{"id":"https://openalex.org/W3119732641","doi":"https://doi.org/10.1109/tac.2022.3222755","title":"Generalized Necessary and Sufficient Robust Boundedness Results for Feedback Systems","display_name":"Generalized Necessary and Sufficient Robust Boundedness Results for Feedback Systems","publication_year":2022,"publication_date":"2022-11-16","ids":{"openalex":"https://openalex.org/W3119732641","doi":"https://doi.org/10.1109/tac.2022.3222755","mag":"3119732641"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2022.3222755","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3222755","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":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070559792","display_name":"Saman Cyrus","orcid":"https://orcid.org/0000-0001-6432-5603"},"institutions":[{"id":"https://openalex.org/I142262071","display_name":"Johnson Controls (United States)","ror":"https://ror.org/02ky6c719","country_code":"US","type":"company","lineage":["https://openalex.org/I142262071"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Saman Cyrus","raw_affiliation_strings":["Johnson Controls International plc, Milwaukee, WI, USA"],"affiliations":[{"raw_affiliation_string":"Johnson Controls International plc, Milwaukee, WI, USA","institution_ids":["https://openalex.org/I142262071"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016674253","display_name":"Laurent Lessard","orcid":"https://orcid.org/0000-0001-5389-9361"},"institutions":[{"id":"https://openalex.org/I12912129","display_name":"Northeastern University","ror":"https://ror.org/04t5xt781","country_code":"US","type":"education","lineage":["https://openalex.org/I12912129"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Laurent Lessard","raw_affiliation_strings":["Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Industrial Engineering, Northeastern University, Boston, MA, USA","institution_ids":["https://openalex.org/I12912129"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070559792"],"corresponding_institution_ids":["https://openalex.org/I142262071"],"apc_list":null,"apc_paid":null,"fwci":0.241,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.47209724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"68","issue":"9","first_page":"5693","last_page":"5698"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998999834060669,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9998999834060669,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9980000257492065,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9977999925613403,"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/mathematics","display_name":"Mathematics","score":0.7057557106018066},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6883847713470459},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6689262986183167},{"id":"https://openalex.org/keywords/passivity","display_name":"Passivity","score":0.6488462686538696},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6168720126152039},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5766900181770325},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5665497779846191},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.4613179862499237},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.42512527108192444},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.41706767678260803},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37335312366485596},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23247367143630981},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20866304636001587},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.15143728256225586},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06450125575065613}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7057557106018066},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6883847713470459},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6689262986183167},{"id":"https://openalex.org/C2778809601","wikidata":"https://www.wikidata.org/wiki/Q1045736","display_name":"Passivity","level":2,"score":0.6488462686538696},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6168720126152039},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5766900181770325},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5665497779846191},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4613179862499237},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.42512527108192444},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.41706767678260803},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37335312366485596},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23247367143630981},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20866304636001587},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.15143728256225586},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06450125575065613},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2022.3222755","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2022.3222755","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2120274856","display_name":null,"funder_award_id":"2136317","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"},{"id":"https://openalex.org/G2900884576","display_name":null,"funder_award_id":"1710892","funder_id":"https://openalex.org/F4320335353","funder_display_name":"National Science Foundation of Sri Lanka"}],"funders":[{"id":"https://openalex.org/F4320335353","display_name":"National Science Foundation of Sri Lanka","ror":"https://ror.org/010xaa060"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W53671252","https://openalex.org/W139544357","https://openalex.org/W1747091136","https://openalex.org/W1977819874","https://openalex.org/W2003658506","https://openalex.org/W2004470537","https://openalex.org/W2009253901","https://openalex.org/W2016895812","https://openalex.org/W2022806724","https://openalex.org/W2023285936","https://openalex.org/W2039294728","https://openalex.org/W2041824508","https://openalex.org/W2048611080","https://openalex.org/W2057404142","https://openalex.org/W2060405197","https://openalex.org/W2064826466","https://openalex.org/W2065313971","https://openalex.org/W2076467525","https://openalex.org/W2077418568","https://openalex.org/W2097944741","https://openalex.org/W2114224937","https://openalex.org/W2144355672","https://openalex.org/W2160188132","https://openalex.org/W2213054940","https://openalex.org/W2408541880","https://openalex.org/W2472323618","https://openalex.org/W2565271410","https://openalex.org/W2609364098","https://openalex.org/W2703603952","https://openalex.org/W2885943011","https://openalex.org/W3010893608","https://openalex.org/W3034208633","https://openalex.org/W3185021909","https://openalex.org/W3195133498","https://openalex.org/W4210903911","https://openalex.org/W4213068077","https://openalex.org/W4302585512","https://openalex.org/W6804979335"],"related_works":["https://openalex.org/W4250831671","https://openalex.org/W2230606337","https://openalex.org/W2089869689","https://openalex.org/W4388681848","https://openalex.org/W2078952919","https://openalex.org/W2945666329","https://openalex.org/W2617651062","https://openalex.org/W2330535098","https://openalex.org/W2377513064","https://openalex.org/W2952544653"],"abstract_inverted_index":{"Classical":[0],"sufficient":[1,78],"conditions":[2,79],"for":[3,36,80],"ensuring":[4],"the":[5,50,77,103],"robust":[6,81],"stability":[7,82],"of":[8,33,71],"a":[9,15,30,69],"dynamical":[10,56,105],"system":[11],"in":[12,102],"feedback":[13],"with":[14],"nonlinearity":[16],"include":[17],"passivity,":[18],"small":[19],"gain,":[20],"circle,":[21],"and":[22,46,86,94],"conicity":[23],"theorems.":[24],"In":[25],"this":[26],"article,":[27],"we":[28],"present":[29],"generalized":[31],"version":[32],"these":[34],"results":[35],"arbitrary":[37],"semi-inner":[38],"product":[39],"spaces.":[40],"Our":[41,73],"result":[42,74],"is":[43],"purely":[44],"algebraic,":[45],"holds":[47],"even":[48],"when":[49,76],"conventional":[51,104],"discrete":[52],"or":[53],"continuous-time":[54],"causal":[55],"systems":[57,106],"are":[58,83,96],"replaced":[59],"by":[60],"general":[61],"nonlinear":[62],"relations,":[63],"where":[64],"there":[65],"need":[66],"not":[67],"exist":[68],"notion":[70],"time.":[72],"clarifies":[75],"also":[84],"necessary,":[85],"explains":[87],"why":[88],"stronger":[89],"assumptions,":[90],"such":[91],"as":[92],"linearity":[93],"time-invariance":[95],"typically":[97],"needed":[98],"to":[99],"prove":[100],"necessity":[101],"setting.":[107]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
