{"id":"https://openalex.org/W2023496349","doi":"https://doi.org/10.1109/mmar.2013.6669891","title":"Solving multicriteria optimal control problems with Reference Multifunctions","display_name":"Solving multicriteria optimal control problems with Reference Multifunctions","publication_year":2013,"publication_date":"2013-08-01","ids":{"openalex":"https://openalex.org/W2023496349","doi":"https://doi.org/10.1109/mmar.2013.6669891","mag":"2023496349"},"language":"en","primary_location":{"id":"doi:10.1109/mmar.2013.6669891","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2013.6669891","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 18th International Conference on Methods &amp; Models in Automation &amp; Robotics (MMAR)","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/A5016029586","display_name":"Andrzej M. J. Skulimowski","orcid":"https://orcid.org/0000-0003-0646-2858"},"institutions":[{"id":"https://openalex.org/I686019","display_name":"AGH University of Krakow","ror":"https://ror.org/00bas1c41","country_code":"PL","type":"education","lineage":["https://openalex.org/I686019"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Andrzej M. J. Skulimowski","raw_affiliation_strings":["Department of Automatic Control and Biomedical Engineering, Decision Sciences Laboratory, Krakow, Poland","Dept. of Autom. Control & Biomed. Eng., AGH Univ. of Sci. & Technol., Krakow, Poland"],"affiliations":[{"raw_affiliation_string":"Department of Automatic Control and Biomedical Engineering, Decision Sciences Laboratory, Krakow, Poland","institution_ids":[]},{"raw_affiliation_string":"Dept. of Autom. Control & Biomed. Eng., AGH Univ. of Sci. & Technol., Krakow, Poland","institution_ids":["https://openalex.org/I686019"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5016029586"],"corresponding_institution_ids":["https://openalex.org/I686019"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.10381724,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"115","last_page":"120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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/T10791","display_name":"Advanced Control Systems Optimization","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/T10876","display_name":"Fault Detection and Control Systems","score":0.9972000122070312,"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":0.9948999881744385,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.6589511632919312},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6216660737991333},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.5891924500465393},{"id":"https://openalex.org/keywords/selection","display_name":"Selection (genetic algorithm)","score":0.5576537847518921},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5432994365692139},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.4959143102169037},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.47221142053604126},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.46331194043159485},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4628564119338989},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45205989480018616},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.43096688389778137},{"id":"https://openalex.org/keywords/ordinary-differential-equation","display_name":"Ordinary differential equation","score":0.42793920636177063},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32202044129371643},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.27563613653182983},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18966364860534668},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06846165657043457}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6589511632919312},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6216660737991333},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.5891924500465393},{"id":"https://openalex.org/C81917197","wikidata":"https://www.wikidata.org/wiki/Q628760","display_name":"Selection (genetic algorithm)","level":2,"score":0.5576537847518921},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5432994365692139},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.4959143102169037},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.47221142053604126},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.46331194043159485},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4628564119338989},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45205989480018616},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.43096688389778137},{"id":"https://openalex.org/C51544822","wikidata":"https://www.wikidata.org/wiki/Q465274","display_name":"Ordinary differential equation","level":3,"score":0.42793920636177063},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32202044129371643},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.27563613653182983},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18966364860534668},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06846165657043457},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/mmar.2013.6669891","is_oa":false,"landing_page_url":"https://doi.org/10.1109/mmar.2013.6669891","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 18th International Conference on Methods &amp; Models in Automation &amp; Robotics (MMAR)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.800000011920929,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W180708630","https://openalex.org/W183907197","https://openalex.org/W418139701","https://openalex.org/W966414723","https://openalex.org/W1514218977","https://openalex.org/W1975130981","https://openalex.org/W1980852127","https://openalex.org/W1996983632","https://openalex.org/W2079269385","https://openalex.org/W2084166574","https://openalex.org/W2092187878","https://openalex.org/W4233979879","https://openalex.org/W6614495843"],"related_works":["https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2369178846","https://openalex.org/W2370289839","https://openalex.org/W2082716031","https://openalex.org/W2933494595","https://openalex.org/W4313347705","https://openalex.org/W1568049691","https://openalex.org/W1590096425","https://openalex.org/W2138713378"],"abstract_inverted_index":{"This":[0,57],"paper":[1],"presents":[2],"the":[3,22,47,53,67,89],"theoretical":[4],"foundations":[5],"of":[6,25,39,46,82],"decision":[7],"rule":[8],"selection":[9],"for":[10,21,84],"dynamic":[11],"multicriteria":[12,119],"decision-making":[13],"problems.":[14],"Specifically,":[15],"we":[16,41],"will":[17,42],"propose":[18],"solution":[19],"methods":[20],"optimal":[23],"control":[24,122],"complex":[26],"systems":[27],"governed":[28],"by":[29,101],"ordinary":[30],"differential":[31],"equations":[32],"with":[33],"vector-valued":[34],"criteria.":[35],"For":[36],"this":[37],"class":[38],"system":[40],"define":[43,91],"an":[44,108],"extension":[45],"Multiple":[48],"Reference":[49,54],"Points":[50],"method,":[51],"termed":[52],"Multifunction":[55],"approach.":[56],"preference":[58],"structure":[59],"is":[60],"derived":[61],"from":[62],"time-varying":[63],"reference":[64],"values":[65],"in":[66,107,117],"criteria":[68],"space.":[69],"They":[70],"can":[71,114],"be":[72,115],"interpreted":[73],"as":[74],"evolving":[75],"targets,":[76],"criteria-space":[77,86],"constraints,":[78],"or":[79],"varying":[80],"regions":[81],"avoidance":[83],"admissible":[85],"trajectories.":[87],"All":[88],"above":[90,112],"a":[92,118],"time-dependent":[93],"multifunction":[94],"allowing":[95],"us":[96],"to":[97,104],"find":[98],"compromise":[99],"controls":[100],"distance":[102],"minimization":[103],"its":[105],"selectors,":[106],"adaptive":[109],"way.":[110],"The":[111],"approach":[113],"applied":[116],"model":[120],"predictive":[121],"framework.":[123]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
