wikidata.org/wiki/Q7754
concepts[16].display_name	Mathematical analysis
concepts[17].id	https://openalex.org/C121332964
concepts[17].level	0
concepts[17].score	0.0
concepts[17].wikidata	https://www.wikidata.org/wiki/Q413
concepts[17].display_name	Physics
concepts[18].id	https://openalex.org/C62520636
concepts[18].level	1
concepts[18].score	0.0
concepts[18].wikidata	https://www.wikidata.org/wiki/Q944
concepts[18].display_name	Quantum mechanics
concepts[19].id	https://openalex.org/C159985019
concepts[19].level	1
concepts[19].score	0.0
concepts[19].wikidata	https://www.wikidata.org/wiki/Q181790
concepts[19].display_name	Composite material
concepts[20].id	https://openalex.org/C158622935
concepts[20].level	2
concepts[20].score	0.0
concepts[20].wikidata	https://www.wikidata.org/wiki/Q660848
concepts[20].display_name	Nonlinear system
concepts[21].id	https://openalex.org/C2524010
concepts[21].level	1
concepts[21].score	0.0
concepts[21].wikidata	https://www.wikidata.org/wiki/Q8087
concepts[21].display_name	Geometry
concepts[22].id	https://openalex.org/C86803240
concepts[22].level	0
concepts[22].score	0.0
concepts[22].wikidata	https://www.wikidata.org/wiki/Q420
concepts[22].display_name	Biology
concepts[23].id	https://openalex.org/C6557445
concepts[23].level	1
concepts[23].score	0.0
concepts[23].wikidata	https://www.wikidata.org/wiki/Q173113
concepts[23].display_name	Agronomy
concepts[24].id	https://openalex.org/C192562407
concepts[24].level	0
concepts[24].score	0.0
concepts[24].wikidata	https://www.wikidata.org/wiki/Q228736
concepts[24].display_name	Materials science
concepts[25].id	https://openalex.org/C151730666
concepts[25].level	1
concepts[25].score	0.0
concepts[25].wikidata	https://www.wikidata.org/wiki/Q7205
concepts[25].display_name	Paleontology
concepts[26].id	https://openalex.org/C46757340
concepts[26].level	2
concepts[26].score	0.0
concepts[26].wikidata	https://www.wikidata.org/wiki/Q43238
concepts[26].display_name	Poaceae
concepts[27].id	https://openalex.org/C18903297
concepts[27].level	1
concepts[27].score	0.0
concepts[27].wikidata	https://www.wikidata.org/wiki/Q7150
concepts[27].display_name	Ecology
keywords[0].id	https://openalex.org/keywords/control-theory
keywords[0].score	0.6527277231216431
keywords[0].display_name	Control theory (sociology)
keywords[1].id	https://openalex.org/keywords/context
keywords[1].score	0.6320253610610962
keywords[1].display_name	Context (archaeology)
keywords[2].id	https://openalex.org/keywords/stability
keywords[2].score	0.5969401001930237
keywords[2].display_name	Stability (learning theory)
keywords[3].id	https://openalex.org/keywords/autoregressive-model
keywords[3].score	0.5769370198249817
keywords[3].display_name	Autoregressive model
keywords[4].id	https://openalex.org/keywords/controller
keywords[4].score	0.5714483261108398
keywords[4].display_name	Controller (irrigation)
keywords[5].id	https://openalex.org/keywords/computer-science
keywords[5].score	0.5675069093704224
keywords[5].display_name	Computer science
keywords[6].id	https://openalex.org/keywords/quadratic-equation
keywords[6].score	0.5467419028282166
keywords[6].display_name	Quadratic equation
keywords[7].id	https://openalex.org/keywords/lemma
keywords[7].score	0.5366185903549194
keywords[7].display_name	Lemma (botany)
keywords[8].id	https://openalex.org/keywords/lyapunov-function
keywords[8].score	0.48358720541000366
keywords[8].display_name	Lyapunov function
keywords[9].id	https://openalex.org/keywords/matrix
keywords[9].score	0.46569713950157166
keywords[9].display_name	Matrix (chemical analysis)
