{"id":"https://openalex.org/W1767318876","doi":"https://doi.org/10.23919/ecc.2009.7074407","title":"Regular positive-real functions and passive networks comprising two reactive elements","display_name":"Regular positive-real functions and passive networks comprising two reactive elements","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W1767318876","doi":"https://doi.org/10.23919/ecc.2009.7074407","mag":"1767318876"},"language":"en","primary_location":{"id":"doi:10.23919/ecc.2009.7074407","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","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/A5004024242","display_name":"Jason Zheng Jiang","orcid":"https://orcid.org/0000-0002-9059-7984"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Jason Zheng Jiang","raw_affiliation_strings":["Department of Engineering, University of Cambridge, Cambridge, U.K","Department of Engineering, University of Cambridge, CB2 1PZ, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, U.K","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Department of Engineering, University of Cambridge, CB2 1PZ, U.K","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101480228","display_name":"Malcolm Smith","orcid":"https://orcid.org/0000-0002-0818-1227"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Malcolm C. Smith","raw_affiliation_strings":["Department of Engineering, University of Cambridge, Cambridge, U.K","Department of Engineering, University of Cambridge, CB2 1PZ, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, U.K","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Department of Engineering, University of Cambridge, CB2 1PZ, U.K","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004024242"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":7.6643,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.96076327,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"219","last_page":"224"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10690","display_name":"Vibration Control and Rheological Fluids","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10690","display_name":"Vibration Control and Rheological Fluids","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T13885","display_name":"Geophysics and Sensor Technology","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T11608","display_name":"Dielectric materials and actuators","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/terminal","display_name":"Terminal (telecommunication)","score":0.6811758875846863},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6487080454826355},{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.6085120439529419},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5733875036239624},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.5497541427612305},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5301607251167297},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5154791474342346},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5024962425231934},{"id":"https://openalex.org/keywords/resistive-touchscreen","display_name":"Resistive touchscreen","score":0.4969237148761749},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.45015472173690796},{"id":"https://openalex.org/keywords/network-element","display_name":"Network element","score":0.4285820722579956},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34801021218299866},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3331984877586365},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3292800784111023},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15675529837608337},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14771610498428345},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1395881175994873},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.12329408526420593},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.10841760039329529},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.0713987946510315}],"concepts":[{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.6811758875846863},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6487080454826355},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.6085120439529419},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5733875036239624},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.5497541427612305},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5301607251167297},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5154791474342346},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5024962425231934},{"id":"https://openalex.org/C6899612","wikidata":"https://www.wikidata.org/wiki/Q852911","display_name":"Resistive touchscreen","level":2,"score":0.4969237148761749},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.45015472173690796},{"id":"https://openalex.org/C129119673","wikidata":"https://www.wikidata.org/wiki/Q4418003","display_name":"Network element","level":2,"score":0.4285820722579956},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34801021218299866},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3331984877586365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3292800784111023},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15675529837608337},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14771610498428345},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1395881175994873},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.12329408526420593},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.10841760039329529},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0713987946510315},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.23919/ecc.2009.7074407","is_oa":false,"landing_page_url":"https://doi.org/10.23919/ecc.2009.7074407","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.227.6890","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.227.6890","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www-control.eng.cam.ac.uk/Homepage//papers/cued_control_1075.pdf","raw_type":"text"},{"id":"pmh:oai:generic.eprints.org:677753","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/677753/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","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":"","raw_type":"Conference or Workshop Item"},{"id":"pmh:oai:generic.eprints.org:747516","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/747516/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","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":"","raw_type":"Conference or Workshop Item"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/33af4e3a-77a0-439b-a58c-befa0ff5bdd8","is_oa":false,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/33af4e3a-77a0-439b-a58c-befa0ff5bdd8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Jiang, J Z & Smith, M 2009, Regular Positive-Real Functions and Passive Networks Comprising Two Reactive Elements. in 10th European Control Conference. pp. 219 - 224.","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W88132951","https://openalex.org/W744777716","https://openalex.org/W1484678097","https://openalex.org/W1603128821","https://openalex.org/W1965570871","https://openalex.org/W1993481038","https://openalex.org/W2010256126","https://openalex.org/W2018232674","https://openalex.org/W2020281464","https://openalex.org/W2077332404","https://openalex.org/W2090343898","https://openalex.org/W2110713385","https://openalex.org/W2111222910","https://openalex.org/W2125453397","https://openalex.org/W2142017723","https://openalex.org/W2159483605","https://openalex.org/W2167089521","https://openalex.org/W2312856063","https://openalex.org/W3006979016"],"related_works":["https://openalex.org/W3211557223","https://openalex.org/W1528816634","https://openalex.org/W2007036916","https://openalex.org/W4206528302","https://openalex.org/W872563264","https://openalex.org/W2019498998","https://openalex.org/W167670219","https://openalex.org/W2045812595","https://openalex.org/W2152656769","https://openalex.org/W2376580194"],"abstract_inverted_index":{"The":[0,100],"purpose":[1],"of":[2,10,23,32,38,80,91,98,114],"this":[3],"paper":[4],"is":[5],"to":[6,16,107],"formalise":[7],"the":[8,21,35,78,115],"concept":[9],"a":[11,30,43,96],"regular":[12],"positive-real":[13],"function":[14],"and":[15,57,87,94],"demonstrate":[17],"its":[18],"usefulness":[19],"in":[20],"classification":[22],"low-complexity":[24],"two-terminal":[25,81],"networks.":[26],"We":[27,40,75],"will":[28,41,59,76],"develop":[29],"series":[31],"lemmas":[33],"characterising":[34],"basic":[36],"properties":[37],"regularity.":[39],"give":[42],"simple":[44],"proof":[45],"that":[46,61],"all":[47],"five-element":[48],"series-parallel":[49],"networks":[50,82],"with":[51,67,83],"two":[52,65,68,84],"reactive":[53,69,85],"elements":[54,70,86,93],"are":[55,63,102],"regular,":[56],"we":[58],"show":[60],"there":[62],"only":[64],"bridge-networks":[66],"which":[71,111],"may":[72],"be":[73],"non-regular.":[74],"discuss":[77],"class":[79],"an":[88,105],"arbitrary":[89],"number":[90],"resistive":[92],"highlight":[95],"theorem":[97],"Reichert.":[99],"results":[101],"motivated":[103],"by":[104],"approach":[106],"passive":[108],"mechanical":[109],"control":[110],"makes":[112],"use":[113],"inerter":[116],"device.":[117]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
