{"id":"https://openalex.org/W2158884463","doi":"https://doi.org/10.1109/acc.2014.6859302","title":"Finite-horizon controllability and reachability for deterministic and stochastic linear control systems with convex constraints","display_name":"Finite-horizon controllability and reachability for deterministic and stochastic linear control systems with convex constraints","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2158884463","doi":"https://doi.org/10.1109/acc.2014.6859302","mag":"2158884463"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2014.6859302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6859302","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","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/A5057333853","display_name":"Daniel Dueri","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Dueri","raw_affiliation_strings":["University of Texas at Austin, Austin, TX, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Austin, Austin, TX, US","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044772884","display_name":"Beh\u00e7et A\u00e7\u0131kme\u015fe","orcid":"https://orcid.org/0000-0002-8693-8109"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Behcet Acikmese","raw_affiliation_strings":["University of Texas at Austin, Austin, TX, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Austin, Austin, TX, US","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085203814","display_name":"Morgan Baldwin","orcid":null},"institutions":[{"id":"https://openalex.org/I1280414376","display_name":"United States Air Force Research Laboratory","ror":"https://ror.org/02e2egq70","country_code":"US","type":"facility","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4389425425"]},{"id":"https://openalex.org/I4388482673","display_name":"U.S. Air Force Research Laboratory Information Directorate","ror":"https://ror.org/00z65zs77","country_code":null,"type":"government","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4388482673","https://openalex.org/I4389425425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Morgan Baldwin","raw_affiliation_strings":["Air Force Research Laboratory Information Directorate, Rome, NY, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Force Research Laboratory Information Directorate, Rome, NY, US","institution_ids":["https://openalex.org/I1280414376","https://openalex.org/I4388482673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017334668","display_name":"R. Scott Erwin","orcid":"https://orcid.org/0000-0002-2838-8823"},"institutions":[{"id":"https://openalex.org/I1280414376","display_name":"United States Air Force Research Laboratory","ror":"https://ror.org/02e2egq70","country_code":"US","type":"facility","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4389425425"]},{"id":"https://openalex.org/I4388482673","display_name":"U.S. Air Force Research Laboratory Information Directorate","ror":"https://ror.org/00z65zs77","country_code":null,"type":"government","lineage":["https://openalex.org/I1280414376","https://openalex.org/I1330347796","https://openalex.org/I4210102105","https://openalex.org/I4388482673","https://openalex.org/I4389425425"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard S. Erwin","raw_affiliation_strings":["Air Force Research Laboratory Information Directorate, Rome, NY, US"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Air Force Research Laboratory Information Directorate, Rome, NY, US","institution_ids":["https://openalex.org/I1280414376","https://openalex.org/I4388482673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0519,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.88759312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"5016","last_page":"5023"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9979000091552734,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9979000091552734,"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/T11082","display_name":"Spacecraft Dynamics and Control","score":0.9933000206947327,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9729999899864197,"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/reachability","display_name":"Reachability","score":0.6563707590103149},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.6405471563339233},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6369196176528931},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.5955380201339722},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4798252582550049},{"id":"https://openalex.org/keywords/trajectory-optimization","display_name":"Trajectory optimization","score":0.4402908682823181},{"id":"https://openalex.org/keywords/interior-point-method","display_name":"Interior point