{"id":"https://openalex.org/W3174000287","doi":"https://doi.org/10.1109/tac.2021.3090525","title":"SMT-Based Reachability Analysis of High Dimensional Interval Max-Plus Linear Systems","display_name":"SMT-Based Reachability Analysis of High Dimensional Interval Max-Plus Linear Systems","publication_year":2021,"publication_date":"2021-06-18","ids":{"openalex":"https://openalex.org/W3174000287","doi":"https://doi.org/10.1109/tac.2021.3090525","mag":"3174000287"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3090525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3090525","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5112655709","display_name":"Muhammad Syifaaul Mufid","orcid":null},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Muhammad Syifaaul Mufid","raw_affiliation_strings":["Department of Computer Science, University of Oxford, Oxford, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Oxford, Oxford, U.K","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015282142","display_name":"Dieky Adzkiya","orcid":"https://orcid.org/0000-0002-4718-2871"},"institutions":[{"id":"https://openalex.org/I166843116","display_name":"Sepuluh Nopember Institute of Technology","ror":"https://ror.org/05kbmmt89","country_code":"ID","type":"education","lineage":["https://openalex.org/I166843116"]}],"countries":["ID"],"is_corresponding":false,"raw_author_name":"Dieky Adzkiya","raw_affiliation_strings":["Department of Mathematics, Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Institut Teknologi Sepuluh Nopember, Surabaya, Indonesia","institution_ids":["https://openalex.org/I166843116"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091718585","display_name":"Alessandro Abate","orcid":"https://orcid.org/0000-0002-5627-9093"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Alessandro Abate","raw_affiliation_strings":["Department of Computer Science, University of Oxford, Oxford, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Oxford, Oxford, U.K","institution_ids":["https://openalex.org/I40120149"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112655709"],"corresponding_institution_ids":["https://openalex.org/I40120149"],"apc_list":null,"apc_paid":null,"fwci":0.7399,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.74750866,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"67","issue":"6","first_page":"2700","last_page":"2714"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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/T10142","display_name":"Formal Methods in Verification","score":0.9995999932289124,"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/T11005","display_name":"Radiation Effects in Electronics","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11125","display_name":"Petri Nets in System Modeling","score":0.9979000091552734,"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/reachability","display_name":"Reachability","score":0.8266574144363403},{"id":"https://openalex.org/keywords/satisfiability-modulo-theories","display_name":"Satisfiability modulo theories","score":0.7020353078842163},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5993083715438843},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5140427350997925},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5122382044792175},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5057182312011719},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4781566560268402},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.46444278955459595},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46216627955436707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43084388971328735},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.42390814423561096},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4208322763442993},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41772839426994324},{"id":"https://openalex.org/keywords/linear-algebra","display_name":"Linear algebra","score":0.41297098994255066},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.4118531346321106},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38749003410339355},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.382296621799469},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.22580766677856445}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.8266574144363403},{"id":"https://openalex.org/C164155591","wikidata":"https://www.wikidata.org/wiki/Q2067766","display_name":"Satisfiability modulo theories","level":2,"score":0.7020353078842163},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5993083715438843},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5140427350997925},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5122382044792175},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5057182312011719},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4781566560268402},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.46444278955459595},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46216627955436707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43084388971328735},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.42390814423561096},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4208322763442993},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41772839426994324},{"id":"https://openalex.org/C139352143","wikidata":"https://www.wikidata.org/wiki/Q82571","display_name":"Linear algebra","level":2,"score":0.41297098994255066},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.4118531346321106},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38749003410339355},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.382296621799469},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.22580766677856445},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2021.3090525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3090525","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W100449171","https://openalex.org/W188319126","https://openalex.org/W221832247","https://openalex.org/W1128447031","https://openalex.org/W1480909796","https://openalex.org/W1481397690","https://openalex.org/W1482233117","https://openalex.org/W1483783534","https://openalex.org/W1488686801","https://openalex.org/W1974274514","https://openalex.org/W1991466857","https://openalex.org/W2008518517","https://openalex.org/W2023599497","https://openalex.org/W2027649310","https://openalex.org/W2034395549","https://openalex.org/W2060133892","https://openalex.org/W2072508748","https://openalex.org/W2112270409","https://openalex.org/W2157056800","https://openalex.org/W2343349698","https://openalex.org/W2412589610","https://openalex.org/W2428690953","https://openalex.org/W2594877703","https://openalex.org/W2757183019","https://openalex.org/W2807366156","https://openalex.org/W2808910339","https://openalex.org/W2884958048","https://openalex.org/W2951593389","https://openalex.org/W2963977175","https://openalex.org/W3163100993","https://openalex.org/W3203995261","https://openalex.org/W4249885861"],"related_works":["https://openalex.org/W2578463151","https://openalex.org/W2275420537","https://openalex.org/W1483783534","https://openalex.org/W4379142300","https://openalex.org/W4386723279","https://openalex.org/W2048447692","https://openalex.org/W583460537","https://openalex.org/W2884361050","https://openalex.org/W2497502077","https://openalex.org/W2505717744"],"abstract_inverted_index":{"This":[0],"article":[1],"discusses":[2],"the":[3,21,30,59,68,73,85,103,122],"reachability":[4],"analysis":[5],"(RA)":[6],"of":[7,15,61,105,121],"interval":[8],"max-plus":[9,22,26],"linear":[10,27,96],"(IMPL)":[11],"systems,":[12,28,137],"a":[13,51,106,111],"subclass":[14],"continuous-space,":[16],"discrete-event":[17],"systems":[18,40],"defined":[19],"over":[20],"algebra.":[23],"Unlike":[24],"standard":[25],"where":[29],"transition":[31],"matrix":[32],"is":[33],"fixed":[34],"at":[35],"each":[36],"discrete":[37],"step,":[38],"IMPL":[39,62,86,136,147],"allow":[41],"for":[42],"uncertainty":[43],"on":[44],"state":[45],"matrices.":[46],"Given":[47],"an":[48],"initial":[49,69,91],"and":[50,92,100,119],"target":[52,74,93],"set,":[53,70],"we":[54],"develop":[55],"algorithms":[56,125,133],"to":[57,128,135,140],"verify":[58],"existence":[60],"system":[63],"trajectories":[64],"that,":[65],"starting":[66],"from":[67],"eventually":[71],"reach":[72],"set.":[75],"We":[76],"show":[77],"that":[78],"RA":[79,132],"can":[80],"be":[81],"solved":[82],"by":[83],"encoding":[84],"system,":[87],"as":[88,90],"well":[89],"sets,":[94],"into":[95],"real":[97],"arithmetic":[98],"expressions,":[99],"then":[101],"checking":[102],"satisfaction":[104],"resulting":[107],"logical":[108],"formula":[109],"via":[110],"satisfiability":[112],"modulo":[113],"theory":[114],"(SMT)":[115],"solver.":[116],"The":[117],"performance":[118],"scalability":[120],"developed":[123],"SMT-based":[124],"are":[126],"shown":[127],"drastically":[129],"outperform":[130],"state-of-the-art":[131],"applied":[134],"which":[138],"promises":[139],"usher":[141],"their":[142],"use":[143],"in":[144],"practical,":[145],"industrial-sized":[146],"models.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
