{"id":"https://openalex.org/W3030918962","doi":"https://doi.org/10.1109/tac.2020.3047577","title":"From Noisy Data to Feedback Controllers: Nonconservative Design via a Matrix S-Lemma","display_name":"From Noisy Data to Feedback Controllers: Nonconservative Design via a Matrix S-Lemma","publication_year":2020,"publication_date":"2020-12-25","ids":{"openalex":"https://openalex.org/W3030918962","doi":"https://doi.org/10.1109/tac.2020.3047577","mag":"3030918962"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2020.3047577","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3047577","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/c0078f95-01c3-4181-84f2-223f65297fdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087952337","display_name":"Henk J. van Waarde","orcid":"https://orcid.org/0000-0002-2561-2682"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Henk J. van Waarde","raw_affiliation_strings":["Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence and the Engineering and Technology Institute Groningen, University of Groningen, Groningen, The Netherlands","[Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, Groningen, Netherlands, 9747 AG (e-mail: h.j.van.waarde@rug.nl)]"],"affiliations":[{"raw_affiliation_string":"Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence and the Engineering and Technology Institute Groningen, University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"[Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, Groningen, Netherlands, 9747 AG (e-mail: h.j.van.waarde@rug.nl)]","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000993019","display_name":"M. Kanat Camlibel","orcid":"https://orcid.org/0000-0002-2407-8166"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"M. Kanat Camlibel","raw_affiliation_strings":["Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence, University of Groningen, Groningen, The Netherlands","[Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, NL, Netherlands, 9700 AK (e-mail: m.k.camlibel@rug.nl)]"],"affiliations":[{"raw_affiliation_string":"Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence, University of Groningen, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"[Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen, Groningen, NL, Netherlands, 9700 AK (e-mail: m.k.camlibel@rug.nl)]","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040511603","display_name":"Mehran Mesbahi","orcid":"https://orcid.org/0000-0001-6972-6588"},"institutions":[{"id":"https://openalex.org/I46020346","display_name":"American Institute of Aeronautics and Astronautics","ror":"https://ror.org/00a1rzv11","country_code":"US","type":"other","lineage":["https://openalex.org/I46020346"]},{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mehran Mesbahi","raw_affiliation_strings":["William E. Boeing Department of Aeronautics and Astronautics, University of Washington, Seattle, WA, USA","[Department of Aeronautics and Astronautics, University of Washington, Seattle, WA United States of America 98195-2400 (e-mail: mesbahi@aa.washington.edu)]"],"affiliations":[{"raw_affiliation_string":"William E. Boeing Department of Aeronautics and Astronautics, University of Washington, Seattle, WA, USA","institution_ids":["https://openalex.org/I46020346","https://openalex.org/I201448701"]},{"raw_affiliation_string":"[Department of Aeronautics and Astronautics, University of Washington, Seattle, WA United States of America 98195-2400 (e-mail: mesbahi@aa.washington.edu)]","institution_ids":["https://openalex.org/I46020346","https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087952337"],"corresponding_institution_ids":["https://openalex.org/I169381384"],"apc_list":null,"apc_paid":null,"fwci":6.0832,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.96880407,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"67","issue":"1","first_page":"162","last_page":"175"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.8585801720619202},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5820472836494446},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5706928372383118},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.51567542552948},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5118138194084167},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.461121529340744},{"id":"https://openalex.org/keywords/state-transition-matrix","display_name":"State-transition matrix","score":0.4224622845649719},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4193541705608368},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.414857417345047},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3843514621257782},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.377929151058197},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3444479703903198},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3399975299835205},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.2505952715873718},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13001635670661926},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11770856380462646},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.086387038230896}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.8585801720619202},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5820472836494446},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5706928372383118},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.51567542552948},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5118138194084167},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.461121529340744},{"id":"https://openalex.org/C22629506","wikidata":"https://www.wikidata.org/wiki/Q7602993","display_name":"State-transition matrix","level":4,"score":0.4224622845649719},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4193541705608368},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.414857417345047},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3843514621257782},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.377929151058197},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3444479703903198},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3399975299835205},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.2505952715873718},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13001635670661926},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11770856380462646},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.086387038230896},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tac.2020.3047577","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2020.3047577","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:pure.rug.nl:publications/c0078f95-01c3-4181-84f2-223f65297fdf","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/c0078f95-01c3-4181-84f2-223f65297fdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"van