{"id":"https://openalex.org/W2892292196","doi":"https://doi.org/10.1109/cdc40024.2019.9029605","title":"Unified Necessary and Sufficient Conditions for the Robust Stability of Interconnected Sector-Bounded Systems","display_name":"Unified Necessary and Sufficient Conditions for the Robust Stability of Interconnected Sector-Bounded Systems","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W2892292196","doi":"https://doi.org/10.1109/cdc40024.2019.9029605","mag":"2892292196"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029605","doi":"https://doi.org/10.1109/cdc40024.2019.9029605","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029605","pdf_url":null,"source":{"id":"https://openalex.org/S4210221977","display_name":"IEEE Conference on Decision and Control (CDC)","issn_l":"0191-2216","issn":["0191-2216"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1809.08742","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070559792","display_name":"Saman Cyrus","orcid":"https://orcid.org/0000-0001-6432-5603","observed_orcids":["https://orcid.org/0000-0001-6432-5603"]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Saman Cyrus","raw_affiliation_strings":["Department of Electrical and Computer Engineering and with the Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI","University of Wisconsin-Madison, #TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and with the Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"]},{"raw_affiliation_string":"University of Wisconsin-Madison, #TAB#","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016674253","display_name":"Laurent Lessard","orcid":"https://orcid.org/0000-0001-5389-9361","observed_orcids":["https://orcid.org/0000-0001-5389-9361"]},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]},{"id":"https://openalex.org/I2802999273","display_name":"Wisconsin Institutes for Discovery","ror":"https://ror.org/05gbven85","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I2802999273"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Laurent Lessard","raw_affiliation_strings":["Department of Electrical and Computer Engineering and with the Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI","University of Wisconsin-Madison, #TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and with the Wisconsin Institute for Discovery, University of Wisconsin-Madison, Madison, WI","institution_ids":["https://openalex.org/I135310074","https://openalex.org/I2802999273"]},{"raw_affiliation_string":"University of Wisconsin-Madison, #TAB#","institution_ids":["https://openalex.org/I135310074"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3521,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.39285854,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"8","issue":null,"first_page":"7690","last_page":"7695"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.7886000275611877,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.7886000275611877,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.19130000472068787,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.006200000178068876,"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/robust-stability","display_name":"robust stability","score":1.0},{"id":"https://openalex.org/keywords/sector-bounded-nonlinearities","display_name":"sector-bounded nonlinearities","score":0.9440000057220459},{"id":"https://openalex.org/keywords/interconnected-systems","display_name":"interconnected systems","score":0.8920000195503235},{"id":"https://openalex.org/keywords/semi-inner-product-spaces","display_name":"semi-inner product spaces","score":0.8399999737739563},{"id":"https://openalex.org/keywords/small-gain-theorem","display_name":"small gain theorem","score":0.9100000262260437},{"id":"https://openalex.org/keywords/circle-criterion","display_name":"circle criterion","score":0.8289999961853027},{"id":"https://openalex.org/keywords/passivity-theorem","display_name":"passivity theorem","score":0.8399999737739563},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"exponential stability","score":0.9350000023841858},{"id":"https://openalex.org/keywords/feedback-systems","display_name":"feedback systems","score":0.800000011920929}],"concepts":[{"id":"https://openalex.org/C2780767217","wikidata":"https://www.wikidata.org/wiki/Q5532421","display_name":"Generality","level":2,"score":0.7621109485626221},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.75306236743927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6752796173095703},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6435201168060303},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6303071975708008},{"id":"https://openalex.org/C2778809601","wikidata":"https://www.wikidata.org/wiki/Q1045736","display_name":"Passivity","level":2,"score":0.6136099100112915},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5825204849243164},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5024561882019043