keywords[10].id	https://openalex.org/keywords/linear-system
keywords[10].score	0.4138444662094116
keywords[10].display_name	Linear system
keywords[11].id	https://openalex.org/keywords/mathematics
keywords[11].score	0.3589286804199219
keywords[11].display_name	Mathematics
keywords[12].id	https://openalex.org/keywords/control
keywords[12].score	0.32803502678871155
keywords[12].display_name	Control (management)
keywords[13].id	https://openalex.org/keywords/artificial-intelligence
keywords[13].score	0.14442473649978638
keywords[13].display_name	Artificial intelligence
keywords[14].id	https://openalex.org/keywords/machine-learning
keywords[14].score	0.0706256628036499
keywords[14].display_name	Machine learning
keywords[15].id	https://openalex.org/keywords/statistics
keywords[15].score	0.06252038478851318
keywords[15].display_name	Statistics
language	en
locations[0].id	pmh:oai:arXiv.org:2206.08408
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S4306400194
locations[0].source.issn
locations[0].source.type	repository
locations[0].source.is_oa	True
locations[0].source.issn_l
locations[0].source.is_core	False
locations[0].source.is_in_doaj	False
locations[0].source.display_name	arXiv (Cornell University)
locations[0].source.host_organization	https://openalex.org/I205783295
locations[0].source.host_organization_name	Cornell University
locations[0].source.host_organization_lineage	https://openalex.org/I205783295
locations[0].license
locations[0].pdf_url	https://arxiv.org/pdf/2206.08408
locations[0].version	submittedVersion
locations[0].raw_type
locations[0].license_id
locations[0].is_accepted	False
locations[0].is_published	False
locations[0].raw_source_name
locations[0].landing_page_url	http://arxiv.org/abs/2206.08408
locations[1].id	doi:10.48550/arxiv.2206.08408
locations[1].is_oa	True
locations[1].source.id	https://openalex.org/S4306400194
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	True
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	arXiv (Cornell University)
locations[1].source.host_organization	https://openalex.org/I205783295
locations[1].source.host_organization_name	Cornell University
locations[1].source.host_organization_lineage	https://openalex.org/I205783295
locations[1].license
locations[1].pdf_url
locations[1].version
locations[1].raw_type	article
locations[1].license_id
locations[1].is_accepted	False
locations[1].is_published
locations[1].raw_source_name
locations[1].landing_page_url	https://doi.org/10.48550/arxiv.2206.08408
indexed_in	arxiv, datacite
authorships[0].author.id	https://openalex.org/A5087952337
authorships[0].author.orcid	https://orcid.org/0000-0002-2561-2682
authorships[0].author.display_name	Henk J. van Waarde
authorships[0].author_position	first
authorships[0].raw_author_name	van Waarde, Henk J.
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5075605431
authorships[1].author.orcid	https://orcid.org/0000-0003-2155-8196
authorships[1].author.display_name	Jaap Eising
authorships[1].author_position	middle
authorships[1].raw_author_name	Eising, Jaap
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5000993019
authorships[2].author.orcid	https://orcid.org/0000-0002-2407-8166
authorships[2].author.display_name	M. Kanat Camlibel
authorships[2].author_position	middle
authorships[2].raw_author_name	Camlibel, M. Kanat
authorships[2].is_corresponding	False
authorships[3].author.id	https://openalex.org/A5045235248
authorships[3].author.orcid	https://orcid.org/0000-0001-9463-8651
authorships[3].author.display_name	Harry L. Trentelman
authorships[3].author_position	last
authorships[3].raw_author_name	Trentelman, Harry L.
