{"id":"https://openalex.org/W2963359659","doi":"https://doi.org/10.1137/15m1044485","title":"Existence, Characterization, and Approximation in the Generalized Monotone-Follower Problem","display_name":"Existence, Characterization, and Approximation in the Generalized Monotone-Follower Problem","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2963359659","doi":"https://doi.org/10.1137/15m1044485","mag":"2963359659"},"language":"en","primary_location":{"id":"doi:10.1137/15m1044485","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1044485","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/A5061647097","display_name":"Jiexian Li","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiexian Li","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5088025648","display_name":"Gordan \u017ditkovi\u0107","orcid":"https://orcid.org/0000-0001-6098-3473"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gordan \u017ditkovi\u0107","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0672,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.82490315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"55","issue":"1","first_page":"94","last_page":"118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10067","display_name":"Stochastic processes and financial applications","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2003","display_name":"Finance"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9918000102043152,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11413","display_name":"Risk and Portfolio Optimization","score":0.9807000160217285,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8949187994003296},{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7301429510116577},{"id":"https://openalex.org/keywords/pontryagins-minimum-principle","display_name":"Pontryagin's minimum principle","score":0.7144742012023926},{"id":"https://openalex.org/keywords/compact-space","display_name":"Compact space","score":0.69325190782547},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5580172538757324},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5312219858169556},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5076059103012085},{"id":"https://openalex.org/keywords/maximum-principle","display_name":"Maximum principle","score":0.4871804118156433},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.4828270375728607},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4641728401184082},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3349783420562744},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2998458743095398}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8949187994003296},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7301429510116577},{"id":"https://openalex.org/C141803461","wikidata":"https://www.wikidata.org/wiki/Q3491629","display_name":"Pontryagin's minimum principle","level":3,"score":0.7144742012023926},{"id":"https://openalex.org/C18648836","wikidata":"https://www.wikidata.org/wiki/Q381892","display_name":"Compact space","level":2,"score":0.69325190782547},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5580172538757324},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5312219858169556},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5076059103012085},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.4871804118156433},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.4828270375728607},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4641728401184082},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3349783420562744},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2998458743095398},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/15m1044485","is_oa":false,"landing_page_url":"https://doi.org/10.1137/15m1044485","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G1548665445","display_name":null,"funder_award_id":"1516165","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"},{"id":"https://openalex.org/G5286877554","display_name":null,"funder_award_id":"0706947","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"},{"id":"https://openalex.org/G7785514667","display_name":null,"funder_award_id":"1107465","funder_id":"https://openalex.org/F4320332172","funder_display_name":"Directorate for Mathematical and Physical Sciences"}],"funders":[{"id":"https://openalex.org/F4320332172","display_name":"Directorate for Mathematical and Physical Sciences","ror":"https://ror.org/029b7h395"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1972350190","https://openalex.org/W1972646096","https://openalex.org/W1973397194","https://openalex.org/W2011084783","https://openalex.org/W2027874533","https://openalex.org/W2029650422","https://openalex.org/W2043034463","https://openalex.org/W2044141035","https://openalex.org/W2045766027","https://openalex.org/W2046553535","https://openalex.org/W2066225443","https://openalex.org/W2073097666","https://openalex.org/W2079246218","https://openalex.org/W2138297771","https://openalex.org/W2142472058","https://openalex.org/W3023775522","https://openalex.org/W3121924945","https://openalex.org/W3121938774","https://openalex.org/W4248731388"],"related_works":["https://openalex.org/W4292923857","https://openalex.org/W1967384683","https://openalex.org/W2962746246","https://openalex.org/W4285534277","https://openalex.org/W4211240924","https://openalex.org/W2771042763","https://openalex.org/W1520410026","https://openalex.org/W2031281152","https://openalex.org/W3209004265","https://openalex.org/W2155570364"],"abstract_inverted_index":{"We":[0],"revisit":[1],"the":[2,24,29,47],"classical":[3],"monotone-follower":[4],"problem":[5],"and":[6,28,44,54],"consider":[7],"it":[8],"in":[9],"a":[10,18],"generalized":[11],"formulation.":[12],"Our":[13],"approach":[14],"is":[15],"based":[16],"on":[17],"compactness":[19],"substitute":[20],"for":[21],"nondecreasing":[22],"processes,":[23],"Meyer--Zheng":[25],"weak":[26,38],"convergence,":[27],"maximum":[30],"principle":[31],"of":[32],"Pontryagin.":[33],"It":[34],"establishes":[35],"existence":[36],"under":[37],"conditions,":[39],"produces":[40],"general":[41],"approximation":[42],"results,":[43],"further":[45],"elucidates":[46],"celebrated":[48],"connection":[49],"between":[50],"singular":[51],"stochastic":[52],"control":[53],"stopping.":[55]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
