{"id":"https://openalex.org/W2160604652","doi":"https://doi.org/10.1109/31.55045","title":"Some properties of multivariable mirror-image and anti-mirror-image polynomials obtained by the bilinear transformations of Hurwitz polynomials","display_name":"Some properties of multivariable mirror-image and anti-mirror-image polynomials obtained by the bilinear transformations of Hurwitz polynomials","publication_year":1990,"publication_date":"1990-06-01","ids":{"openalex":"https://openalex.org/W2160604652","doi":"https://doi.org/10.1109/31.55045","mag":"2160604652"},"language":"en","primary_location":{"id":"doi:10.1109/31.55045","doi":"https://doi.org/10.1109/31.55045","is_oa":false,"landing_page_url":"https://doi.org/10.1109/31.55045","pdf_url":null,"source":{"id":"https://openalex.org/S185806230","display_name":"IEEE Transactions on Circuits and Systems","issn_l":"0098-4094","issn":["0098-4094","1558-1276"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"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 Circuits and Systems","raw_type":"journal-article"},"volume":null,"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/A5043162904","display_name":"V. Ramachandran","orcid":"https://orcid.org/0000-0002-8821-2926","observed_orcids":["https://orcid.org/0000-0002-8821-2926"]},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"V. Ramachandran","raw_affiliation_strings":["Department of Electrical Engineering, Concordia University, Montreal, QUE, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Concordia University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035412745","display_name":"Majid Ahmadi","orcid":"https://orcid.org/0000-0001-5781-6754","observed_orcids":["https://orcid.org/0000-0001-5781-6754"]},"institutions":[{"id":"https://openalex.org/I74413500","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370","country_code":"CA","type":"education","lineage":["https://openalex.org/I74413500"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"M. Ahmadi","raw_affiliation_strings":["Department of Electrical Engineering, University of Windsor, Windsor, ONT, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Windsor, Windsor, ONT, Canada","institution_ids":["https://openalex.org/I74413500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.36946102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"6","first_page":"828","last_page":"831"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9506999850273132,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9506999850273132,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.014700000174343586,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.0052999998442828655,"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/hurwitz-polynomials","display_name":"Hurwitz polynomials","score":0.984000027179718},{"id":"https://openalex.org/keywords/mobius-transformations","display_name":"M\u00f6bius transformations","score":0.8519999980926514},{"id":"https://openalex.org/keywords/multivariate-polynomials","display_name":"multivariate polynomials","score":0.9509999752044678},{"id":"https://openalex.org/keywords/stability-testing","display_name":"stability testing","score":0.6579999923706055},{"id":"https://openalex.org/keywords/polynomial-stability","display_name":"polynomial stability","score":0.4880000054836273}],"concepts":[{"id":"https://openalex.org/C120501884","wikidata":"https://www.wikidata.org/wiki/Q1414214","display_name":"Hurwitz polynomial","level":3,"score":0.7983481884002686},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.7213459610939026},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.6121464371681213},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5760748386383057},{"id":"https://openalex.org/C109786386","wikidata":"https://www.wikidata.org/wiki/Q861804","display_name":"Bilinear transform","level":4,"score":0.5743670463562012},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5069460868835449},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.49539482593536377},{"id":"https://openalex.org/C198931094","wikidata":"https://www.wikidata.org/wiki/Q2610096","display_name":"Hurwitz matrix","level":3,"score":0.48962002992630005},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.4786219000816345},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46590715646743774},{"id":"https://openalex.org/C1366977","wikidata":"https://www.wikidata.org/wiki/Q2621270","display_name":"Routh\u2013Hurwitz stability criterion","level":3,"score":0.4174475073814392},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4129124879837036},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.32547008991241455},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23586660623550415},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.18883314728736877},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18214914202690125},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1123301088809967},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.08569124341011047},{"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/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"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/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/31.55045","doi":"https://doi.org/10.1109/31.55045","is_oa":false,"landing_page_url":"https://doi.org/10.1109/31.55045","pdf_url":null,"source":{"id":"https://openalex.org/S185806230","display_name":"IEEE Transactions on Circuits and Systems","issn_l":"0098-4094","issn":["0098-4094","1558-1276"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"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 Circuits and Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1530768209","https://openalex.org/W2064257154","https://openalex.org/W2086264563","https://openalex.org/W2159482789"],"related_works":["https://openalex.org/W2520906213","https://openalex.org/W2508418100","https://openalex.org/W1971038577","https://openalex.org/W2022729423","https://openalex.org/W2048318081","https://openalex.org/W2922866143","https://openalex.org/W2887374520","https://openalex.org/W1568274927","https://openalex.org/W2159848043","https://openalex.org/W2110434456"],"abstract_inverted_index":{"Two":[0],"new":[1],"properties":[2],"of":[3,22,53],"k-variable":[4,17],"mirror-image":[5],"and":[6],"anti-mirror-image":[7],"polynomials":[8,19,31],"are":[9,13],"obtained":[10],"when":[11],"they":[12],"derived":[14],"from":[15],"the":[16,39,51],"Hurwitz":[18],"by":[20],"means":[21],"bilinear":[23],"transformations.":[24],"It":[25],"is":[26],"also":[27],"shown":[28],"how":[29],"such":[30],"can":[32],"be":[33],"used":[34,48],"in":[35,38,45],"stability":[36,52],"tests":[37],"discrete":[40],"polydomain,":[41],"as":[42,44],"well":[43],"Schur-Cohn":[46],"matrices":[47],"for":[49],"testing":[50],"multivariable":[54],"transfer":[55],"functions.>":[56]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}