{"id":"https://openalex.org/W2116383972","doi":"https://doi.org/10.1109/cdc.2007.4434762","title":"A composite circle criterion","display_name":"A composite circle criterion","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2116383972","doi":"https://doi.org/10.1109/cdc.2007.4434762","mag":"2116383972"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434762","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-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/A5058663513","display_name":"Donatello Materassi","orcid":"https://orcid.org/0000-0002-4736-8377"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"D. Materassi","raw_affiliation_strings":["Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, Italy","Univ. di Firenze, Florence"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Univ. di Firenze, Florence","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078497169","display_name":"Giacomo Innocenti","orcid":"https://orcid.org/0000-0002-2110-826X"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Innocenti","raw_affiliation_strings":["Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, Italy","Univ. di Firenze, Florence"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Univ. di Firenze, Florence","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088817416","display_name":"R. Genesio","orcid":null},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"R. Genesio","raw_affiliation_strings":["Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, Italy","Univ. di Firenze, Florence"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Univ. di Firenze, Florence","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056527139","display_name":"Michele Basso","orcid":"https://orcid.org/0000-0002-1526-7715"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"M. Basso","raw_affiliation_strings":["Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, Italy","Univ. di Firenze, Florence"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Sistemi e Informatica, Universit\u00e0 di Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Univ. di Firenze, Florence","institution_ids":["https://openalex.org/I45084792"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058663513"],"corresponding_institution_ids":["https://openalex.org/I45084792"],"apc_list":null,"apc_paid":null,"fwci":0.8709,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.81166798,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"4459","last_page":"4464"},"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":0.9991000294685364,"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":0.9991000294685364,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9991000294685364,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9973000288009644,"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/circle-criterion","display_name":"Circle criterion","score":0.7810258865356445},{"id":"https://openalex.org/keywords/stability-criterion","display_name":"Stability criterion","score":0.635979413986206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5960798263549805},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5882722735404968},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5547324419021606},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5323401093482971},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5189616084098816},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4135971963405609},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4039117097854614},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.34291785955429077},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28861570358276367},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.11114412546157837},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08606967329978943},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06521427631378174},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06350913643836975},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0599556565284729}],"concepts":[{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.7810258865356445},{"id":"https://openalex.org/C2778925954","wikidata":"https://www.wikidata.org/wiki/Q16883749","display_name":"Stability criterion","level":3,"score":0.635979413986206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5960798263549805},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5882722735404968},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5547324419021606},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5323401093482971},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5189616084098816},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4135971963405609},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4039117097854614},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.34291785955429077},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28861570358276367},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.11114412546157837},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08606967329978943},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06521427631378174},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06350913643836975},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0599556565284729},{"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/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":2,"locations":[{"id":"doi:10.1109/cdc.2007.4434762","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:flore.unifi.it:2158/351955","is_oa":false,"landing_page_url":"http://hdl.handle.net/2158/351955","pdf_url":null,"source":{"id":"https://openalex.org/S4306402033","display_name":"Florence Research (University of Florence)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45084792","host_organization_name":"University of Florence","host_organization_lineage":["https://openalex.org/I45084792"],"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":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W649537050","https://openalex.org/W658292533","https://openalex.org/W1588998206","https://openalex.org/W1972904014","https://openalex.org/W2085582194","https://openalex.org/W2097666642","https://openalex.org/W2097944741","https://openalex.org/W2115512254","https://openalex.org/W4302585512"],"related_works":["https://openalex.org/W2130216035","https://openalex.org/W2043892938","https://openalex.org/W2040080498","https://openalex.org/W1970104640","https://openalex.org/W166939899","https://openalex.org/W1599159555","https://openalex.org/W1976068816","https://openalex.org/W2161014041","https://openalex.org/W2743355309","https://openalex.org/W2037433734"],"abstract_inverted_index":{"The":[0,16,52],"paper":[1],"deals":[2],"with":[3],"the":[4,8,29,32,48,66,84],"classical":[5],"problem":[6],"of":[7,37,80],"absolute":[9,85],"stability":[10,86],"in":[11,31,56],"a":[12,35,78],"SISO":[13],"Lur'e":[14],"system.":[15,51],"circle":[17,67],"criterion":[18,68],"is":[19,39,54,74],"applied":[20,71],"to":[21,76],"different":[22],"overlapping":[23],"sectors":[24],"and":[25],"then,":[26],"for":[27],"all":[28],"functions":[30],"'union":[33],"sector',":[34],"set":[36],"constraints":[38],"defined,":[40],"so":[41],"that":[42,55,60],"they":[43],"make":[44],"globally":[45],"asymptotically":[46],"stable":[47],"closed":[49],"loop":[50],"conclusion":[53],"every":[57],"sector,":[58],"such":[59],"can":[61,69],"be":[62,70],"covered":[63],"by":[64],"subsectors":[65],"to,":[72],"it":[73],"possible":[75],"define":[77],"class":[79],"nonlinearities,":[81],"which":[82],"solve":[83],"problem.":[87]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}