},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.4911911189556122},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.46048176288604736},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4401637315750122},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4398888051509857},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.41691580414772034},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3210453689098358},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.217149555683136},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2041776180267334},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09822449088096619},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.09003305435180664},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.07669603824615479},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0553227961063385},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029605","doi":"https://doi.org/10.1109/cdc40024.2019.9029605","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029605","pdf_url":null,"source":{"id":"https://openalex.org/S4210221977","display_name":"IEEE Conference on Decision and Control (CDC)","issn_l":"0191-2216","issn":["0191-2216"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1809.08742","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1809.08742","pdf_url":"https://arxiv.org/pdf/1809.08742","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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:2892292196","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1809.08742.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.1809.08742","doi":"https://doi.org/10.48550/arxiv.1809.08742","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1809.08742","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1809.08742","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1809.08742","pdf_url":"https://arxiv.org/pdf/1809.08742","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2892292196.pdf","grobid_xml":"https://content.openalex.org/works/W2892292196.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W53671252","https://openalex.org/W1603586556","https://openalex.org/W1972904014","https://openalex.org/W1974357213","https://openalex.org/W1977819874","https://openalex.org/W2002357820","https://openalex.org/W2004470537","https://openalex.org/W2009253901","https://openalex.org/W2022806724","https://openalex.org/W2023285936","https://openalex.org/W2041824508","https://openalex.org/W2057404142","https://openalex.org/W2060405197","https://openalex.org/W2064826466","https://openalex.org/W2065313971","https://openalex.org/W2076467525","https://openalex.org/W2097460613","https://openalex.org/W2097944741","https://openalex.org/W2144355672","https://openalex.org/W2160188132","https://openalex.org/W2172672885","https://openalex.org/W2300435054","https://openalex.org/W2342631389","https://openalex.org/W2472323618","https://openalex.org/W2565271410","https://openalex.org/W2623751468","https://openalex.org/W2765941716","https://openalex.org/W2885943011","https://openalex.org/W3195133498","https://openalex.org/W4235584858","https://openalex.org/W4238939587","https://openalex.org/W4253020970","https://openalex.org/W4302585512"],"related_works":["https://openalex.org/W3119732641","https://openalex.org/W1497735166","https://openalex.org/W1845749721","https://openalex.org/W2169206057","https://openalex.org/W2000945045","https://openalex.org/W2565271410","https://openalex.org/W1983329158","https://openalex.org/W1518651761","https://openalex.org/W2155231049","https://openalex.org/W2101450360"],"abstract_inverted_index":{"Classical":[0],"conditions":[1],"for":[2,98,106],"ensuring":[3],"the":[4,76,86],"robust":[5],"stability":[6,32],"of":[7,38,62,75],"a":[8,14,30,42,52,60,92],"linear":[9],"system":[10],"in":[11,36,59,103],"feedback":[12],"with":[13],"sector-bounded":[15],"nonlinearity":[16],"include":[17],"small":[18],"gain,":[19],"circle,":[20],"passivity,":[21],"and":[22,72,95],"conicity":[23],"theorems.":[24],"In":[25],"this":[26],"work,":[27],"we":[28,65,81],"present":[29],"similar":[31],"condition,":[33],"but":[34],"expressed":[35],"terms":[37],"relations":[39],"defined":[40],"on":[41],"general":[43],"semi-inner":[44,87],"product":[45,88],"space.":[46],"This":[47],"increased":[48],"generality":[49],"leads":[50,90],"to":[51,68,91],"clean":[53],"result":[54],"that":[55,83],"can":[56],"be":[57],"specialized":[58],"variety":[61],"ways.":[63],"First,":[64],"show":[66,82],"how":[67],"recover":[69],"both":[70],"sufficient":[71,96,105],"necessary-and-sufficient":[73],"versions":[74],"afore-mentioned":[77],"classical":[78],"results.":[79],"Second,":[80],"suitably":[84],"choosing":[85],"space":[89],"new":[93],"necessary":[94],"condition":[97],"weighted":[99],"stability,":[100],"which":[101],"is":[102],"turn":[104],"exponential":[107],"stability.":[108]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2018-09-27T00:00:00"}