{"id":"https://openalex.org/W1588500107","doi":"https://doi.org/10.1109/acc.2015.7171938","title":"Computational methods for MIMO flat linear systems: Flat output characterization, test and tracking control","display_name":"Computational methods for MIMO flat linear systems: Flat output characterization, test and tracking control","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1588500107","doi":"https://doi.org/10.1109/acc.2015.7171938","mag":"1588500107"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7171938","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7171938","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","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/A5011843629","display_name":"Sze Zheng Yong","orcid":"https://orcid.org/0000-0002-2104-3128"},"institutions":[{"id":"https://openalex.org/I4210143601","display_name":"Decision Systems (United States)","ror":"https://ror.org/0434dpa13","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143601"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sze Zheng Yong","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, USA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077085643","display_name":"B. Paden","orcid":"https://orcid.org/0000-0001-7907-3605"},"institutions":[{"id":"https://openalex.org/I4210143601","display_name":"Decision Systems (United States)","ror":"https://ror.org/0434dpa13","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143601"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brian Paden","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, USA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029069358","display_name":"Emilio Frazzoli","orcid":null},"institutions":[{"id":"https://openalex.org/I4210143601","display_name":"Decision Systems (United States)","ror":"https://ror.org/0434dpa13","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143601"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Emilio Frazzoli","raw_affiliation_strings":["Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, USA#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, USA#TAB#","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9656,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.67476246,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"3898","last_page":"3904"},"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9988999962806702,"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":0.9987000226974487,"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/flatness","display_name":"Flatness (cosmology)","score":0.8681744933128357},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.8509261608123779},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.6812916994094849},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6092374324798584},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5411890745162964},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.523492693901062},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.5167795419692993},{"id":"https://openalex.org/keywords/canonical-form","display_name":"Canonical form","score":0.5137856602668762},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48830485343933105},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.46071016788482666},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4415448307991028},{"id":"https://openalex.org/keywords/trajectory","display_name":"Trajectory","score":0.436581015586853},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4338505268096924},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38706162571907043},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38203293085098267},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2294788956642151},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13978064060211182},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.11171898245811462}],"concepts":[{"id":"https://openalex.org/C2778530986","wikidata":"https://www.wikidata.org/wiki/Q5457948","display_name":"Flatness (cosmology)","level":3,"score":0.8681744933128357},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8509261608123779},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.6812916994094849},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6092374324798584},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5411890745162964},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.523492693901062},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.5167795419692993},{"id":"https://openalex.org/C204707403","wikidata":"https://www.wikidata.org/wiki/Q1152398","display_name":"Canonical form","level":2,"score":0.5137856602668762},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48830485343933105},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.46071016788482666},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4415448307991028},{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.436581015586853},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4338505268096924},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38706162571907043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38203293085098267},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2294788956642151},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13978064060211182},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.11171898245811462},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C26405456","wikidata":"https://www.wikidata.org/wiki/Q338","display_name":"Cosmology","level":2,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2015.7171938","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7171938","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W31234252","https://openalex.org/W48920821","https://openalex.org/W1513016807","https://openalex.org/W1966232946","https://openalex.org/W2018466653","https://openalex.org/W2065297540","https://openalex.org/W2112396687","https://openalex.org/W2112870751","https://openalex.org/W2125079402","https://openalex.org/W2153889160","https://openalex.org/W2156464932","https://openalex.org/W2159027556"],"related_works":["https://openalex.org/W2332386680","https://openalex.org/W1983142522","https://openalex.org/W1986570998","https://openalex.org/W2782529250","https://openalex.org/W2037921533","https://openalex.org/W2508171592","https://openalex.org/W2801563517","https://openalex.org/W2130864543","https://openalex.org/W1545878932","https://openalex.org/W2042029506"],"abstract_inverted_index":{"This":[0],"paper":[1],"is":[2,41,49],"concerned":[3],"with":[4],"the":[5,24,52],"study":[6],"of":[7,26,54],"flat":[8,50,55,79],"outputs":[9,56,80],"for":[10,43,94,101],"multiple-input-multiple-output":[11],"(MIMO)":[12],"controllable":[13],"linear":[14],"time-invariant":[15],"discrete-":[16],"and":[17,51,75,98],"continuous-time":[18],"systems":[19,103],"in":[20],"state-space":[21],"representation.":[22],"Leveraging":[23],"equivalence":[25],"flatness":[27],"to":[28,67,107,113],"an":[29,46],"estimation-theoretic":[30],"system":[31,83],"property":[32],"known":[33],"as":[34,71,73],"strong":[35],"observability,":[36],"a":[37,64,82,86],"quick":[38],"computational":[39,65],"test":[40],"developed":[42],"ascertaining":[44],"if":[45],"output":[47],"candidate":[48],"subspace":[53],"can":[57],"be":[58,114],"constructively":[59],"characterized.":[60],"Moreover,":[61],"we":[62],"propose":[63],"method":[66],"find":[68],"differentially":[69],"(continuous-time),":[70],"well":[72],"non-causal":[74],"causal":[76],"difference":[77],"(discrete-time)":[78],"via":[81],"transformation":[84],"into":[85],"special":[87],"control":[88,100],"canonical":[89],"form.":[90],"Finally,":[91],"design":[92],"principles":[93],"flatness-based":[95],"trajectory":[96],"planning":[97],"tracking":[99],"discrete-time":[102],"are":[104],"presented,":[105],"which":[106],"our":[108],"best":[109],"knowledge,":[110],"have":[111],"yet":[112],"successfully":[115],"demonstrated.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}