authorships[3].is_corresponding	False
has_content.pdf	False
has_content.grobid_xml	False
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://arxiv.org/pdf/2206.08408
open_access.oa_status	green
open_access.any_repository_has_fulltext	False
created_date	2022-06-22T00:00:00
display_name	A behavioral approach to data-driven control with noisy input-output data
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T06:51:31.235846
primary_topic.id	https://openalex.org/T11236
primary_topic.field.id	https://openalex.org/fields/22
primary_topic.field.display_name	Engineering
primary_topic.score	0.9998999834060669
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/2207
primary_topic.subfield.display_name	Control and Systems Engineering
primary_topic.display_name	Control Systems and Identification
related_works	https://openalex.org/W3006682748, https://openalex.org/W1097487277, https://openalex.org/W2768610039, https://openalex.org/W4285390085, https://openalex.org/W2801357573, https://openalex.org/W2974000959, https://openalex.org/W2106889256, https://openalex.org/W2982363256, https://openalex.org/W4308265086, https://openalex.org/W1716629940
cited_by_count	2
counts_by_year[0].year	2023
counts_by_year[0].cited_by_count	2
locations_count	2
best_oa_location.id	pmh:oai:arXiv.org:2206.08408
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S4306400194
best_oa_location.source.issn
best_oa_location.source.type	repository
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l
best_oa_location.source.is_core	False
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	arXiv (Cornell University)
best_oa_location.source.host_organization	https://openalex.org/I205783295
best_oa_location.source.host_organization_name	Cornell University
best_oa_location.source.host_organization_lineage	https://openalex.org/I205783295
best_oa_location.license
best_oa_location.pdf_url	https://arxiv.org/pdf/2206.08408
best_oa_location.version	submittedVersion
best_oa_location.raw_type
best_oa_location.license_id
best_oa_location.is_accepted	False
best_oa_location.is_published	False
best_oa_location.raw_source_name
best_oa_location.landing_page_url	http://arxiv.org/abs/2206.08408
primary_location.id	pmh:oai:arXiv.org:2206.08408
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S4306400194
primary_location.source.issn
primary_location.source.type	repository
primary_location.source.is_oa	True
primary_location.source.issn_l
primary_location.source.is_core	False
primary_location.source.is_in_doaj	False
primary_location.source.display_name	arXiv (Cornell University)
primary_location.source.host_organization	https://openalex.org/I205783295
primary_location.source.host_organization_name	Cornell University
primary_location.source.host_organization_lineage	https://openalex.org/I205783295
primary_location.license
primary_location.pdf_url	https://arxiv.org/pdf/2206.08408
primary_location.version	submittedVersion
primary_location.raw_type
primary_location.license_id
primary_location.is_accepted	False
primary_location.is_published	False
primary_location.raw_source_name
primary_location.landing_page_url	http://arxiv.org/abs/2206.08408
publication_date	2022-06-16
publication_year	2022
referenced_works_count	0
abstract_inverted_index.a	25, 53, 83, 97, 116, 171
abstract_inverted_index.AR	34, 105, 124, 144
abstract_inverted_index.If	59
abstract_inverted_index.In	68, 157
abstract_inverted_index.We	18, 126
abstract_inverted_index.as	115
abstract_inverted_index.do	71
abstract_inverted_index.in	14, 88, 104, 139
abstract_inverted_index.is	47
abstract_inverted_index.of	10, 99, 102, 110, 122, 130, 142, 174
abstract_inverted_index.on	24, 96, 163, 165
abstract_inverted_index.or	49
abstract_inverted_index.to	41, 50, 70, 78, 155
abstract_inverted_index.we	73
abstract_inverted_index.Our	92
