{"id":"https://openalex.org/W2052945749","doi":"https://doi.org/10.1007/bf02088298","title":"Feedback transformations on tori","display_name":"Feedback transformations on tori","publication_year":1989,"publication_date":"1989-12-01","ids":{"openalex":"https://openalex.org/W2052945749","doi":"https://doi.org/10.1007/bf02088298","mag":"2052945749"},"language":"en","primary_location":{"id":"doi:10.1007/bf02088298","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02088298","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Systems Theory","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/A5109907378","display_name":"W.P. Dayawansa","orcid":null},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wijesuriya Dayawansa","raw_affiliation_strings":["Department of Mathematics, Texas Tech University, 79409, Lubbock, TX, USA","Department of Mathematics , Texas Tech University Lubbock, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas Tech University, 79409, Lubbock, TX, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Department of Mathematics , Texas Tech University Lubbock, USA","institution_ids":["https://openalex.org/I12315562"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005946535","display_name":"David L. Elliott","orcid":"https://orcid.org/0000-0002-9540-4424"},"institutions":[{"id":"https://openalex.org/I204465549","display_name":"Washington University in St. Louis","ror":"https://ror.org/01yc7t268","country_code":"US","type":"education","lineage":["https://openalex.org/I204465549"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Elliott","raw_affiliation_strings":["Department of Systems Science and Mathematics, Washington University, 63130, St. Louis, MO, USA","Department of Systems Science & Mathematics, Washington University, St. Louis, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Systems Science and Mathematics, Washington University, 63130, St. Louis, MO, USA","institution_ids":["https://openalex.org/I204465549"]},{"raw_affiliation_string":"Department of Systems Science & Mathematics, Washington University, St. Louis, USA","institution_ids":["https://openalex.org/I204465549"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044435554","display_name":"Clyde F. Martin","orcid":"https://orcid.org/0000-0002-5449-0653"},"institutions":[{"id":"https://openalex.org/I12315562","display_name":"Texas Tech University","ror":"https://ror.org/0405mnx93","country_code":"US","type":"education","lineage":["https://openalex.org/I12315562"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Clyde Martin","raw_affiliation_strings":["Department of Mathematics, Texas Tech University, 79409, Lubbock, TX, USA","Department of Mathematics , Texas Tech University Lubbock, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Texas Tech University, 79409, Lubbock, TX, USA","institution_ids":["https://openalex.org/I12315562"]},{"raw_affiliation_string":"Department of Mathematics , Texas Tech University Lubbock, USA","institution_ids":["https://openalex.org/I12315562"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.14900367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"1","first_page":"213","last_page":"219"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12031","display_name":"Speech and dialogue systems","score":0.06310000270605087,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12031","display_name":"Speech and dialogue systems","score":0.06310000270605087,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10403","display_name":"Phonetics and Phonology Research","score":0.05640000104904175,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11349","display_name":"Music Technology and Sound Studies","score":0.05620000138878822,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/invariant","display_name":"Invariant (physics)","score":0.6869693994522095},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.6584762334823608},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.5952913165092468},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5419526696205139},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.519596517086029},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5001146793365479},{"id":"https://openalex.org/keywords/vector-field","display_name":"Vector field","score":0.46803051233291626},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.4644925892353058},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.29265573620796204},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.2675073742866516},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1732759177684784},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.08292466402053833},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07117998600006104}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6869693994522095},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.6584762334823608},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.5952913165092468},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5419526696205139},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.519596517086029},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5001146793365479},{"id":"https://openalex.org/C91188154","wikidata":"https://www.wikidata.org/wiki/Q186247","display_name":"Vector field","level":2,"score":0.46803051233291626},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.4644925892353058},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.29265573620796204},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2675073742866516},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1732759177684784},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.08292466402053833},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07117998600006104},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02088298","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02088298","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Systems Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1603062095","https://openalex.org/W2133311994","https://openalex.org/W2321493138","https://openalex.org/W2331288869","https://openalex.org/W2481859116","https://openalex.org/W2577608236","https://openalex.org/W2578863318","https://openalex.org/W4232366010"],"related_works":["https://openalex.org/W1487790116","https://openalex.org/W2146447767","https://openalex.org/W3124916295","https://openalex.org/W2022411416","https://openalex.org/W2167530280","https://openalex.org/W3197597876","https://openalex.org/W2370487582","https://openalex.org/W2008056361","https://openalex.org/W2085874053","https://openalex.org/W2398726945"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}