{"id":"https://openalex.org/W2150975633","doi":"https://doi.org/10.1109/tac.2012.2199172","title":"Internally Positive Representation of a Class of Continuous Time Systems","display_name":"Internally Positive Representation of a Class of Continuous Time Systems","publication_year":2012,"publication_date":"2012-05-29","ids":{"openalex":"https://openalex.org/W2150975633","doi":"https://doi.org/10.1109/tac.2012.2199172","mag":"2150975633"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2012.2199172","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2199172","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/A5007661526","display_name":"Filippo Cacace","orcid":"https://orcid.org/0000-0003-1060-744X"},"institutions":[{"id":"https://openalex.org/I155125353","display_name":"Universit\u00e0 Campus Bio-Medico","ror":"https://ror.org/04gqx4x78","country_code":"IT","type":"education","lineage":["https://openalex.org/I155125353"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"F. Cacace","raw_affiliation_strings":["Campus Bio-Medico di Roma, Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Campus Bio-Medico di Roma, Roma, Italy","institution_ids":["https://openalex.org/I155125353"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074179530","display_name":"Lorenzo Farina","orcid":"https://orcid.org/0000-0001-8314-6029"},"institutions":[{"id":"https://openalex.org/I861853513","display_name":"Sapienza University of Rome","ror":"https://ror.org/02be6w209","country_code":"IT","type":"education","lineage":["https://openalex.org/I861853513"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"L. Farina","raw_affiliation_strings":["Dipartimento di Ingegneria Informatica, Automatica e Gestionale \u201cA. Ruberti\u201d, Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Roma, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Informatica, Automatica e Gestionale \u201cA. Ruberti\u201d, Universit\u00e0 di Roma \u201cLa Sapienza\u201d, Roma, Italy","institution_ids":["https://openalex.org/I861853513"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042421338","display_name":"Alfredo Germani","orcid":"https://orcid.org/0000-0003-4457-8800"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. Germani","raw_affiliation_strings":["Dipartimento di Ingegneria Elettrica e dell'Informazione e Matematica, Universit\u00e0 dell'Aquila, Coppito L'Aquila, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Elettrica e dell'Informazione e Matematica, Universit\u00e0 dell'Aquila, Coppito L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031215647","display_name":"Costanzo Manes","orcid":"https://orcid.org/0000-0002-0771-7413"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"C. Manes","raw_affiliation_strings":["Dipartimento di Ingegneria Elettrica e dell'Informazione e Matematica, Universit\u00e0 dell'Aquila, Coppito L'Aquila, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria Elettrica e dell'Informazione e Matematica, Universit\u00e0 dell'Aquila, Coppito L'Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.3686,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.92825466,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"57","issue":"12","first_page":"3158","last_page":"3163"},"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":0.9988999962806702,"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":0.9988999962806702,"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/T10791","display_name":"Advanced Control Systems Optimization","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"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9975000023841858,"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/representation","display_name":"Representation (politics)","score":0.6972935199737549},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6400781869888306},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.612652599811554},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.6104298830032349},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5532886981964111},{"id":"https://openalex.org/keywords/positive-systems","display_name":"Positive systems","score":0.5430892705917358},{"id":"https://openalex.org/keywords/state-space-representation","display_name":"State-space representation","score":0.5369086265563965},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.475063294172287},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47442784905433655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4147361218929291},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4128364324569702},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.38165542483329773},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.30447590351104736},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2631361186504364},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1963631808757782},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12214502692222595},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10580906271934509},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08985385298728943},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08324676752090454}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6972935199737549},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6400781869888306},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.612652599811554},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6104298830032349},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5532886981964111},{"id":"https://openalex.org/C2778299942","wikidata":"https://www.wikidata.org/wiki/Q7233296","display_name":"Positive systems","level":3,"score":0.5430892705917358},{"id":"https://openalex.org/C52918065","wikidata":"https://www.wikidata.org/wiki/Q230945","display_name":"State-space representation","level":2,"score":0.5369086265563965},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.475063294172287},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47442784905433655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4147361218929291},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4128364324569702},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.38165542483329773},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.30447590351104736},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2631361186504364},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1963631808757782},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12214502692222595},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10580906271934509},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08985385298728943},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08324676752090454},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2012.2199172","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2012.2199172","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:iris.uniroma1.it:11573/503489","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/503489","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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/article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W239577987","https://openalex.org/W615876487","https://openalex.org/W624020015","https://openalex.org/W1487444668","https://openalex.org/W1503543307","https://openalex.org/W1534430411","https://openalex.org/W1604304367","https://openalex.org/W1975456395","https://openalex.org/W1998121032","https://openalex.org/W2003546335","https://openalex.org/W2021317570","https://openalex.org/W2023675033","https://openalex.org/W2043756932","https://openalex.org/W2044158200","https://openalex.org/W2069970818","https://openalex.org/W2101037112","https://openalex.org/W2104426166","https://openalex.org/W2119052316","https://openalex.org/W2121851846","https://openalex.org/W2123012644","https://openalex.org/W2124851085","https://openalex.org/W2128978199","https://openalex.org/W2133790614","https://openalex.org/W2136491310","https://openalex.org/W2152044676","https://openalex.org/W2170831233","https://openalex.org/W2307072262","https://openalex.org/W2987025408","https://openalex.org/W3159340471","https://openalex.org/W4301621763"],"related_works":["https://openalex.org/W2779688595","https://openalex.org/W2579634771","https://openalex.org/W1560664277","https://openalex.org/W2022276156","https://openalex.org/W3013517953","https://openalex.org/W2756401664","https://openalex.org/W2338837772","https://openalex.org/W1486719010","https://openalex.org/W1496710458","https://openalex.org/W1538101308"],"abstract_inverted_index":{"The":[0],"problem":[1,59],"of":[2,9,16,22,60,79],"realizing":[3],"arbitrary":[4,18,51],"transfer":[5],"functions":[6],"as":[7],"combinations":[8],"positive":[10,39],"filters,":[11],"or,":[12],"more":[13],"in":[14,31],"general,":[15],"representing":[17],"systems":[19],"by":[20],"means":[21],"Internally":[23],"Positive":[24],"Representations":[25],"(IPRs),":[26],"has":[27],"been":[28],"widely":[29],"investigated":[30],"the":[32,58,61],"discrete-time":[33],"framework.":[34],"An":[35],"IPR":[36,62],"is":[37],"a":[38,69,76],"state-space":[40],"representation,":[41],"endowed":[42],"with":[43],"input,":[44],"state":[45],"and":[46,67],"output":[47],"transformations,":[48],"that":[49,71],"realizes":[50],"input-state-output":[52],"dynamics.":[53],"This":[54],"technical":[55],"note":[56],"investigates":[57],"construction":[63],"for":[64,75],"continuous-time":[65],"systems,":[66],"proposes":[68],"technique":[70],"provides":[72],"stable":[73],"IPRs":[74],"particular":[77],"class":[78],"systems.":[80]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}