{"id":"https://openalex.org/W4226328984","doi":"https://doi.org/10.1093/imamci/dnac009","title":"Reach control problem for a class of convex differential inclusions on simplices","display_name":"Reach control problem for a class of convex differential inclusions on simplices","publication_year":2022,"publication_date":"2022-04-14","ids":{"openalex":"https://openalex.org/W4226328984","doi":"https://doi.org/10.1093/imamci/dnac009"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnac009","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnac009","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5086921867","display_name":"Dejing Lv","orcid":"https://orcid.org/0000-0001-6590-1596"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Dejing Lv","raw_affiliation_strings":["College of Intelligent Systems Science and Engineering , Harbin Engineering University, 150001 Harbin , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Intelligent Systems Science and Engineering , Harbin Engineering University, 150001 Harbin , China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029104703","display_name":"Bin Ge","orcid":"https://orcid.org/0000-0001-7965-1348"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Ge","raw_affiliation_strings":["College of Intelligent Systems Science and Engineering , Harbin Engineering University, 150001 Harbin, China, College of Mathematical Sciences, Harbin Engineering University, 150001 Harbin , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Intelligent Systems Science and Engineering , Harbin Engineering University, 150001 Harbin, China, College of Mathematical Sciences, Harbin Engineering University, 150001 Harbin , China","institution_ids":["https://openalex.org/I151727225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039285177","display_name":"Mingze Wu","orcid":"https://orcid.org/0000-0002-2977-8954"},"institutions":[{"id":"https://openalex.org/I151727225","display_name":"Harbin Engineering University","ror":"https://ror.org/03x80pn82","country_code":"CN","type":"education","lineage":["https://openalex.org/I151727225"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingze Wu","raw_affiliation_strings":["College of Underwater Acoustic Engineering , Harbin Engineering University, 150001 Harbin , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Underwater Acoustic Engineering , Harbin Engineering University, 150001 Harbin , China","institution_ids":["https://openalex.org/I151727225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086921867"],"corresponding_institution_ids":["https://openalex.org/I151727225"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.1173,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.3720123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"39","issue":"2","first_page":"751","last_page":"772"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9993000030517578,"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":0.9993000030517578,"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/T11236","display_name":"Control Systems and Identification","score":0.9993000030517578,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9990000128746033,"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":0.9113543033599854},{"id":"https://openalex.org/keywords/differential-inclusion","display_name":"Differential inclusion","score":0.8844918012619019},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7212568521499634},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.6618161201477051},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6280521154403687},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6196935772895813},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5524364113807678},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.5209338068962097},{"id":"https://openalex.org/keywords/facet","display_name":"Facet (psychology)","score":0.47732478380203247},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4642319083213806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3751794099807739},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3747878074645996},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3374757766723633},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.228488028049469},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.17480817437171936},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06998848915100098},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.058552950620651245}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9113543033599854},{"id":"https://openalex.org/C70834904","wikidata":"https://www.wikidata.org/wiki/Q1054638","display_name":"Differential inclusion","level":2,"score":0.8844918012619019},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7212568521499634},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6618161201477051},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6280521154403687},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6196935772895813},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5524364113807678},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.5209338068962097},{"id":"https://openalex.org/C43122875","wikidata":"https://www.wikidata.org/wiki/Q5428522","display_name":"Facet (psychology)","level":4,"score":0.47732478380203247},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4642319083213806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3751794099807739},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3747878074645996},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3374757766723633},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.228488028049469},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.17480817437171936},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06998848915100098},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.058552950620651245},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C187288502","wikidata":"https://www.wikidata.org/wiki/Q641118","display_name":"Personality","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C2865642","wikidata":"https://www.wikidata.org/wiki/Q378132","display_name":"Big Five personality traits","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnac009","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnac009","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1484590079","https://openalex.org/W1974336206","https://openalex.org/W1988412303","https://openalex.org/W1994990360","https://openalex.org/W2007093507","https://openalex.org/W2018976612","https://openalex.org/W2019102543","https://openalex.org/W2048723778","https://openalex.org/W2067619380","https://openalex.org/W2147970103","https://openalex.org/W2152643959","https://openalex.org/W2172806547","https://openalex.org/W2266987913","https://openalex.org/W2338163914","https://openalex.org/W2508247887","https://openalex.org/W2777324443","https://openalex.org/W2811473319","https://openalex.org/W2885664470","https://openalex.org/W2943141190","https://openalex.org/W2945984369","https://openalex.org/W2947197557","https://openalex.org/W2954463159","https://openalex.org/W2997240268","https://openalex.org/W3024910599","https://openalex.org/W4210718478","https://openalex.org/W4211147054"],"related_works":["https://openalex.org/W2136512912","https://openalex.org/W2127267268","https://openalex.org/W2156446763","https://openalex.org/W2067910792","https://openalex.org/W2150194458","https://openalex.org/W2143461633","https://openalex.org/W2111791229","https://openalex.org/W1511457503","https://openalex.org/W2610281203","https://openalex.org/W3135573351"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"focuses":[3],"on":[4,69],"the":[5,27,30,51,70,73,93,96],"reach":[6,33,74],"control":[7,75],"problem":[8,76],"for":[9,26,53,63,77],"systems":[10,31],"expressed":[11],"as":[12],"a":[13,40,44],"class":[14],"of":[15,29,39,72,95],"convex":[16],"differential":[17],"inclusions.":[18],"The":[19,60],"purpose":[20],"is":[21,48,56,66],"to":[22,32,91],"find":[23],"affine":[24,79],"feedback":[25],"trajectories":[28],"and":[34,58,86],"leave":[35],"an":[36],"unrestricted":[37],"facet":[38],"given":[41,90],"simplex":[42],"in":[43],"finite":[45],"time.":[46],"It":[47],"proved":[49],"that":[50],"condition":[52,62],"strong":[54],"reachability":[55,65],"sufficient":[57,61],"necessary.":[59],"weak":[64],"obtained":[67],"based":[68],"solvability":[71],"linear":[78],"systems.":[80],"At":[81],"last,":[82],"algorithms":[83],"are":[84,89],"designed":[85],"numerical":[87],"examples":[88],"verify":[92],"validity":[94],"results.":[97]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
