{"id":"https://openalex.org/W2941423405","doi":"https://doi.org/10.1080/00207179.2019.1612095","title":"On conditions guaranteeing two rational matrices possess identical pole/zero structure","display_name":"On conditions guaranteeing two rational matrices possess identical pole/zero structure","publication_year":2019,"publication_date":"2019-04-26","ids":{"openalex":"https://openalex.org/W2941423405","doi":"https://doi.org/10.1080/00207179.2019.1612095","mag":"2941423405"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2019.1612095","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2019.1612095","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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/A5075118848","display_name":"Ioannis Kafetzis","orcid":"https://orcid.org/0000-0002-3533-2246"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"I. S. Kafetzis","raw_affiliation_strings":["School of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066594965","display_name":"Nicholas P. Karampetakis","orcid":"https://orcid.org/0000-0002-4578-5521"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"N. P. Karampetakis","raw_affiliation_strings":["School of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066594965"],"corresponding_institution_ids":["https://openalex.org/I21370196"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03188138,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"94","issue":"3","first_page":"663","last_page":"674"},"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":0.9940000176429749,"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":0.9940000176429749,"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/T10805","display_name":"Vehicle Dynamics and Control Systems","score":0.9889000058174133,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9819999933242798,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.746747612953186},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.715101957321167},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6672520637512207},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5385141968727112},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.5347093343734741},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5047472715377808},{"id":"https://openalex.org/keywords/transformation-matrix","display_name":"Transformation matrix","score":0.41149741411209106},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10221704840660095},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.0525776743888855}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.746747612953186},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.715101957321167},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6672520637512207},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5385141968727112},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.5347093343734741},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5047472715377808},{"id":"https://openalex.org/C165443888","wikidata":"https://www.wikidata.org/wiki/Q1482183","display_name":"Transformation matrix","level":3,"score":0.41149741411209106},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10221704840660095},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0525776743888855},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2019.1612095","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2019.1612095","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321916","display_name":"State Scholarships Foundation","ror":"https://ror.org/023z3dm33"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1594851591","https://openalex.org/W1987037706","https://openalex.org/W2010647489","https://openalex.org/W2041926662","https://openalex.org/W2067805107","https://openalex.org/W2073517747","https://openalex.org/W2078839767","https://openalex.org/W2085849252","https://openalex.org/W2110759274","https://openalex.org/W2113269352","https://openalex.org/W2141622234","https://openalex.org/W2159960005","https://openalex.org/W2529527814","https://openalex.org/W2561298891","https://openalex.org/W2565628752","https://openalex.org/W2782846621"],"related_works":["https://openalex.org/W3013650182","https://openalex.org/W4249605382","https://openalex.org/W4313491656","https://openalex.org/W2100079542","https://openalex.org/W1994539089","https://openalex.org/W1515939773","https://openalex.org/W2112938363","https://openalex.org/W1601028106","https://openalex.org/W2383398300","https://openalex.org/W2947223828"],"abstract_inverted_index":{"The":[0],"paper":[1],"consists":[2],"of":[3,22],"two":[4],"parts.":[5],"In":[6,30],"the":[7,19,26,31,34,44],"first":[8],"part":[9],"an":[10],"equivalence":[11,36],"transformation":[12,37],"is":[13,38],"proposed":[14,35],"that":[15],"leaves":[16],"invariant":[17],"only":[18],"pole":[20],"structure":[21,46],"rational":[23],"matrices":[24],"in":[25,40],"extended":[27,39],"complex":[28],"plain.":[29],"second":[32],"part,":[33],"order":[41],"to":[42],"preserve":[43],"zero":[45],"as":[47],"well.":[48]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
