{"id":"https://openalex.org/W2149338404","doi":"https://doi.org/10.1109/cca.2007.4389443","title":"Alignment Distance in Path Control","display_name":"Alignment Distance in Path Control","publication_year":2007,"publication_date":"2007-10-01","ids":{"openalex":"https://openalex.org/W2149338404","doi":"https://doi.org/10.1109/cca.2007.4389443","mag":"2149338404"},"language":"en","primary_location":{"id":"doi:10.1109/cca.2007.4389443","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2007.4389443","pdf_url":null,"source":{"id":"https://openalex.org/S4210212887","display_name":"\u0098The \u009cproceedings of the IEEE Conference on Control Applications/\u0098The \u009cproceedings of the ... IEEE Conference on Control Applications","issn_l":"1085-1992","issn":["1085-1992","2576-3210"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Conference on Control Applications","raw_type":"proceedings-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/A5074470274","display_name":"Nghia Tran","orcid":null},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nghia Tran","raw_affiliation_strings":["Brigham Young University, UT, USA"],"affiliations":[{"raw_affiliation_string":"Brigham Young University, UT, USA","institution_ids":["https://openalex.org/I100005738"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068167226","display_name":"Brandon Rohrer","orcid":null},"institutions":[{"id":"https://openalex.org/I4210104735","display_name":"Sandia National Laboratories","ror":"https://ror.org/01apwpt12","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I198811213","https://openalex.org/I4210104735"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brandon Rohrer","raw_affiliation_strings":["Intelligent Systems, Robotics and Cybernetics Group, Sandia National Laboratories, NM, USA"],"affiliations":[{"raw_affiliation_string":"Intelligent Systems, Robotics and Cybernetics Group, Sandia National Laboratories, NM, USA","institution_ids":["https://openalex.org/I4210104735"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010055271","display_name":"Sean Warnick","orcid":"https://orcid.org/0000-0001-5485-1909"},"institutions":[{"id":"https://openalex.org/I100005738","display_name":"Brigham Young University","ror":"https://ror.org/047rhhm47","country_code":"US","type":"education","lineage":["https://openalex.org/I100005738"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sean Warnick","raw_affiliation_strings":["Brigham Young University, UT, USA"],"affiliations":[{"raw_affiliation_string":"Brigham Young University, UT, USA","institution_ids":["https://openalex.org/I100005738"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074470274"],"corresponding_institution_ids":["https://openalex.org/I100005738"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20648148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1468","last_page":"1473"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9995999932289124,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9995999932289124,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.994700014591217,"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/T11749","display_name":"Iterative Learning Control Systems","score":0.992900013923645,"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/path","display_name":"Path (computing)","score":0.6994104385375977},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.687769889831543},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.6089342832565308},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5996053218841553},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5626003742218018},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.533950686454773},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4417080581188202},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.4355523884296417},{"id":"https://openalex.org/keywords/motion-planning","display_name":"Motion planning","score":0.4220760762691498},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.41597115993499756},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40428096055984497},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.37936604022979736},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37495630979537964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31863442063331604},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16235670447349548},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10622566938400269},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09055215120315552},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07234415411949158}],"concepts":[{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.6994104385375977},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.687769889831543},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.6089342832565308},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5996053218841553},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5626003742218018},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.533950686454773},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4417080581188202},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.4355523884296417},{"id":"https://openalex.org/C81074085","wikidata":"https://www.wikidata.org/wiki/Q366872","display_name":"Motion planning","level":3,"score":0.4220760762691498},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.41597115993499756},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40428096055984497},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37936604022979736},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37495630979537964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31863442063331604},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16235670447349548},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10622566938400269},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09055215120315552},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07234415411949158},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C90509273","wikidata":"https://www.wikidata.org/wiki/Q11012","display_name":"Robot","level":2,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","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":1,"locations":[{"id":"doi:10.1109/cca.2007.4389443","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cca.2007.4389443","pdf_url":null,"source":{"id":"https://openalex.org/S4210212887","display_name":"\u0098The \u009cproceedings of the IEEE Conference on Control Applications/\u0098The \u009cproceedings of the ... IEEE Conference on Control Applications","issn_l":"1085-1992","issn":["1085-1992","2576-3210"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 IEEE International Conference on Control Applications","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1581560749","https://openalex.org/W1974810035","https://openalex.org/W2118668722","https://openalex.org/W2121812725","https://openalex.org/W2124299914","https://openalex.org/W2154112977","https://openalex.org/W2163804974","https://openalex.org/W2168261576","https://openalex.org/W2346202710","https://openalex.org/W6684964283"],"related_works":["https://openalex.org/W4255837520","https://openalex.org/W2387011115","https://openalex.org/W2084086966","https://openalex.org/W4234808182","https://openalex.org/W2359600231","https://openalex.org/W2380019117","https://openalex.org/W3138952546","https://openalex.org/W1660309994","https://openalex.org/W2369187583","https://openalex.org/W3197207153"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,101],"discuss":[4],"alignment":[5,18,126],"distance":[6,19,26,127],"for":[7,31,131],"measuring":[8],"path":[9,34,79,98],"deviation":[10],"between":[11,114],"curves.":[12],"We":[13],"compare":[14],"properties":[15],"of":[16,39,44,124],"the":[17,24,93,103,111,125],"to":[20,27,49,109],"both":[21],"p-norms":[22],"and":[23,88,119],"Haus-dorff":[25],"argue":[28],"its":[29],"superiority":[30],"use":[32],"in":[33,81,97],"following":[35],"problems.":[36],"While":[37],"problems":[38],"finding":[40],"an":[41],"optimal":[42],"parameterization":[43,107],"a":[45,50,78,129,139],"fixed":[46],"input":[47],"curve":[48],"tracking":[51],"system":[52,68,120],"are":[53],"not":[54],"new,":[55],"typical":[56],"formulations":[57],"focus":[58],"on":[59,138],"parameterizations":[60],"that":[61,76],"minimize":[62],"transversal":[63],"time":[64],"while":[65],"respecting":[66],"certain":[67],"constraints;":[69],"on-line":[70],"governors":[71],"can":[72],"then":[73],"be":[74],"employed":[75],"choose":[77],"velocity":[80],"real":[82],"time,":[83],"trading":[84],"off":[85],"computational":[86],"complexity":[87],"time-optimality.":[89],"By":[90],"explicitly":[91],"characterizing":[92],"error":[94],"measure":[95],"implicit":[96],"control":[99],"problems,":[100],"revisit":[102],"off-line,":[104],"open":[105],"loop":[106],"problem":[108],"explore":[110],"inherit":[112],"tradeoffs":[113,135],"command":[115,117],"shape,":[116],"parameterization,":[118],"dynamics.":[121],"The":[122],"utility":[123],"as":[128],"tool":[130],"elucidating":[132],"these":[133],"fundamental":[134],"is":[136],"demonstrated":[137],"simple":[140],"PD-controlled":[141],"mass":[142],"system.":[143]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}