{"id":"https://openalex.org/W2175627263","doi":"https://doi.org/10.1109/cdc.2002.1184818","title":"Reachability under uncertainty","display_name":"Reachability under uncertainty","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W2175627263","doi":"https://doi.org/10.1109/cdc.2002.1184818","mag":"2175627263"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184818","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184818","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-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/A5109347019","display_name":"Alexander B. Kurzhanski","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["RU","US"],"is_corresponding":true,"raw_author_name":"A.B. Kurzhanski","raw_affiliation_strings":["EECS, ERL, University of California, Berkeley, CA, USA","Faculty of Computational Mathematics and Cybernetics, M.V.Lomonosov Moscow State University, Russia"],"affiliations":[{"raw_affiliation_string":"EECS, ERL, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"Faculty of Computational Mathematics and Cybernetics, M.V.Lomonosov Moscow State University, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040150415","display_name":"Pravin Varaiya","orcid":"https://orcid.org/0000-0002-1900-9932"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Varaiya","raw_affiliation_strings":["EECS, ERL, University of California, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"EECS, ERL, University of California, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109347019"],"corresponding_institution_ids":["https://openalex.org/I19880235","https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":1.6189,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.86824359,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2","issue":null,"first_page":"1982","last_page":"1987"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9983999729156494,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9983999729156494,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.996999979019165,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9962999820709229,"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":0.9614781141281128},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.6928331851959229},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.637669563293457},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5970369577407837},{"id":"https://openalex.org/keywords/stochastic-game","display_name":"Stochastic game","score":0.5063353776931763},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5031792521476746},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4703265428543091},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.46152371168136597},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4488723576068878},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.4399172365665436},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.4355931878089905},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42239201068878174},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.26086199283599854},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11776807904243469}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9614781141281128},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.6928331851959229},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.637669563293457},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5970369577407837},{"id":"https://openalex.org/C22171661","wikidata":"https://www.wikidata.org/wiki/Q1074380","display_name":"Stochastic game","level":2,"score":0.5063353776931763},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5031792521476746},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4703265428543091},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.46152371168136597},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4488723576068878},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.4399172365665436},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.4355931878089905},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42239201068878174},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.26086199283599854},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11776807904243469},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184818","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184818","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W13323531","https://openalex.org/W1512691241","https://openalex.org/W1558902221","https://openalex.org/W2009758296","https://openalex.org/W2019928135","https://openalex.org/W2030304678","https://openalex.org/W2100081348","https://openalex.org/W2127520982","https://openalex.org/W2209557103","https://openalex.org/W2796471654","https://openalex.org/W4249513058"],"related_works":["https://openalex.org/W2140816194","https://openalex.org/W4253760428","https://openalex.org/W2047831585","https://openalex.org/W3208672221","https://openalex.org/W3017277461","https://openalex.org/W2099490078","https://openalex.org/W4287199681","https://openalex.org/W59754694","https://openalex.org/W3172202899","https://openalex.org/W4224983736"],"abstract_inverted_index":{"The":[0,59,131],"paper":[1],"studies":[2],"the":[3,11,26,44,91,113,126,137],"problem":[4],"of":[5,13,28,39,68,73,88,93,125,139,141,151],"reachability":[6,40,55,104],"for":[7,53,144],"linear":[8],"systems":[9],"in":[10,31,100],"presence":[12],"uncertain":[14],"(unknown":[15],"but":[16],"bounded)":[17],"input":[18],"disturbances,":[19],"which":[20],"may":[21,119],"also":[22],"be":[23,120],"interpreted":[24],"as":[25],"action":[27],"an":[29],"adversary":[30],"a":[32,123],"game-theoretic":[33],"setting.":[34],"It":[35,109],"defines":[36],"possible":[37],"notions":[38,87],"under":[41,105,117],"uncertainty":[42,118],"emphasizing":[43],"differences":[45],"between":[46],"open-loop":[47,80],"and":[48,76,84],"closed-loop":[49,114],"control.":[50,108,152],"Solution":[51],"schemes":[52],"calculating":[54],"sets":[56,116],"are":[57,134],"indicated.":[58],"situation":[60],"when":[61],"observations":[62],"arrive":[63],"at":[64],"given":[65],"isolated":[66],"instances":[67],"time":[69],"leads":[70],"to":[71,85,96,103],"problems":[72,150],"anticipative":[74],"(maxmin)":[75],"nonanticipative":[77,106],"(minmax)":[78],"piecewise":[79],"control":[81],"with":[82],"corrections":[83,94],"corresponding":[86],"reachability.":[89],"As":[90],"number":[92],"tends":[95],"infinity,":[97],"one":[98],"comes":[99],"both":[101],"cases":[102],"feedback":[107],"is":[110],"shown":[111],"that":[112],"reach":[115],"found":[121],"through":[122,136],"solution":[124],"forward":[127],"Hamilton-Jacobi-Bellman-Isaacs":[128],"(HJBI)":[129],"equation.":[130],"basic":[132],"relations":[133],"derived":[135],"investigation":[138],"superpositions":[140],"value":[142],"functions":[143],"appropriate":[145],"sequential":[146],"maxmin":[147],"or":[148],"minmax":[149]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}