{"id":"https://openalex.org/W1614394540","doi":"https://doi.org/10.1109/coase.2015.7294289","title":"Modeling and control for (max, &amp;#x002B;)-linear systems with set-based constraints","display_name":"Modeling and control for (max, &amp;#x002B;)-linear systems with set-based constraints","publication_year":2015,"publication_date":"2015-08-01","ids":{"openalex":"https://openalex.org/W1614394540","doi":"https://doi.org/10.1109/coase.2015.7294289","mag":"1614394540"},"language":"en","primary_location":{"id":"doi:10.1109/coase.2015.7294289","is_oa":false,"landing_page_url":"https://doi.org/10.1109/coase.2015.7294289","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Automation Science and Engineering (CASE)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-01158144","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067455526","display_name":"Xavier David-Henriet","orcid":null},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]},{"id":"https://openalex.org/I4210115445","display_name":"Laboratoire Angevin de Recherche en Math\u00e9matiques","ror":"https://ror.org/036j0y719","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210115445","https://openalex.org/I4210141950","https://openalex.org/I49451733"]},{"id":"https://openalex.org/I4210127568","display_name":"Max Planck Institute for Dynamics of Complex Technical Systems","ror":"https://ror.org/030h7k016","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210127568"]},{"id":"https://openalex.org/I49451733","display_name":"Universit\u00e9 d'Angers","ror":"https://ror.org/04yrqp957","country_code":"FR","type":"education","lineage":["https://openalex.org/I49451733"]}],"countries":["DE","FR"],"is_corresponding":true,"raw_author_name":"Xavier David-Henriet","raw_affiliation_strings":["Control Systems Group, Technische Universit\u00e4t, Berlin, Germany","Laboratoire Angevin de Recherche en Ing\u00e9nierie des Syst\u00e8mes, Universit\u00e9 d'Angers, France","Systems and Control Theory Group, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Control Systems Group, Technische Universit\u00e4t, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Laboratoire Angevin de Recherche en Ing\u00e9nierie des Syst\u00e8mes, Universit\u00e9 d'Angers, France","institution_ids":["https://openalex.org/I4210115445","https://openalex.org/I49451733"]},{"raw_affiliation_string":"Systems and Control Theory Group, Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany","institution_ids":["https://openalex.org/I4210127568"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033002944","display_name":"J\u00f6rg Raisch","orcid":"https://orcid.org/0000-0002-8724-0773"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jorg Raisch","raw_affiliation_strings":["Control Systems Group, Technische Universit\u00e4t, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Control Systems Group, Technische Universit\u00e4t, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018924838","display_name":"Laurent Hardouin","orcid":"https://orcid.org/0000-0002-3480-5531"},"institutions":[{"id":"https://openalex.org/I49451733","display_name":"Universit\u00e9 d'Angers","ror":"https://ror.org/04yrqp957","country_code":"FR","type":"education","lineage":["https://openalex.org/I49451733"]},{"id":"https://openalex.org/I4210115445","display_name":"Laboratoire Angevin de Recherche en Math\u00e9matiques","ror":"https://ror.org/036j0y719","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210115445","https://openalex.org/I4210141950","https://openalex.org/I49451733"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Laurent Hardouin","raw_affiliation_strings":["Laboratoire Angevin de Recherche en Ing\u00e9nierie des Syst\u00e8mes, Universit\u00e9 d'Angers, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Angevin de Recherche en Ing\u00e9nierie des Syst\u00e8mes, Universit\u00e9 d'Angers, France","institution_ids":["https://openalex.org/I4210115445","https://openalex.org/I49451733"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028239602","display_name":"Bertrand Cottenceau","orcid":"https://orcid.org/0000-0002-9227-904X"},"institutions":[{"id":"https://openalex.org/I4210115445","display_name":"Laboratoire Angevin de Recherche en Math\u00e9matiques","ror":"https://ror.org/036j0y719","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210115445","https://openalex.org/I4210141950","https://openalex.org/I49451733"]},{"id":"https://openalex.org/I49451733","display_name":"Universit\u00e9 d'Angers","ror":"https://ror.org/04yrqp957","country_code":"FR","type":"education","lineage":["https://openalex.org/I49451733"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Bertrand Cottenceau","raw_affiliation_strings":["Laboratoire Angevin de Recherche en Ing\u00e9nierie des Syst\u00e8mes, Universit\u00e9 d'Angers, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire Angevin de Recherche en Ing\u00e9nierie des Syst\u00e8mes, Universit\u00e9 d'Angers, France","institution_ids":["https://openalex.org/I4210115445","https://openalex.org/I49451733"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5067455526"],"corresponding_institution_ids":["https://openalex.org/I4210115445","https://openalex.org/I4210127568","https://openalex.org/I4577782","https://openalex.org/I49451733"],"apc_list":null,"apc_paid":null,"fwci":0.3649,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63542882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1369","last_page":"1374"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11125","display_name":"Petri Nets in System Modeling","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9984999895095825,"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/T10142","display_name":"Formal Methods in