abstract_inverted_index.and	7, 80, 136, 146, 149, 170
abstract_inverted_index.are	38, 63
abstract_inverted_index.for	119, 133, 152
abstract_inverted_index.so,	60
abstract_inverted_index.the	44, 66, 75, 108, 128, 140
abstract_inverted_index.(AR)	16
abstract_inverted_index.This	0
abstract_inverted_index.been	29
abstract_inverted_index.data	23, 89, 132
abstract_inverted_index.form	106, 113
abstract_inverted_index.from	31, 85
abstract_inverted_index.have	28
abstract_inverted_index.rely	95
abstract_inverted_index.some	32
abstract_inverted_index.that	20
abstract_inverted_index.then	39
abstract_inverted_index.this	159
abstract_inverted_index.will	161
abstract_inverted_index.with	3
abstract_inverted_index.(QDF)	114
abstract_inverted_index.build	162
abstract_inverted_index.data.	67
abstract_inverted_index.deals	2
abstract_inverted_index.form.	17
abstract_inverted_index.hold.	156
abstract_inverted_index.noisy	21
abstract_inverted_index.order	69
abstract_inverted_index.paper	1, 160
abstract_inverted_index.tests	37
abstract_inverted_index.these	153
abstract_inverted_index.this,	72
abstract_inverted_index.using	65, 107
abstract_inverted_index.(QMIs)	169
abstract_inverted_index.assume	19
abstract_inverted_index.driven	90
abstract_inverted_index.employ	74
abstract_inverted_index.finite	26
abstract_inverted_index.linear	11
abstract_inverted_index.matrix	167, 172
abstract_inverted_index.notion	109
abstract_inverted_index.system	46
abstract_inverted_index.verify	51
abstract_inverted_index.analyse	42
abstract_inverted_index.context	141
abstract_inverted_index.dynamic	55
abstract_inverted_index.exists.	58
abstract_inverted_index.heavily	94
abstract_inverted_index.meaning	82
abstract_inverted_index.methods	87
abstract_inverted_index.natural	117
abstract_inverted_index.results	93, 164
abstract_inverted_index.stable,	48
abstract_inverted_index.system.	35
abstract_inverted_index.systems	13, 79, 103, 145
abstract_inverted_index.unknown	33, 45
abstract_inverted_index.version	173
abstract_inverted_index.whether	43, 52
abstract_inverted_index.Lyapunov	120
abstract_inverted_index.S-lemma.	176
abstract_inverted_index.analysis	6
abstract_inverted_index.approach	77
abstract_inverted_index.computed	64
abstract_inverted_index.concepts	129
abstract_inverted_index.control,	81
abstract_inverted_index.control.	91
abstract_inverted_index.existing	86
abstract_inverted_index.feedback	8, 56
abstract_inverted_index.obtained	30
abstract_inverted_index.systems.	125
abstract_inverted_index.addition,	158
abstract_inverted_index.departure	84
abstract_inverted_index.developed	40
abstract_inverted_index.establish	147
abstract_inverted_index.framework	118
abstract_inverted_index.functions	121
abstract_inverted_index.introduce	127
abstract_inverted_index.necessary	148
abstract_inverted_index.quadratic	111, 134, 137, 166
abstract_inverted_index.stability	5, 101, 135
abstract_inverted_index.Data-based	36
abstract_inverted_index.asymptotic	100
abstract_inverted_index.autonomous	123
abstract_inverted_index.behavioral	76
abstract_inverted_index.conditions	151
abstract_inverted_index.controller	57
abstract_inverted_index.difference	112
abstract_inverted_index.properties	154
abstract_inverted_index.sufficient	150
abstract_inverted_index.controllers	62
abstract_inverted_index.data-driven	4
abstract_inverted_index.inequalties	168
abstract_inverted_index.informative	131
abstract_inverted_index.stabilizing	54, 61
abstract_inverted_index.Yakubovich's	175
abstract_inverted_index.input-output	12, 22, 143
abstract_inverted_index.stabilization	138
abstract_inverted_index.time-interval	27
abstract_inverted_index.autoregressive	15
abstract_inverted_index.stabillization	9
abstract_inverted_index.characterization	98
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	4
citation_normalized_percentile