{"id":"https://openalex.org/W1975663248","doi":"https://doi.org/10.1093/imamci/dnt040","title":"Characterization of strictly positive real multivariable systems","display_name":"Characterization of strictly positive real multivariable systems","publication_year":2013,"publication_date":"2013-12-03","ids":{"openalex":"https://openalex.org/W1975663248","doi":"https://doi.org/10.1093/imamci/dnt040","mag":"1975663248"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnt040","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnt040","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5021636076","display_name":"Mojtaba Hakimi-Moghaddam","orcid":"https://orcid.org/0000-0002-2900-6831"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. Hakimi-Moghaddam","raw_affiliation_strings":["Department of Electrical Engineering, Quchan University of Advanced Technologies Engineering, Quchan, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Quchan University of Advanced Technologies Engineering, Quchan, Iran","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052551953","display_name":"Hamid Khaloozadeh","orcid":"https://orcid.org/0000-0002-6948-8898"},"institutions":[{"id":"https://openalex.org/I80543232","display_name":"K.N.Toosi University of Technology","ror":"https://ror.org/0433abe34","country_code":"IR","type":"education","lineage":["https://openalex.org/I80543232"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"H. Khaloozadeh","raw_affiliation_strings":["Department of Systems and Control, Faculty of Electrical and Computer Engineering, K. N. Toosi University of Technology, Tehran, Iran, h_khaloozadeh@kntu.ac.ir"],"affiliations":[{"raw_affiliation_string":"Department of Systems and Control, Faculty of Electrical and Computer Engineering, K. N. Toosi University of Technology, Tehran, Iran, h_khaloozadeh@kntu.ac.ir","institution_ids":["https://openalex.org/I80543232"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021636076"],"corresponding_institution_ids":[],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.3625,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.61207295,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"2","first_page":"277","last_page":"289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9914000034332275,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"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":0.9729999899864197,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9275000095367432,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.875175416469574},{"id":"https://openalex.org/keywords/laurent-series","display_name":"Laurent series","score":0.7405321598052979},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.6471453905105591},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6090728044509888},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5829986333847046},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.5799999237060547},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5751867890357971},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.5245537757873535},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48594963550567627},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48513063788414},{"id":"https://openalex.org/keywords/statement","display_name":"Statement (logic)","score":0.4682019352912903},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40703460574150085},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.23316848278045654},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19777122139930725}],"concepts":[{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.875175416469574},{"id":"https://openalex.org/C184311908","wikidata":"https://www.wikidata.org/wiki/Q425432","display_name":"Laurent series","level":2,"score":0.7405321598052979},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6471453905105591},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6090728044509888},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5829986333847046},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.5799999237060547},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5751867890357971},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.5245537757873535},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48594963550567627},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48513063788414},{"id":"https://openalex.org/C2777026412","wikidata":"https://www.wikidata.org/wiki/Q2684591","display_name":"Statement (logic)","level":2,"score":0.4682019352912903},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40703460574150085},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.23316848278045654},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19777122139930725},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnt040","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnt040","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1576377477","https://openalex.org/W2721687755","https://openalex.org/W2224575301","https://openalex.org/W418212511","https://openalex.org/W2388146630","https://openalex.org/W2086932047","https://openalex.org/W2099048101","https://openalex.org/W2626948710","https://openalex.org/W2117234707","https://openalex.org/W2198312865"],"abstract_inverted_index":{"In":[0,82,101],"the":[1,9,33,40,49,64,70,73,78,139],"literature":[2],"are":[3,28],"given":[4],"several":[5,148],"equivalent":[6,26],"conditions":[7,27,118],"for":[8,90,119],"strict":[10,36],"positive":[11,37,93],"realness":[12],"property":[13],"of":[14,24,35,66,72,77,114,143],"transfer":[15,74,97],"function":[16,75,98],"matrices.":[17],"Recently,":[18],"it":[19],"is":[20,44,53,60,80,85],"shown":[21],"that":[22],"some":[23],"these":[25,106],"not":[29,86],"fully":[30],"matched":[31],"with":[32],"definition":[34],"realness.":[38],"On":[39],"other":[41],"hand,":[42],"there":[43,84],"a":[45,87,110],"necessary":[46,115],"condition":[47],"in":[48],"recent":[50],"statements":[51],"which":[52],"difficult":[54],"to":[55],"check":[56],"and":[57,108,116,132,141],"this":[58,102,125],"difficulty":[59],"strongly":[61],"increased":[62],"when":[63],"number":[65],"system":[67,79],"poles":[68],"or":[69],"dimension":[71],"matrix":[76],"increased.":[81],"addition,":[83],"correct":[88],"statement":[89],"characterizing":[91,120],"strictly":[92],"real":[94],"(SPR)":[95],"improper":[96],"matrices":[99],"yet.":[100],"paper,":[103],"we":[104,127,146],"remove":[105],"deficiencies":[107],"derive":[109],"more":[111],"complete":[112],"version":[113],"sufficient":[117],"SPR":[121],"multivariable":[122],"systems.":[123],"For":[124],"purpose,":[126],"use":[128],"Taylor":[129],"series":[130,134],"expansion":[131,135],"Laurent":[133],"simultaneously.":[136],"To":[137],"illustrate":[138],"ease":[140],"comprehensiveness":[142],"our":[144],"results,":[145],"present":[147],"illustrative":[149],"examples.":[150]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}