{"id":"https://openalex.org/W2084612112","doi":"https://doi.org/10.1109/cdc.2012.6426715","title":"A separation theorem for a class of MIMO discrete-time nonlinear systems","display_name":"A separation theorem for a class of MIMO discrete-time nonlinear systems","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2084612112","doi":"https://doi.org/10.1109/cdc.2012.6426715","mag":"2084612112"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426715","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426715","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5054331202","display_name":"Francesco Conte","orcid":"https://orcid.org/0000-0003-0006-3549"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Conte","raw_affiliation_strings":["Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli studi dell'Aquila, Coppito, Italy","Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli studi dell'Aquila, Via Vetoio (Coppito 1), 67100 (AQ), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli studi dell'Aquila, Coppito, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli studi dell'Aquila, Via Vetoio (Coppito 1), 67100 (AQ), Italy","institution_ids":["https://openalex.org/I26415053"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034312302","display_name":"Valerio Cusimano","orcid":"https://orcid.org/0000-0002-1965-9054"},"institutions":[{"id":"https://openalex.org/I155125353","display_name":"Universit\u00e0 Campus Bio-Medico","ror":"https://ror.org/04gqx4x78","country_code":"IT","type":"education","lineage":["https://openalex.org/I155125353"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Valerio Cusimano","raw_affiliation_strings":["Universit\u00e0Campus Bio-Medico di Roma, Roma, Italy","Universit\u00e0 Campus Bio-Medico di Roma, Via \u00c1lvaro del Portillo 00128, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0Campus Bio-Medico di Roma, Roma, Italy","institution_ids":["https://openalex.org/I155125353"]},{"raw_affiliation_string":"Universit\u00e0 Campus Bio-Medico di Roma, Via \u00c1lvaro del Portillo 00128, Italy","institution_ids":["https://openalex.org/I155125353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042421338","display_name":"Alfredo Germani","orcid":"https://orcid.org/0000-0003-4457-8800"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alfredo Germani","raw_affiliation_strings":["Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli studi dell'Aquila, Coppito, Italy","Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli studi dell'Aquila, Via Vetoio (Coppito 1), 67100 (AQ), Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli studi dell'Aquila, Coppito, Italy","institution_ids":["https://openalex.org/I26415053"]},{"raw_affiliation_string":"Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Universit\u00e0 degli studi dell'Aquila, Via Vetoio (Coppito 1), 67100 (AQ), Italy","institution_ids":["https://openalex.org/I26415053"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":null,"first_page":"5888","last_page":"5893"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9997000098228455,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9965999722480774,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.996399998664856,"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/observability","display_name":"Observability","score":0.906894326210022},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7059651613235474},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7056457996368408},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6879181265830994},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6279681324958801},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5499484539031982},{"id":"https://openalex.org/keywords/separation","display_name":"Separation (statistics)","score":0.53619384765625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49202820658683777},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4586948752403259},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3835632801055908},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.081785649061203},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07896515727043152},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06949076056480408}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.906894326210022},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7059651613235474},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7056457996368408},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6879181265830994},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6279681324958801},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5499484539031982},{"id":"https://openalex.org/C2776061190","wikidata":"https://www.wikidata.org/wiki/Q7451805","display_name":"Separation (statistics)","level":2,"score":0.53619384765625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49202820658683777},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4586948752403259},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3835632801055908},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.081785649061203},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07896515727043152},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06949076056480408},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2012.6426715","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426715","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.unige.it:11567/871808","is_oa":false,"landing_page_url":"https://hdl.handle.net/11567/871808","pdf_url":null,"source":{"id":"https://openalex.org/S4377196291","display_name":"CINECA IRIS Institutial Research Information System (University of Genoa)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I83816512","host_organization_name":"University of Genoa","host_organization_lineage":["https://openalex.org/I83816512"],"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/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1566747349","https://openalex.org/W1627411884","https://openalex.org/W1994157709","https://openalex.org/W1996542988","https://openalex.org/W2004540762","https://openalex.org/W2012525071","https://openalex.org/W2023528613","https://openalex.org/W2039708743","https://openalex.org/W2041086749","https://openalex.org/W2042519843","https://openalex.org/W2050248930","https://openalex.org/W2054100465","https://openalex.org/W2076356716","https://openalex.org/W2098816895","https://openalex.org/W2102745335","https://openalex.org/W2105646506","https://openalex.org/W2156529012","https://openalex.org/W2160725977","https://openalex.org/W4292872153","https://openalex.org/W6683089394"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2765830098","https://openalex.org/W2967463586","https://openalex.org/W2074679142","https://openalex.org/W1971989957","https://openalex.org/W2517338020","https://openalex.org/W3157641275","https://openalex.org/W4312300846","https://openalex.org/W4206221578","https://openalex.org/W3029572990"],"abstract_inverted_index":{"In":[0],"this":[1,64],"paper":[2],"the":[3,34,42,48,54,61],"problem":[4],"of":[5,12,36,58,63],"output":[6],"feedback":[7],"stabilizability":[8],"for":[9,33,53],"a":[10],"class":[11,35],"MIMO":[13],"discrete-time":[14],"nonlinear":[15,37],"systems":[16,38],"is":[17,22],"considered.":[18],"The":[19],"proposed":[20],"solution":[21],"based":[23],"on":[24],"an":[25],"ad-hoc":[26],"separation":[27],"assumption":[28],"that":[29],"could":[30],"be":[31],"satisfied":[32],"characterized":[39],"to":[40],"have":[41],"full":[43],"vector":[44],"relative":[45],"degree":[46],"and":[47],"drift-observability":[49],"properties.":[50],"Numerical":[51],"results":[52],"simple":[55],"academic":[56],"case":[57],"pendulum":[59],"show":[60],"effectiveness":[62],"approach.":[65]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}