{"id":"https://openalex.org/W2298416361","doi":"https://doi.org/10.1093/imamci/dnv037","title":"Robust controlled invariant subspaces and disturbance decoupling for uncertain switched linear systems","display_name":"Robust controlled invariant subspaces and disturbance decoupling for uncertain switched linear systems","publication_year":2015,"publication_date":"2015-07-14","ids":{"openalex":"https://openalex.org/W2298416361","doi":"https://doi.org/10.1093/imamci/dnv037","mag":"2298416361"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnv037","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv037","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5061317593","display_name":"Naohisa Otsuka","orcid":"https://orcid.org/0000-0003-2127-1160"},"institutions":[{"id":"https://openalex.org/I165522056","display_name":"Tokyo Denki University","ror":"https://ror.org/01pa62v70","country_code":"JP","type":"education","lineage":["https://openalex.org/I165522056"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"N. Otsuka","raw_affiliation_strings":["School of Science and Engineering, Tokyo Denki University, Hatoyama-machi, Hiki-gun, Saitama 350-0394, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Engineering, Tokyo Denki University, Hatoyama-machi, Hiki-gun, Saitama 350-0394, Japan","institution_ids":["https://openalex.org/I165522056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101966831","display_name":"Hiroki Saito","orcid":"https://orcid.org/0000-0001-6790-1549"},"institutions":[{"id":"https://openalex.org/I165522056","display_name":"Tokyo Denki University","ror":"https://ror.org/01pa62v70","country_code":"JP","type":"education","lineage":["https://openalex.org/I165522056"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"H. Saito","raw_affiliation_strings":["School of Science and Engineering, Tokyo Denki University, Hatoyama-machi, Hiki-gun, Saitama 350-0394, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science and Engineering, Tokyo Denki University, Hatoyama-machi, Hiki-gun, Saitama 350-0394, Japan","institution_ids":["https://openalex.org/I165522056"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050216642","display_name":"G. Conte","orcid":"https://orcid.org/0000-0001-6615-1539"},"institutions":[{"id":"https://openalex.org/I122534668","display_name":"Marche Polytechnic University","ror":"https://ror.org/00x69rs40","country_code":"IT","type":"education","lineage":["https://openalex.org/I122534668"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"G. Conte","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 Politecnica delle Marche, Via Brecce Bianche 12, 60131, Ancona, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 Politecnica delle Marche, Via Brecce Bianche 12, 60131, Ancona, Italy","institution_ids":["https://openalex.org/I122534668"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031870530","display_name":"Anna Maria Perdon","orcid":"https://orcid.org/0000-0001-5679-555X"},"institutions":[{"id":"https://openalex.org/I122534668","display_name":"Marche Polytechnic University","ror":"https://ror.org/00x69rs40","country_code":"IT","type":"education","lineage":["https://openalex.org/I122534668"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"A. M. Perdon","raw_affiliation_strings":["Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 Politecnica delle Marche, Via Brecce Bianche 12, 60131, Ancona, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Ingegneria dell'Informazione, Universit\u00e0 Politecnica delle Marche, Via Brecce Bianche 12, 60131, Ancona, Italy","institution_ids":["https://openalex.org/I122534668"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5061317593"],"corresponding_institution_ids":["https://openalex.org/I165522056"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.3408,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.68067661,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"dnv037","last_page":"dnv037"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":1.0,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":1.0,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9932000041007996,"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/T11236","display_name":"Control Systems and Identification","score":0.9897000193595886,"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/linear-subspace","display_name":"Linear subspace","score":0.8761712908744812},{"id":"https://openalex.org/keywords/decoupling","display_name":"Decoupling (probability)","score":0.8440390825271606},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7142585515975952},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5455784201622009},{"id":"https://openalex.org/keywords/disturbance","display_name":"Disturbance (geology)","score":0.5328640937805176},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5168362259864807},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5072504878044128},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4778044819831848},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38493427634239197},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1444626748561859},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09066402912139893},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.08950138092041016},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08661076426506042},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07244083285331726},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06192556023597717},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04897671937942505}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.8761712908744812},{"id":"https://openalex.org/C205606062","wikidata":"https://www.wikidata.org/wiki/Q5249645","display_name":"Decoupling (probability)","level":2,"score":0.8440390825271606},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7142585515975952},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5455784201622009},{"id":"https://openalex.org/C2777601987","wikidata":"https://www.wikidata.org/wiki/Q5283581","display_name":"Disturbance (geology)","level":2,"score":0.5328640937805176},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5168362259864807},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5072504878044128},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4778044819831848},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38493427634239197},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1444626748561859},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09066402912139893},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.08950138092041016},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08661076426506042},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07244083285331726},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06192556023597717},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04897671937942505},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"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/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/imamci/dnv037","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnv037","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"},{"id":"pmh:oai:iris.univpm.it:11566/247698","is_oa":false,"landing_page_url":"http://hdl.handle.net/11566/247698","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W658474564","https://openalex.org/W1507624518","https://openalex.org/W1552094772","https://openalex.org/W1556970733","https://openalex.org/W1568394757","https://openalex.org/W1628230797","https://openalex.org/W1887006513","https://openalex.org/W1893124157","https://openalex.org/W1964373008","https://openalex.org/W1974882820","https://openalex.org/W1978183638","https://openalex.org/W1978411566","https://openalex.org/W1981634712","https://openalex.org/W1984610561","https://openalex.org/W1993035294","https://openalex.org/W2009685183","https://openalex.org/W2021285205","https://openalex.org/W2039015886","https://openalex.org/W2040155739","https://openalex.org/W2049644683","https://openalex.org/W2086822054","https://openalex.org/W2092271368","https://openalex.org/W2094272892","https://openalex.org/W2099361755","https://openalex.org/W2139977821","https://openalex.org/W2141324176","https://openalex.org/W2171873373","https://openalex.org/W2482227233","https://openalex.org/W2493080253","https://openalex.org/W2610738325","https://openalex.org/W2765989568"],"related_works":["https://openalex.org/W2391321755","https://openalex.org/W2038604956","https://openalex.org/W2296560746","https://openalex.org/W2338222801","https://openalex.org/W2896134808","https://openalex.org/W2075570045","https://openalex.org/W2076847376","https://openalex.org/W2620899438","https://openalex.org/W1967348596","https://openalex.org/W2782636348"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"will":[4],"first":[5],"study":[6],"two":[7],"robust":[8],"controlled":[9],"invariant":[10],"subspaces":[11],"under":[12,31,66],"common":[13],"input":[14],"for":[15,22,37,50,75],"a":[16,23,82],"family":[17,24],"of":[18,25],"vertex":[19],"systems":[20,42],"and":[21,45,47,72],"subsystems.":[26],"Next,":[27],"disturbance":[28,60],"decoupling":[29,61],"problems":[30,52,62,77],"arbitrary":[32,67],"switching":[33,68],"via":[34],"state":[35],"feedback":[36],"polytopic":[38],"uncertain":[39],"switched":[40],"linear":[41],"are":[43,56,69,78],"formulated,":[44,71],"necessary":[46],"sufficient":[48],"conditions":[49,74],"the":[51,59,76],"to":[53],"be":[54],"solvable":[55],"presented.":[57],"Further,":[58],"with":[63],"exponential":[64],"stability":[65],"also":[70,86],"solvability":[73],"briefly":[79],"discussed.":[80],"Finally,":[81],"numerical":[83],"example":[84],"is":[85],"investigated.":[87]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2016-06-24T00:00:00"}