{"id":"https://openalex.org/W2042366200","doi":"https://doi.org/10.1002/cta.4490200105","title":"Transformation of the transfer function variables of the singular<i>n</i>\u2010dimensional roesser model","display_name":"Transformation of the transfer function variables of the singular<i>n</i>\u2010dimensional roesser model","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W2042366200","doi":"https://doi.org/10.1002/cta.4490200105","mag":"2042366200"},"language":"en","primary_location":{"id":"doi:10.1002/cta.4490200105","is_oa":false,"landing_page_url":"https://doi.org/10.1002/cta.4490200105","pdf_url":null,"source":{"id":"https://openalex.org/S92132303","display_name":"International Journal of Circuit Theory and Applications","issn_l":"0098-9886","issn":["0098-9886","1097-007X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Circuit Theory and Applications","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/A5066492464","display_name":"Krzysztof Ga\u0142kowski","orcid":"https://orcid.org/0000-0003-4470-2162"},"institutions":[{"id":"https://openalex.org/I11923345","display_name":"Wroc\u0142aw University of Science and Technology","ror":"https://ror.org/008fyn775","country_code":"PL","type":"education","lineage":["https://openalex.org/I11923345"]},{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Krzysztof Galkowski","raw_affiliation_strings":["Institute of Telecommunications and Acoustics, Technical University of Wroclaw, Ul. Wybrzezze Wyspian\u0301skiego 27, 50-370 Wroclaw, Poland","Institute of Telecommunications and Acoustics, Technical University of Wroclaw, Ul. Wybrzezze Wyspia\u0144skiego 27, 50\u2010370 Wroclaw, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Telecommunications and Acoustics, Technical University of Wroclaw, Ul. Wybrzezze Wyspian\u0301skiego 27, 50-370 Wroclaw, Poland","institution_ids":["https://openalex.org/I11923345","https://openalex.org/I219388962"]},{"raw_affiliation_string":"Institute of Telecommunications and Acoustics, Technical University of Wroclaw, Ul. Wybrzezze Wyspia\u0144skiego 27, 50\u2010370 Wroclaw, Poland","institution_ids":["https://openalex.org/I11923345"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5066492464"],"corresponding_institution_ids":["https://openalex.org/I11923345","https://openalex.org/I219388962"],"apc_list":{"value":3660,"currency":"USD","value_usd":3660},"apc_paid":null,"fwci":0.7019,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.67483633,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"1","first_page":"63","last_page":"74"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9921000003814697,"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"}},"topics":[{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9921000003814697,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9912999868392944,"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/T11262","display_name":"Quantum Mechanics and Non-Hermitian Physics","score":0.9836000204086304,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monic-polynomial","display_name":"Monic polynomial","score":0.8621801733970642},{"id":"https://openalex.org/keywords/bilinear-transform","display_name":"Bilinear transform","score":0.79373699426651},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6569749116897583},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.6320717334747314},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5980545282363892},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.580664873123169},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.5457385182380676},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.536586582660675},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.5028666853904724},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4552004933357239},{"id":"https://openalex.org/keywords/vector-valued-function","display_name":"Vector-valued function","score":0.4345055818557739},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.43306291103363037},{"id":"https://openalex.org/keywords/state-vector","display_name":"State vector","score":0.4141480326652527},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4072818458080292},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3735140264034271},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.25479477643966675},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15630489587783813},{"id":"https://openalex.org/keywords/digital-filter","display_name":"Digital filter","score":0.07852131128311157}],"concepts":[{"id":"https://openalex.org/C163635466","wikidata":"https://www.wikidata.org/wiki/Q3099696","display_name":"Monic polynomial","level":3,"score":0.8621801733970642},{"id":"https://openalex.org/C109786386","wikidata":"https://www.wikidata.org/wiki/Q861804","display_name":"Bilinear transform","level":4,"score":0.79373699426651},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6569749116897583},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.6320717334747314},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5980545282363892},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.580664873123169},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.5457385182380676},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.536586582660675},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.5028666853904724},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4552004933357239},{"id":"https://openalex.org/C2456702","wikidata":"https://www.wikidata.org/wiki/Q1375954","display_name":"Vector-valued function","level":2,"score":0.4345055818557739},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.43306291103363037},{"id":"https://openalex.org/C2777798563","wikidata":"https://www.wikidata.org/wiki/Q7603916","display_name":"State vector","level":2,"score":0.4141480326652527},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4072818458080292},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3735140264034271},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25479477643966675},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15630489587783813},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.07852131128311157},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","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/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/cta.4490200105","is_oa":false,"landing_page_url":"https://doi.org/10.1002/cta.4490200105","pdf_url":null,"source":{"id":"https://openalex.org/S92132303","display_name":"International Journal of Circuit Theory and Applications","issn_l":"0098-9886","issn":["0098-9886","1097-007X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Circuit Theory and Applications","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":8,"referenced_works":["https://openalex.org/W1658866577","https://openalex.org/W1974256071","https://openalex.org/W1995807315","https://openalex.org/W2024546209","https://openalex.org/W2034177492","https://openalex.org/W2035513909","https://openalex.org/W2062162297","https://openalex.org/W2083586608"],"related_works":["https://openalex.org/W1980475358","https://openalex.org/W2010641749","https://openalex.org/W1986901684","https://openalex.org/W4320339927","https://openalex.org/W1976750632","https://openalex.org/W2751514289","https://openalex.org/W4319599684","https://openalex.org/W2952764322","https://openalex.org/W1968689469","https://openalex.org/W4299962674"],"abstract_inverted_index":{"Abstract":[0],"A":[1],"singular":[2],"Roesser":[3],"model":[4],"is":[5,75],"presented":[6],"for":[7],"a":[8],"non\u2010causal":[9],"n":[10,13,19,78],"\u2010dimensional":[11],"(":[12],"\u2010D)":[14],"system":[15],"described":[16],"by":[17],"an":[18],"\u2010D":[20],"transfer":[21,29],"function":[22,30],"with":[23],"non\u2010monic":[24],"denominator.":[25],"Transformations":[26],"of":[27,65,71],"the":[28,41,57,62,66,72],"variables":[31],"(inversion,":[32],"multivariable":[33],"bilinear":[34],"transformation)":[35],"have":[36],"been":[37],"used":[38],"to":[39,44,69],"transform":[40],"given":[42],"polynomial":[43,68],"monic":[45],"form.":[46],"These":[47],"transformations":[48],"are":[49],"also":[50],"discussed":[51],"in":[52],"state\u2010space":[53],"description":[54],"terms.":[55],"Additionally,":[56],"matrix":[58,80],"Q":[59],"which":[60],"relates":[61],"coefficients":[63],"vector":[64],"transformed":[67],"that":[70],"original":[73],"one":[74],"obtained":[76],"using":[77],"\u2010way":[79],"methods.":[81]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2016-06-24T00:00:00"}