Waarde, H, Camlibel, K & Mesbahi, M 2022, 'From Noisy Data to Feedback Controllers : Nonconservative Design via a Matrix S-Lemma', IEEE Transactions on Automatic Control, vol. 67, no. 1, pp. 162-175. https://doi.org/10.1109/TAC.2020.3047577","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:arXiv.org:2006.00870","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.00870","pdf_url":"https://arxiv.org/pdf/2006.00870","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"mag:3030918962","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2006.00870","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:pure.rug.nl:openaire/c0078f95-01c3-4181-84f2-223f65297fdf","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/c0078f95-01c3-4181-84f2-223f65297fdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"van Waarde, H, Camlibel, K & Mesbahi, M 2022, 'From Noisy Data to Feedback Controllers : Nonconservative Design via a Matrix S-Lemma', IEEE Transactions on Automatic Control, vol. 67, no. 1, pp. 162-175. https://doi.org/10.1109/TAC.2020.3047577","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"doi:10.48550/arxiv.2006.00870","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2006.00870","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:publications/c0078f95-01c3-4181-84f2-223f65297fdf","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/c0078f95-01c3-4181-84f2-223f65297fdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"van Waarde, H, Camlibel, K & Mesbahi, M 2022, 'From Noisy Data to Feedback Controllers : Nonconservative Design via a Matrix S-Lemma', IEEE Transactions on Automatic Control, vol. 67, no. 1, pp. 162-175. https://doi.org/10.1109/TAC.2020.3047577","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":70,"referenced_works":["https://openalex.org/W1531324864","https://openalex.org/W1891899051","https://openalex.org/W1973485529","https://openalex.org/W1983313164","https://openalex.org/W2019016008","https://openalex.org/W2019375098","https://openalex.org/W2022070682","https://openalex.org/W2026578200","https://openalex.org/W2027287418","https://openalex.org/W2038436774","https://openalex.org/W2040871222","https://openalex.org/W2046473141","https://openalex.org/W2057000602","https://openalex.org/W2082483338","https://openalex.org/W2087562315","https://openalex.org/W2097765106","https://openalex.org/W2108489060","https://openalex.org/W2121832485","https://openalex.org/W2125023505","https://openalex.org/W2125087034","https://openalex.org/W2127863965","https://openalex.org/W2140214428","https://openalex.org/W2143973155","https://openalex.org/W2151083101","https://openalex.org/W2155002476","https://openalex.org/W2395955964","https://openalex.org/W2463908258","https://openalex.org/W2536620281","https://openalex.org/W2783663017","https://openalex.org/W2854640194","https://openalex.org/W2900691863","https://openalex.org/W2912498790","https://openalex.org/W2913981879","https://openalex.org/W2914517522","https://openalex.org/W2943040161","https://openalex.org/W2951568559","https://openalex.org/W2966348706","https://openalex.org/W2967875632","https://openalex.org/W2970112030","https://openalex.org/W2972609400","https://openalex.org/W2972940109","https://openalex.org/W2979207987","https://openalex.org/W2992833799","https://openalex.org/W2995046416","https://openalex.org/W2995764727","https://openalex.org/W2999535065","https://openalex.org/W3002782398","https://openalex.org/W3011576172","https://openalex.org/W3012628720","https://openalex.org/W3012986867","https://openalex.org/W3014358063","https://openalex.org/W3014984151","https://openalex.org/W3016165507","https://openalex.org/W3018949655","https://openalex.org/W3021578864","https://openalex.org/W3024869475","https://openalex.org/W3028696127","https://openalex.org/W3029097646","https://openalex.org/W3034208633","https://openalex.org/W3090527688","https://openalex.org/W3100957396","https://openalex.org/W3118559044","https://openalex.org/W3119473003","https://openalex.org/W3137642493","https://openalex.org/W3154828760","https://openalex.org/W3210839039","https://openalex.org/W6678518843","https://openalex.org/W6763205511","https://openalex.org/W6775650639","https://openalex.org/W6804979335"],"related_works":["https://openalex.org/W2999535065","https://openalex.org/W2995764727","https://openalex.org/W3147332159","https://openalex.org/W3128867293","https://openalex.org/W3005291846","https://openalex.org/W3000390327","https://openalex.org/W2002649890","https://openalex.org/W3100135013","https://openalex.org/W3109481375","https://openalex.org/W2742017862","https://openalex.org/W2809991557","https://openalex.org/W147788203","https://openalex.org/W1882739989","https://openalex.org/W3102865626","https://openalex.org/W2528841284","https://openalex.org/W2594292941","https://openalex.org/W3119773585","https://openalex.org/W2047772409","https://openalex.org/W312310262","https://openalex.org/W3158925411"],"abstract_inverted_index":{"In":[0,67,99],"this":[1,38,48],"article,":[2],"we":[3,59,69],"propose":[4],"a":[5,29],"new":[6,30],"method":[7],"to":[8,64,101],"obtain":[9],"feedback":[10],"controllers":[11],"of":[12,25,47,52,94,106,112,116],"an":[13],"unknown":[14],"dynamical":[15],"system":[16],"directly":[17],"from":[18,125],"noisy":[19],"input/state":[20],"data.":[21],"The":[22],"key":[23],"ingredient":[24],"our":[26,107],"design":[27,73,124],"is":[28],"matrix":[31,97],"S-lemma":[32],"that":[33],"will":[34,60,70],"be":[35],"proven":[36],"in":[37,54,92],"article.":[39],"We":[40],"provide":[41],"both":[42],"strict":[43],"and":[44,83],"nonstrict":[45],"versions":[46],"S-lemma,":[49],"which":[50],"are":[51,110],"interest":[53],"their":[55],"own":[56],"right.":[57],"Thereafter,":[58],"apply":[61],"these":[62],"results":[63],"data-driven":[65],"control.":[66],"particular,":[68],"derive":[71],"nonconservative":[72],"methods":[74],"for":[75],"quadratic":[76],"stabilization,":[77],"<inline-formula":[78,84],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[79,85],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[80,86],"notation=\"LaTeX\">$\\mathcal":[81,87],"{H}_2$</tex-math></inline-formula>":[82],"{H}_{\\infty":[88],"}$</tex-math></inline-formula>":[89],"control,":[90],"all":[91],"terms":[93],"data-based":[95],"linear":[96],"inequalities.":[98],"contrast":[100],"previous":[102],"work,":[103],"the":[104,113,117],"dimensions":[105],"decision":[108],"variables":[109],"independent":[111],"time":[114],"horizon":[115],"experiment.":[118],"Our":[119],"approach,":[120],"thus,":[121],"enables":[122],"control":[123],"large":[126],"datasets.":[127]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":3}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}