Verification","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6344773769378662},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6199173927307129},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.6044830679893494},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5307638049125671},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5121240615844727},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4988231658935547},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49283432960510254},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.45497652888298035},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.41020405292510986},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3714708089828491},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3585895001888275},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35702595114707947},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3388046622276306},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33660274744033813},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3294129967689514},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1691749393939972},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10377150774002075},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10056400299072266},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08334434032440186}],"concepts":[{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6344773769378662},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6199173927307129},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.6044830679893494},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5307638049125671},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5121240615844727},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4988231658935547},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49283432960510254},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.45497652888298035},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.41020405292510986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3714708089828491},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3585895001888275},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35702595114707947},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3388046622276306},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33660274744033813},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3294129967689514},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1691749393939972},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10377150774002075},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10056400299072266},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08334434032440186},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/coase.2015.7294289","is_oa":false,"landing_page_url":"https://doi.org/10.1109/coase.2015.7294289","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Automation Science and Engineering (CASE)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-01158144v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01158144","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ieeexplore.ieee.org/document/7294289/","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01158144v1","is_oa":true,"landing_page_url":"https://hal.science/hal-01158144","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://ieeexplore.ieee.org/document/7294289/","raw_type":"Conference papers"},"sustainable_development_goals":[{"score":0.5400000214576721,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W900197620","https://openalex.org/W1976153921","https://openalex.org/W1985662530","https://openalex.org/W1991466857","https://openalex.org/W2070773973","https://openalex.org/W2102098378","https://openalex.org/W2139532837","https://openalex.org/W2145191352","https://openalex.org/W6680791631"],"related_works":["https://openalex.org/W2384522253","https://openalex.org/W4232526067","https://openalex.org/W4205874523","https://openalex.org/W2439220085","https://openalex.org/W2903061509","https://openalex.org/W1895699616","https://openalex.org/W2163861939","https://openalex.org/W2370851481","https://openalex.org/W2064234232","https://openalex.org/W75826713"],"abstract_inverted_index":{"We":[0],"consider":[1,126],"(max,":[2,104,118],"+)-linear":[3,105,119],"systems":[4,8,106],"(i.e.,":[5],"discrete":[6],"event":[7,22,35],"ruled":[9],"by":[10],"conditions":[11],"of":[12,21,29,34,68,111],"the":[13,51,108],"form:":[14],"\u201cfor":[15],"all":[16],"k":[17,20],"\u2265l,":[18],"occurrence":[19,32],"\u03b22":[23],"is":[24,87,114],"at":[25,60],"least":[26],"\u03c4":[27],"units":[28],"time":[30,61],"after":[31],"k-l":[33],"e":[36],"<sub":[37,46],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[38,47],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sub>":[39],"\u201d":[40],"with":[41,50,131],"\u03c4,":[42],"l":[43],"\u03f5":[44],"N":[45],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">0</sub>":[48],")":[49],"additional":[52],"restriction":[53],"that":[54],"certain":[55],"events":[56],"can":[57],"only":[58,84],"occur":[59,73],"instants":[62],"in":[63,74],"predefined":[64],"ultimately":[65],"periodic":[66],"sets":[67],"integers.":[69],"Such":[70],"phenomena":[71],"frequently":[72],"transportation":[75],"networks":[76],"(e.g.,":[77],"a":[78,81,127],"vehicle":[79],"passes":[80],"traffic":[82,129,132],"light":[83],"when":[85],"it":[86],"green).":[88],"In":[89],"this":[90],"paper,":[91],"we":[92,125],"extend":[93],"transfer":[94],"function":[95],"matrix":[96],"models":[97],"and":[98],"model":[99],"reference":[100],"control":[101],"developed":[102],"for":[103],"to":[107],"above":[109],"class":[110],"systems,":[112],"which":[113],"more":[115],"general":[116],"than":[117],"systems.":[120],"To":[121],"illustrate":[122],"these":[123],"results,":[124],"road":[128],"example":[130],"lights.":[133]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
