{"id":"https://openalex.org/W3047563290","doi":"https://doi.org/10.1137/19m1269944","title":"Optimal Neumann Boundary Control of a Vibrating String with Uncertain Initial Data and Probabilistic Terminal Constraints","display_name":"Optimal Neumann Boundary Control of a Vibrating String with Uncertain Initial Data and Probabilistic Terminal Constraints","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3047563290","doi":"https://doi.org/10.1137/19m1269944","mag":"3047563290"},"language":"en","primary_location":{"id":"doi:10.1137/19m1269944","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1269944","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5033677220","display_name":"M. Hassan Farshbaf-Shaker","orcid":"https://orcid.org/0000-0003-0543-5938"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. Hassan Farshbaf-Shaker","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073661737","display_name":"Martin Gugat","orcid":"https://orcid.org/0000-0002-5281-110X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Martin Gugat","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5281-110X","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077659287","display_name":"Holger Heitsch","orcid":"https://orcid.org/0000-0002-2692-4602"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Holger Heitsch","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5111442239","display_name":"Ren\u00e9 Henrion","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ren\u00e9 Henrion","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3404,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.80622826,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"58","issue":"4","first_page":"2288","last_page":"2311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998000264167786,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9998000264167786,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.998199999332428,"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/mathematics","display_name":"Mathematics","score":0.7548694610595703},{"id":"https://openalex.org/keywords/terminal","display_name":"Terminal (telecommunication)","score":0.7459927797317505},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.7075297832489014},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6411450505256653},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5717605352401733},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5572420954704285},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5093334913253784},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.48369866609573364},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.4420683681964874},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.4141221046447754},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40829727053642273},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3919488191604614},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3547104597091675},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16782978177070618},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1494312286376953},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10621240735054016}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7548694610595703},{"id":"https://openalex.org/C2779664074","wikidata":"https://www.wikidata.org/wiki/Q3518405","display_name":"Terminal (telecommunication)","level":2,"score":0.7459927797317505},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.7075297832489014},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6411450505256653},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5717605352401733},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5572420954704285},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5093334913253784},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.48369866609573364},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.4420683681964874},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.4141221046447754},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40829727053642273},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3919488191604614},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3547104597091675},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16782978177070618},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1494312286376953},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10621240735054016},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/19m1269944","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1269944","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"},{"id":"pmh:doi:10.20347/wias.preprint.2626","is_oa":false,"landing_page_url":"http://localhost:8291/receive/wias_mods_00002655","pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"preprint"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5400000214576721}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320324478","display_name":"Fondation Math\u00e9matique Jacques Hadamard","ror":"https://ror.org/0153me927"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W199141222","https://openalex.org/W1910114349","https://openalex.org/W1966023536","https://openalex.org/W1970599443","https://openalex.org/W1984052922","https://openalex.org/W2000753997","https://openalex.org/W2033517841","https://openalex.org/W2038521854","https://openalex.org/W2047463305","https://openalex.org/W2053391173","https://openalex.org/W2064297654","https://openalex.org/W2093298608","https://openalex.org/W2094143568","https://openalex.org/W2117571777","https://openalex.org/W2606245104","https://openalex.org/W2622903347","https://openalex.org/W2750408863","https://openalex.org/W2751459826","https://openalex.org/W2764133341","https://openalex.org/W2806083605","https://openalex.org/W2895914976","https://openalex.org/W2899947431","https://openalex.org/W2963643598","https://openalex.org/W3100969738","https://openalex.org/W3102383043"],"related_works":["https://openalex.org/W3211557223","https://openalex.org/W2007036916","https://openalex.org/W2120266540","https://openalex.org/W4206528302","https://openalex.org/W872563264","https://openalex.org/W2164087676","https://openalex.org/W4240867999","https://openalex.org/W2416728927","https://openalex.org/W108604697","https://openalex.org/W2010102767"],"abstract_inverted_index":{"In":[0,16],"optimal":[1,26,105,110,126],"control":[2,27,68,106,128],"problems,":[3],"often":[4],"initial":[5,35,50,121],"data":[6],"are":[7,10,64,113,133],"required":[8],"that":[9,69,112],"not":[11,54],"known":[12],"exactly":[13],"in":[14,90,102],"practice.":[15],"order":[17],"to":[18,56,109],"take":[19],"into":[20,73],"account":[21,44],"this":[22],"uncertainty,":[23],"we":[24,63],"consider":[25],"problems":[28],"for":[29,66,95],"a":[30,67,74],"system":[31,72],"with":[32,82,125],"an":[33,58,93],"uncertain":[34],"state.":[36,61,122],"A":[37],"finite":[38],"terminal":[39,60,80,97],"time":[40],"is":[41,53,88],"given.":[42],"On":[43],"of":[45,48,77,92,119,129],"the":[46,49,71,78,96,103,116,120,130],"uncertainty":[47],"state,":[51],"it":[52],"possible":[55],"prescribe":[57],"exact":[59],"Instead,":[62],"looking":[65],"steers":[70],"given":[75],"neighborhood":[76,87],"desired":[79],"state":[81],"sufficiently":[83],"high":[84],"probability.":[85],"This":[86],"described":[89],"terms":[91],"inequality":[94],"energy.":[98],"The":[99],"probabilistic":[100],"constraint":[101],"considered":[104],"problem":[107],"leads":[108],"controls":[111],"robust":[114],"against":[115],"inevitable":[117],"uncertainties":[118],"Numerical":[123],"examples":[124],"Neumann":[127],"wave":[131],"equation":[132],"presented.":[134]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}