{"id":"https://openalex.org/W1986993037","doi":"https://doi.org/10.1016/s0005-1098(98)00122-8","title":"Assigning closed-loop invariant polynomials over polytopes for linear periodic systems","display_name":"Assigning closed-loop invariant polynomials over polytopes for linear periodic systems","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1986993037","doi":"https://doi.org/10.1016/s0005-1098(98)00122-8","mag":"1986993037"},"language":"en","primary_location":{"id":"doi:10.1016/s0005-1098(98)00122-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(98)00122-8","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","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/A5009200967","display_name":"L. Jetto","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107146","display_name":"Ospedali Riuniti di Ancona","ror":"https://ror.org/01j0qa041","country_code":"IT","type":"healthcare","lineage":["https://openalex.org/I4210107146"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"L. Jetto","raw_affiliation_strings":["Dipartimento di Elettronica e Automatica, Universit\u00e0 di Ancona, via Brecce Bianche, 60131 Ancona, Italy","Dipartimento di Elettronica e Automatica, Universit\u00e0 di Ancona, via Brecce Bianche, 60131 Ancona, Italy#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica e Automatica, Universit\u00e0 di Ancona, via Brecce Bianche, 60131 Ancona, Italy","institution_ids":["https://openalex.org/I4210107146"]},{"raw_affiliation_string":"Dipartimento di Elettronica e Automatica, Universit\u00e0 di Ancona, via Brecce Bianche, 60131 Ancona, Italy#TAB#","institution_ids":["https://openalex.org/I4210107146"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082166443","display_name":"Sauro Longhi","orcid":"https://orcid.org/0000-0002-1997-8098"},"institutions":[{"id":"https://openalex.org/I4210107146","display_name":"Ospedali Riuniti di Ancona","ror":"https://ror.org/01j0qa041","country_code":"IT","type":"healthcare","lineage":["https://openalex.org/I4210107146"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Longhi","raw_affiliation_strings":["Dipartimento di Elettronica e Automatica, Universit\u00e0 di Ancona, via Brecce Bianche, 60131 Ancona, Italy","Dipartimento di Elettronica e Automatica, Universit\u00e0 di Ancona, via Brecce Bianche, 60131 Ancona, Italy#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica e Automatica, Universit\u00e0 di Ancona, via Brecce Bianche, 60131 Ancona, Italy","institution_ids":["https://openalex.org/I4210107146"]},{"raw_affiliation_string":"Dipartimento di Elettronica e Automatica, Universit\u00e0 di Ancona, via Brecce Bianche, 60131 Ancona, Italy#TAB#","institution_ids":["https://openalex.org/I4210107146"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5009200967"],"corresponding_institution_ids":["https://openalex.org/I4210107146"],"apc_list":{"value":3500,"currency":"USD","value_usd":3500},"apc_paid":null,"fwci":0.3087,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55290102,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"1","first_page":"49","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9853000044822693,"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":0.9853000044822693,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9519000053405762,"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"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9176999926567078,"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/polytope","display_name":"Polytope","score":0.8944089412689209},{"id":"https://openalex.org/keywords/diophantine-equation","display_name":"Diophantine equation","score":0.8250390887260437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6844378709793091},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5907630324363708},{"id":"https://openalex.org/keywords/periodic-system","display_name":"Periodic system","score":0.5395151376724243},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.44222715497016907},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4312092065811157},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3819415271282196},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.33827584981918335},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29315128922462463},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2630409002304077},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13812267780303955},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1333148181438446}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8944089412689209},{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.8250390887260437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6844378709793091},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5907630324363708},{"id":"https://openalex.org/C2989467761","wikidata":"https://www.wikidata.org/wiki/Q10693","display_name":"Periodic system","level":2,"score":0.5395151376724243},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.44222715497016907},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4312092065811157},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3819415271282196},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33827584981918335},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29315128922462463},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2630409002304077},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13812267780303955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1333148181438446},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/s0005-1098(98)00122-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0005-1098(98)00122-8","pdf_url":null,"source":{"id":"https://openalex.org/S51360982","display_name":"Automatica","issn_l":"0005-1098","issn":["0005-1098","1873-2836"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatica","raw_type":"journal-article"},{"id":"pmh:oai:iris.univpm.it:11566/35385","is_oa":false,"landing_page_url":"http://hdl.handle.net/11566/35385","pdf_url":null,"source":{"id":"https://openalex.org/S4306402571","display_name":"Universit\u00e0 Politecnica delle Marche (Universit\u00e0 Politecnica delle Marche)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122534668","host_organization_name":"Marche Polytechnic University","host_organization_lineage":["https://openalex.org/I122534668"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322892","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W43261302","https://openalex.org/W1528718180","https://openalex.org/W1990595105","https://openalex.org/W2006008863","https://openalex.org/W2015841828","https://openalex.org/W2031709284","https://openalex.org/W2032366275","https://openalex.org/W2054035842","https://openalex.org/W2055380033","https://openalex.org/W2056787875","https://openalex.org/W2058044631","https://openalex.org/W2058383091","https://openalex.org/W2059628787","https://openalex.org/W2086703735","https://openalex.org/W2097636048","https://openalex.org/W2105587146","https://openalex.org/W2105770853","https://openalex.org/W2124206532","https://openalex.org/W2133696276","https://openalex.org/W2139486984","https://openalex.org/W2159183668","https://openalex.org/W2214723380","https://openalex.org/W2491188924","https://openalex.org/W2629449004"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W4386631510","https://openalex.org/W2276636510","https://openalex.org/W2105658174","https://openalex.org/W3163145068","https://openalex.org/W1990421243","https://openalex.org/W776139355"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-04T09:04:59.091469","created_date":"2016-06-24T00:00:00"}