method","score":0.4218416213989258},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4208185374736786},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.4189777970314026},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.41693365573883057},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.41179999709129333},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4059426486492157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4032779037952423},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3836050033569336},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.29475629329681396},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.2490639090538025},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.17307642102241516},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1639951467514038}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.6563707590103149},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.6405471563339233},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6369196176528931},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.5955380201339722},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4798252582550049},{"id":"https://openalex.org/C173246807","wikidata":"https://www.wikidata.org/wiki/Q7833062","display_name":"Trajectory optimization","level":3,"score":0.4402908682823181},{"id":"https://openalex.org/C155253501","wikidata":"https://www.wikidata.org/wiki/Q461992","display_name":"Interior point method","level":2,"score":0.4218416213989258},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4208185374736786},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.4189777970314026},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.41693365573883057},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.41179999709129333},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4059426486492157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4032779037952423},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3836050033569336},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.29475629329681396},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.2490639090538025},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.17307642102241516},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1639951467514038},{"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/acc.2014.6859302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2014.6859302","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 American Control Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1039545020","https://openalex.org/W1546612351","https://openalex.org/W1632601927","https://openalex.org/W1990723703","https://openalex.org/W1993552276","https://openalex.org/W1999131722","https://openalex.org/W2001076402","https://openalex.org/W2004692337","https://openalex.org/W2012811607","https://openalex.org/W2021748044","https://openalex.org/W2052862714","https://openalex.org/W2067778155","https://openalex.org/W2071676345","https://openalex.org/W2085744412","https://openalex.org/W2087152401","https://openalex.org/W2097148013","https://openalex.org/W2116773335","https://openalex.org/W2139322073","https://openalex.org/W2161701342","https://openalex.org/W2313927544","https://openalex.org/W2319383227","https://openalex.org/W2972640346","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W6626951533","https://openalex.org/W6663650563"],"related_works":["https://openalex.org/W3125179639","https://openalex.org/W2079260672","https://openalex.org/W1968926137","https://openalex.org/W2094757704","https://openalex.org/W2364261631","https://openalex.org/W1971720918","https://openalex.org/W2052529091","https://openalex.org/W2410228078","https://openalex.org/W2374289070","https://openalex.org/W211549749"],"abstract_inverted_index":{"This":[0,101],"paper":[1],"presents":[2],"a":[3,34,42,71,119,146],"method":[4,120],"for":[5,12,121,145],"rapidly":[6],"generating":[7],"controllability":[8,143],"and":[9,39,125],"reachability":[10],"sets":[11],"constrained":[13,86],"finite":[14],"horizon":[15],"Linear":[16],"Time":[17],"Varying":[18],"(LTV)":[19],"control":[20,87],"systems":[21],"by":[22,31,133],"using":[23,159],"convex":[24,54],"optimization":[25,55],"techniques.":[26],"Set":[27],"generation":[28],"is":[29,103,131,157],"accomplished":[30],"first":[32,75],"solving":[33,41],"Semi-Definite":[35],"Programming":[36,48],"(SDP)":[37],"problem":[38,153],"then":[40,89],"series":[43],"of":[44,94,97,114],"Second":[45],"Order":[46],"Cone":[47],"(SOCP)":[49],"problems.":[50],"Recent":[51],"advances":[52],"in":[53],"solvers":[56],"have":[57],"made":[58],"it":[59],"possible":[60],"to":[61,65,110],"find":[62,76],"the":[63,77,85,95,98,106,111,115,128,135,142,160],"solutions":[64],"these":[66],"problems":[67],"very":[68],"quickly.":[69],"From":[70],"geometric":[72],"stand-point,":[73],"we":[74],"largest":[78],"volume":[79],"symmetric":[80],"simplex":[81],"that":[82],"fits":[83],"within":[84],"problem,":[88],"grow":[90],"new":[91,161],"simplices":[92],"out":[93],"faces":[96],"original":[99],"simplex.":[100],"process":[102],"repeated":[104],"until":[105],"growing":[107],"polytope":[108],"converges":[109],"constraint":[112],"boundaries":[113],"actual":[116],"set.":[117],"Additionally,":[118],"incorporating":[122],"stochastic":[123,136,155],"constraints":[124,137],"uncertainties":[126,156],"into":[127],"deterministic":[129],"framework":[130],"developed":[132],"posing":[134],"as":[138],"chance-constrained":[139],"constraints.":[140],"Finally,":[141],"set":[144],"two-vehicle":[147],"Low":[148],"Earth":[149],"Orbit":[150],"(LEO)":[151],"rendezvous":[152],"with":[154],"generated":[158],"algorithm.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}