{"id":"https://openalex.org/W3008506234","doi":"https://doi.org/10.1080/00207179.2020.1733098","title":"On mode reconstructability and reconstructability sets of piecewise linear systems","display_name":"On mode reconstructability and reconstructability sets of piecewise linear systems","publication_year":2020,"publication_date":"2020-02-20","ids":{"openalex":"https://openalex.org/W3008506234","doi":"https://doi.org/10.1080/00207179.2020.1733098","mag":"3008506234"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2020.1733098","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2020.1733098","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","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/A5061871947","display_name":"Manuel Mera","orcid":null},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Manuel Mera","raw_affiliation_strings":["Escuela Superior de Ingenier\u00eda Mec\u00e1nica y El\u00e9ctrica (Ticom\u00e1n) \u2013 Instituto Polit\u00e9cnico Nacional, Mexico City, M\u00e9xico","Unidad Profesional Interdisciplinaria de Biotecnolog\u00eda \u2013 Instituto Polit\u00e9cnico Nacional, Mexico City, M\u00e9xico"],"raw_orcid":"https://orcid.org/0000-0002-9167-9084","affiliations":[{"raw_affiliation_string":"Escuela Superior de Ingenier\u00eda Mec\u00e1nica y El\u00e9ctrica (Ticom\u00e1n) \u2013 Instituto Polit\u00e9cnico Nacional, Mexico City, M\u00e9xico","institution_ids":["https://openalex.org/I59361560"]},{"raw_affiliation_string":"Unidad Profesional Interdisciplinaria de Biotecnolog\u00eda \u2013 Instituto Polit\u00e9cnico Nacional, Mexico City, M\u00e9xico","institution_ids":["https://openalex.org/I59361560"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091026086","display_name":"Francisco Javier Bejarano","orcid":"https://orcid.org/0000-0002-9141-4895"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Francisco Javier Bejarano","raw_affiliation_strings":["Escuela Superior de Ingenier\u00eda Mec\u00e1nica y El\u00e9ctrica (Ticom\u00e1n) \u2013 Instituto Polit\u00e9cnico Nacional, Mexico City, M\u00e9xico"],"raw_orcid":"https://orcid.org/0000-0002-9141-4895","affiliations":[{"raw_affiliation_string":"Escuela Superior de Ingenier\u00eda Mec\u00e1nica y El\u00e9ctrica (Ticom\u00e1n) \u2013 Instituto Polit\u00e9cnico Nacional, Mexico City, M\u00e9xico","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061871947"],"corresponding_institution_ids":["https://openalex.org/I59361560"],"apc_list":null,"apc_paid":null,"fwci":0.2976,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.53490879,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"94","issue":"10","first_page":"2703","last_page":"2711"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9994999766349792,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9994999766349792,"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":0.9991000294685364,"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":0.9987999796867371,"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/hyperplane","display_name":"Hyperplane","score":0.6915852427482605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6593745350837708},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.605790376663208},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5922709703445435},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5309072732925415},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.5007336139678955},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.48021969199180603},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.4564320147037506},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4244714081287384},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4049603044986725},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3726809024810791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27848362922668457},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2295539677143097},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17753121256828308},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15199413895606995},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09734955430030823},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07544729113578796}],"concepts":[{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.6915852427482605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6593745350837708},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.605790376663208},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5922709703445435},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5309072732925415},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.5007336139678955},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.48021969199180603},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.4564320147037506},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4244714081287384},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4049603044986725},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3726809024810791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27848362922668457},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2295539677143097},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17753121256828308},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15199413895606995},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09734955430030823},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07544729113578796},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"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:10.1080/00207179.2020.1733098","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2020.1733098","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1793552965","display_name":null,"funder_award_id":"20195243","funder_id":"https://openalex.org/F4320324201","funder_display_name":"Secretar\u00eda de Investigaci\u00f3n y Posgrado, Instituto Polit\u00e9cnico Nacional"},{"id":"https://openalex.org/G7255377184","display_name":null,"funder_award_id":"20190196","funder_id":"https://openalex.org/F4320324201","funder_display_name":"Secretar\u00eda de Investigaci\u00f3n y Posgrado, Instituto Polit\u00e9cnico Nacional"}],"funders":[{"id":"https://openalex.org/F4320324201","display_name":"Secretar\u00eda de Investigaci\u00f3n y Posgrado, Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W205734898","https://openalex.org/W1480093734","https://openalex.org/W1486723890","https://openalex.org/W1900371862","https://openalex.org/W2005634690","https://openalex.org/W2022703914","https://openalex.org/W2023885308","https://openalex.org/W2026394241","https://openalex.org/W2072508748","https://openalex.org/W2082981780","https://openalex.org/W2098690667","https://openalex.org/W2107278508","https://openalex.org/W2114331127","https://openalex.org/W2114690521","https://openalex.org/W2121712307","https://openalex.org/W2126761526","https://openalex.org/W2129388048","https://openalex.org/W2131072910","https://openalex.org/W2133763599","https://openalex.org/W2137284810","https://openalex.org/W2138515630","https://openalex.org/W2148124014","https://openalex.org/W2555871765","https://openalex.org/W2562854303","https://openalex.org/W2567289819","https://openalex.org/W2612725764","https://openalex.org/W2968658817","https://openalex.org/W4388013161"],"related_works":["https://openalex.org/W2369655046","https://openalex.org/W2019467317","https://openalex.org/W1585519779","https://openalex.org/W2061373800","https://openalex.org/W2743650898","https://openalex.org/W2142607709","https://openalex.org/W2133763599","https://openalex.org/W2001427001","https://openalex.org/W2340874463","https://openalex.org/W2295922520"],"abstract_inverted_index":{"This":[0],"paper":[1],"focuses":[2],"on":[3,61],"the":[4,15,21,25,47,53,62,76,81,85,98,120,125,131,140],"problem":[5],"of":[6,9,20,39,78,80,128,133],"mode":[7,59,89,93,101,121],"reconstructability":[8,122],"piecewise":[10],"linear":[11],"multi-output":[12],"systems":[13],"for":[14,100,124],"case":[16],"when":[17],"a":[18,113],"partition":[19,29],"state":[22,64,82],"space":[23,83],"characterises":[24],"switching":[26],"modes.":[27],"The":[28,42,107],"is":[30],"assumed":[31],"to":[32,57,118,138],"be":[33,58,88,110],"generated":[34],"by":[35],"an":[36],"arbitrary":[37],"number":[38],"parallel":[40],"hyperplanes.":[41],"main":[43],"results":[44,70,108],"obtained":[45,141],"are":[46,71,136],"necessary":[48],"and":[49,97,115],"sufficient":[50],"conditions":[51,99],"that":[52],"system":[54,86],"must":[55],"satisfy":[56],"reconstructible":[60,90],"whole":[63],"space.":[65],"Furthermore,":[66],"some":[67,104],"other":[68],"relevant":[69],"also":[72],"given,":[73],"such":[74],"as":[75,112],"characterisation":[77],"subsets":[79],"where":[84],"might":[87],"whereas":[91],"being":[92],"unreconstructible":[94],"anywhere":[95],"else;":[96],"discernibility/indiscernibility":[102],"in":[103],"particular":[105],"cases.":[106],"can":[109],"summarised":[111],"simple":[114],"easy":[116],"criterion":[117],"verify":[119],"property":[123],"considered":[126],"class":[127],"systems.":[129],"For":[130],"sake":[132],"clarity,":[134],"examples":[135],"included":[137],"illustrate":[139],"results.":[142]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
