{"id":"https://openalex.org/W4310632773","doi":"https://doi.org/10.48550/arxiv.2212.00679","title":"Formal Controller Synthesis for Markov Jump Linear Systems with Uncertain Dynamics","display_name":"Formal Controller Synthesis for Markov Jump Linear Systems with Uncertain Dynamics","publication_year":2022,"publication_date":"2022-12-01","ids":{"openalex":"https://openalex.org/W4310632773","doi":"https://doi.org/10.48550/arxiv.2212.00679"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2212.00679","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2212.00679","pdf_url":"https://arxiv.org/pdf/2212.00679","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2212.00679","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029902798","display_name":"Luke Rickard","orcid":"https://orcid.org/0000-0002-9192-9186"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rickard, Luke","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073020318","display_name":"Thom Badings","orcid":"https://orcid.org/0000-0002-5235-1967"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Badings, Thom","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011771160","display_name":"Licio Romao","orcid":"https://orcid.org/0000-0002-5716-6162"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Romao, Licio","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5091718585","display_name":"Alessandro Abate","orcid":"https://orcid.org/0000-0002-5627-9093"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Abate, Alessandro","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9976000189781189,"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":0.9976000189781189,"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/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9664999842643738,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9480999708175659,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.646062970161438},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.582383394241333},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5822194218635559},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5530878305435181},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5369738340377808},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5010673999786377},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.49884748458862305},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.487016499042511},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4708159565925598},{"id":"https://openalex.org/keywords/abstraction","display_name":"Abstraction","score":0.4329334497451782},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3387749493122101},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09880417585372925}],"concepts":[{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.646062970161438},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.582383394241333},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5822194218635559},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5530878305435181},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5369738340377808},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5010673999786377},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.49884748458862305},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.487016499042511},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4708159565925598},{"id":"https://openalex.org/C124304363","wikidata":"https://www.wikidata.org/wiki/Q673661","display_name":"Abstraction","level":2,"score":0.4329334497451782},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3387749493122101},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09880417585372925},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2212.00679","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2212.00679","pdf_url":"https://arxiv.org/pdf/2212.00679","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2212.00679","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2212.00679","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2212.00679","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2212.00679","pdf_url":"https://arxiv.org/pdf/2212.00679","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5899999737739563,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4388236136","https://openalex.org/W2807018115","https://openalex.org/W4200250224","https://openalex.org/W2126560268","https://openalex.org/W273478400","https://openalex.org/W2285658092","https://openalex.org/W187740018","https://openalex.org/W2482498454","https://openalex.org/W2162286586","https://openalex.org/W2947128950"],"abstract_inverted_index":{"Automated":[0],"synthesis":[1],"of":[2,43,63,67,94,126,143],"provably":[3],"correct":[4],"controllers":[5,34],"for":[6,11,32,35,46,138],"cyber-physical":[7,47],"systems":[8,39],"is":[9,109],"crucial":[10],"deployment":[12],"in":[13,155,169],"safety-critical":[14],"scenarios.":[15],"However,":[16],"hybrid":[17],"features":[18],"and":[19,71,121,174],"stochastic":[20,68],"or":[21,104],"unknown":[22],"behaviours":[23],"make":[24],"this":[25,95,131],"problem":[26],"challenging.":[27],"We":[28,86,129,160],"propose":[29],"a":[30,41,64,81,112,156,171],"method":[31,163],"synthesising":[33],"Markov":[36,82],"jump":[37],"linear":[38,69],"(MJLSs),":[40],"class":[42],"discrete-time":[44],"models":[45],"systems,":[48],"so":[49],"that":[50,77,115],"they":[51],"certifiably":[52],"satisfy":[53],"probabilistic":[54],"computation":[55],"tree":[56],"logic":[57],"(PCTL)":[58],"formulae.":[59],"An":[60],"MJLS":[61],"consists":[62],"finite":[65],"set":[66],"dynamics":[70,76],"discrete":[72,119],"jumps":[73],"between":[74],"these":[75],"are":[78,97],"governed":[79],"by":[80],"decision":[83],"process":[84],"(MDP).":[85],"consider":[87],"the":[88,91,118,127,150],"cases":[89],"where":[90],"transition":[92,144],"probabilities":[93,145],"MDP":[96,136],"either":[98],"known":[99],"up":[100],"to":[101,164],"an":[102,134,175],"interval":[103,135],"completely":[105],"unknown.":[106],"Our":[107],"approach":[108],"based":[110],"on":[111],"finite-state":[113],"abstraction":[114,132],"captures":[116],"both":[117],"(mode-jumping)":[120],"continuous":[122],"(stochastic":[123],"linear)":[124],"behaviour":[125],"MJLS.":[128],"formalise":[130],"as":[133],"(iMDP)":[137],"which":[139],"we":[140],"compute":[141],"intervals":[142],"using":[146],"sampling":[147],"techniques":[148],"from":[149],"so-called":[151],"'scenario":[152],"approach',":[153],"resulting":[154],"probabilistically":[157],"sound":[158],"approximation.":[159],"apply":[161],"our":[162],"multiple":[165],"realistic":[166],"benchmark":[167],"problems,":[168],"particular,":[170],"temperature":[172],"control":[173],"aerial":[176],"vehicle":[177],"delivery":[178],"problem.":[179]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2022-12-13T00:00:00"}