{"id":"https://openalex.org/W2979419513","doi":"https://doi.org/10.1145/3358229","title":"Robust Reachable Set","display_name":"Robust Reachable Set","publication_year":2019,"publication_date":"2019-10-08","ids":{"openalex":"https://openalex.org/W2979419513","doi":"https://doi.org/10.1145/3358229","mag":"2979419513"},"language":"en","primary_location":{"id":"doi:10.1145/3358229","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3358229","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3358229","source":{"id":"https://openalex.org/S136160450","display_name":"ACM Transactions on Embedded Computing Systems","issn_l":"1539-9087","issn":["1539-9087","1558-3465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Embedded Computing Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/3358229","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5069623823","display_name":"B. K. Ghosh","orcid":"https://orcid.org/0000-0002-1371-2803"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bineet Ghosh","raw_affiliation_strings":["University of North Carolina at Chapel Hill"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of North Carolina at Chapel Hill","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065269963","display_name":"Parasara Sridhar Duggirala","orcid":"https://orcid.org/0000-0002-8871-0298"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Parasara Sridhar Duggirala","raw_affiliation_strings":["University of North Carolina at Chapel Hill"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of North Carolina at Chapel Hill","institution_ids":["https://openalex.org/I114027177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I114027177"],"apc_list":null,"apc_paid":null,"fwci":1.2462,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.82132592,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"18","issue":"5s","first_page":"1","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9915000200271606,"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":0.9861999750137329,"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/set","display_name":"Set (abstract data type)","score":0.7351105213165283},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7295991778373718},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6543805003166199},{"id":"https://openalex.org/keywords/linear-dynamical-system","display_name":"Linear dynamical system","score":0.5605674982070923},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5586296319961548},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5229350328445435},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4867982566356659},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4851466119289398},{"id":"https://openalex.org/keywords/answer-set-programming","display_name":"Answer set programming","score":0.4729993939399719},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4635317623615265},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41571956872940063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.208012193441391}],"concepts":[{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.7351105213165283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7295991778373718},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6543805003166199},{"id":"https://openalex.org/C114275822","wikidata":"https://www.wikidata.org/wiki/Q621512","display_name":"Linear dynamical system","level":3,"score":0.5605674982070923},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5586296319961548},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5229350328445435},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4867982566356659},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4851466119289398},{"id":"https://openalex.org/C182620335","wikidata":"https://www.wikidata.org/wiki/Q2852531","display_name":"Answer set programming","level":3,"score":0.4729993939399719},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4635317623615265},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41571956872940063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.208012193441391},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3358229","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3358229","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3358229","source":{"id":"https://openalex.org/S136160450","display_name":"ACM Transactions on Embedded Computing Systems","issn_l":"1539-9087","issn":["1539-9087","1558-3465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Embedded Computing Systems","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3358229","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3358229","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/3358229","source":{"id":"https://openalex.org/S136160450","display_name":"ACM Transactions on Embedded Computing Systems","issn_l":"1539-9087","issn":["1539-9087","1558-3465"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Embedded Computing Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2061635520","display_name":"CPS: Small: Numerical and Symbolic Techniques for Verification and Synthesis of Cyber-Physical Systems","funder_award_id":"1935724","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6733397439","display_name":"CPS: Small: Numerical and Symbolic Techniques for Verification and Synthesis of Cyber-Physical Systems","funder_award_id":"1739936","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2979419513.pdf","grobid_xml":"https://content.openalex.org/works/W2979419513.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W53809769","https://openalex.org/W172589331","https://openalex.org/W193217886","https://openalex.org/W196021901","https://openalex.org/W618708471","https://openalex.org/W1505506151","https://openalex.org/W1522694098","https://openalex.org/W1569692898","https://openalex.org/W1580809199","https://openalex.org/W1599634084","https://openalex.org/W1923531552","https://openalex.org/W1998933206","https://openalex.org/W2020254113","https://openalex.org/W2055319245","https://openalex.org/W2131441094","https://openalex.org/W2135128809","https://openalex.org/W2138578830","https://openalex.org/W2158451642","https://openalex.org/W2176215692","https://openalex.org/W2418520011","https://openalex.org/W2501830452","https://openalex.org/W2573794469","https://openalex.org/W2578616199","https://openalex.org/W2579738600","https://openalex.org/W2911322355","https://openalex.org/W3105951489","https://openalex.org/W3195133498"],"related_works":["https://openalex.org/W1541871911","https://openalex.org/W2050811761","https://openalex.org/W2119813522","https://openalex.org/W2999509083","https://openalex.org/W2230606337","https://openalex.org/W2573078457","https://openalex.org/W2505854718","https://openalex.org/W2044696633","https://openalex.org/W2738494313","https://openalex.org/W2735833300"],"abstract_inverted_index":{"Reachable":[0],"set":[1,32,49,67,90,97],"computation":[2,33],"is":[3,149],"one":[4],"of":[5,12,68,81,91],"the":[6,18,30,36,39,46,137],"primary":[7],"techniques":[8],"for":[9,94,98,128],"safety":[10,107],"verification":[11,108],"linear":[13,69,100,118],"dynamical":[14,70,119],"systems.":[15],"In":[16],"reality":[17],"underlying":[19],"dynamics":[20,40],"have":[21],"uncertainties":[22,37,131],"like":[23],"parameter":[24],"variations":[25],"or":[26,53],"modeling":[27],"uncertainties.":[28,73],"Therefore,":[29],"reachable":[31,48,66,96,124],"must":[34],"consider":[35],"in":[38],"to":[41,64],"be":[42,51,103,110,134],"useful":[43],"i.e":[44],".":[45],"computed":[47,104],"should":[50],"over":[52],"under":[54],"approximation":[55],"if":[56],"not":[57],"exact.":[58],"This":[59],"paper":[60],"presents":[61],"a":[62,77,82,89,117],"technique":[63],"compute":[65,122],"systems":[71],"with":[72],"First,":[74],"we":[75,87,121],"introduce":[76],"construct":[78],"called":[79],"support":[80],"matrix.":[83],"Using":[84],"this":[85],"construct,":[86],"present":[88],"sufficient":[92,138],"conditions":[93,139],"which":[95,126],"uncertain":[99],"system":[101],"can":[102,109,133],"efficiently;":[105],"and":[106],"performed":[111],"using":[112],"bi-linear":[113],"programming.":[114],"Finally,":[115],"given":[116],"system,":[120],"robust":[123],"set,":[125],"accounts":[127],"all":[129],"possible":[130],"that":[132,146],"handled":[135],"by":[136],"presented.":[140],"Experimental":[141],"evaluation":[142],"on":[143],"benchmarks":[144],"reveal":[145],"our":[147],"algorithm":[148],"computationally":[150],"very":[151],"efficient.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":5}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}
