{"id":"https://openalex.org/W2172919882","doi":"https://doi.org/10.1137/s0363012999354648","title":"Optimal Control of a Class of Linear Hybrid Systems with Saturation","display_name":"Optimal Control of a Class of Linear Hybrid Systems with Saturation","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2172919882","doi":"https://doi.org/10.1137/s0363012999354648","mag":"2172919882"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012999354648","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012999354648","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5026547410","display_name":"Bart De Schutter","orcid":"https://orcid.org/0000-0001-9867-6196"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bart De Schutter","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5026547410"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":11.8379,"has_fulltext":false,"cited_by_count":67,"citation_normalized_percentile":{"value":0.98521873,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"39","issue":"3","first_page":"835","last_page":"851"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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"}},"topics":[{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","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"}},{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.991599977016449,"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9865999817848206,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/queue","display_name":"Queue","score":0.6980734467506409},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6415407657623291},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.6192759275436401},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6078529953956604},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5168319344520569},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5059971213340759},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5042456388473511},{"id":"https://openalex.org/keywords/saturation","display_name":"Saturation (graph theory)","score":0.4832976162433624},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4716096520423889},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.44342249631881714},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.285400390625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2531589865684509},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10498806834220886}],"concepts":[{"id":"https://openalex.org/C160403385","wikidata":"https://www.wikidata.org/wiki/Q220543","display_name":"Queue","level":2,"score":0.6980734467506409},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6415407657623291},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.6192759275436401},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6078529953956604},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5168319344520569},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5059971213340759},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5042456388473511},{"id":"https://openalex.org/C9930424","wikidata":"https://www.wikidata.org/wiki/Q7426587","display_name":"Saturation (graph theory)","level":2,"score":0.4832976162433624},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4716096520423889},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.44342249631881714},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.285400390625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2531589865684509},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10498806834220886},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0363012999354648","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012999354648","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W32452329","https://openalex.org/W576913109","https://openalex.org/W1577238357","https://openalex.org/W1900127520","https://openalex.org/W1986922155","https://openalex.org/W1987345131","https://openalex.org/W2000151369","https://openalex.org/W2029380278","https://openalex.org/W2063320018","https://openalex.org/W2068726470","https://openalex.org/W2073787051","https://openalex.org/W2076110712","https://openalex.org/W2104292418","https://openalex.org/W4210998745","https://openalex.org/W4254492702"],"related_works":["https://openalex.org/W1892002403","https://openalex.org/W4309005041","https://openalex.org/W2962746246","https://openalex.org/W1989531755","https://openalex.org/W1967384683","https://openalex.org/W1964887314","https://openalex.org/W2109307142","https://openalex.org/W2107423006","https://openalex.org/W3149705110","https://openalex.org/W2887982189"],"abstract_inverted_index":{"We":[0,79,222],"consider":[1],"a":[2,36,40,71,74,126,141],"class":[3,18],"of":[4,32,63,69,137,140,154],"first":[5,89,142],"order":[6,90,143],"linear":[7,37,91,120,144],"hybrid":[8,92,145],"systems":[9,93],"with":[10,94,147],"saturation.":[11,148],"A":[12,66],"system":[13,34,72,138,146],"that":[14,51,57,96,199,227,234],"belongs":[15],"to":[16,82,133,180,190,229,245],"this":[17,165],"can":[19,130,217,235],"operate":[20],"in":[21,26,177],"several":[22],"modes":[23],"or":[24,43],"phases;":[25],"each":[27,29],"phase":[28],"state":[30,53],"variable":[31,54],"the":[33,52,61,64,118,135,151,155,211],"exhibits":[35],"growth":[38],"until":[39,60],"specified":[41],"upper":[42,204],"lower":[44],"saturation":[45,58,95],"level":[46,59],"is":[47,73,125,174,202],"reached,":[48],"and":[49,111],"after":[50],"stays":[55],"at":[56],"end":[62],"phase.":[65],"typical":[67],"example":[68],"such":[70,99],"traffic":[75,252],"signal":[76,253],"controlled":[77,254],"intersection.":[78],"develop":[80],"methods":[81,189],"determine":[83],"optimal":[84,160,169,213,247],"switching":[85,161,170,193,214,231,248],"time":[86,162,171,194,215,232,249],"sequences":[87,233,250],"for":[88,207,251],"minimize":[97],"criteria":[98],"as":[100],"average":[101,108],"queue":[102,106],"length,":[103,107],"worst":[104],"case":[105],"waiting":[109],"time,":[110],"so":[112],"on.":[113],"First":[114],"we":[115,185,197,241],"show":[116,198],"how":[117],"extended":[119],"complementarity":[121],"problem":[122],"(ELCP),":[123],"which":[124],"mathematical":[127],"programming":[128],"problem,":[129],"be":[131,218,236],"used":[132],"describe":[134],"set":[136,153],"trajectories":[139],"Optimization":[149],"over":[150],"solution":[152],"ELCP":[156],"then":[157,206],"yields":[158,167],"an":[159],"sequence.":[163],"Although":[164],"method":[166],"globally":[168,212],"sequences,":[172],"it":[173],"not":[175],"feasible":[176],"practice":[178],"due":[179],"its":[181],"computational":[182],"complexity.":[183],"Therefore,":[184],"also":[186,223],"present":[187],"some":[188,208,225],"compute":[191],"suboptimal":[192,230],"sequences.":[195],"Furthermore,":[196],"if":[200],"there":[201],"no":[203],"saturation,":[205],"objective":[209],"functions":[210],"sequence":[216],"computed":[219,237],"very":[220,238],"efficiently.":[221,239],"discuss":[224],"approximations":[226],"lead":[228],"Finally,":[240],"use":[242],"these":[243],"results":[244],"design":[246],"intersections.":[255]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":2}],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}
