{"id":"https://openalex.org/W2182270632","doi":null,"title":"Idempotent Methods for Control of Diffusions","display_name":"Idempotent Methods for Control of Diffusions","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2182270632","mag":"2182270632"},"language":"en","primary_location":{"id":"mag:2182270632","doi":null,"is_oa":false,"landing_page_url":"http://www.conferences.hu/mtns2010/proceedings/Papers/222_311.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"volume":null,"type":"article","indexed_in":[],"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/A5029091294","display_name":"Ben George Fitzpatrick","orcid":"https://orcid.org/0000-0001-8067-3210","observed_orcids":["https://orcid.org/0000-0001-8067-3210"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ben Fitzpatrick","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-8067-3210","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100418884","display_name":"Li Liu","orcid":"https://orcid.org/0000-0003-0615-5524","observed_orcids":["https://orcid.org/0000-0003-0615-5524","https://orcid.org/0000-0001-9935-4017"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li Liu","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-0615-5524","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15916681,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.31709998846054077,"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"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.31709998846054077,"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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.3082999885082245,"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":0.0617000013589859,"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/max-plus-algebra","display_name":"max-plus algebra","score":0.9419999718666077},{"id":"https://openalex.org/keywords/nonlinear-control","display_name":"nonlinear control","score":0.7129999995231628},{"id":"https://openalex.org/keywords/stochastic-diffusion","display_name":"stochastic diffusion","score":0.6669999957084656},{"id":"https://openalex.org/keywords/bellman-equation","display_name":"Bellman equation","score":0.9789999723434448},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"dynamic programming","score":0.8289999961853027},{"id":"https://openalex.org/keywords/van-der-pol-equation","display_name":"van der Pol equation","score":0.9599999785423279}],"concepts":[{"id":"https://openalex.org/C138390121","wikidata":"https://www.wikidata.org/wiki/Q5283219","display_name":"Distributivity","level":3,"score":0.792417049407959},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6793330907821655},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.6045210957527161},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5963426828384399},{"id":"https://openalex.org/C14646407","wikidata":"https://www.wikidata.org/wiki/Q1430750","display_name":"Bellman equation","level":2,"score":0.5323385000228882},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5080673694610596},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.504348635673523},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.46249842643737793},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4524570107460022},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44508126378059387},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4428532123565674},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.42925602197647095},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.41046270728111267},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15848001837730408},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14963921904563904},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C11821877","wikidata":"https://www.wikidata.org/wiki/Q187959","display_name":"Distributive property","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:2182270632","doi":null,"is_oa":false,"landing_page_url":"http://www.conferences.hu/mtns2010/proceedings/Papers/222_311.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W586948577","https://openalex.org/W1495915996","https://openalex.org/W1505329512","https://openalex.org/W1964377184","https://openalex.org/W1970266193","https://openalex.org/W1988747288","https://openalex.org/W1993819066","https://openalex.org/W2098745223","https://openalex.org/W2154089215","https://openalex.org/W2742233052","https://openalex.org/W2962878765","https://openalex.org/W2963389260"],"related_works":["https://openalex.org/W270104798","https://openalex.org/W251480445","https://openalex.org/W2121262049","https://openalex.org/W1993819066","https://openalex.org/W2124942384","https://openalex.org/W2018607501","https://openalex.org/W4300557711","https://openalex.org/W2286782551","https://openalex.org/W7101112723","https://openalex.org/W7097209519"],"abstract_inverted_index":{"The":[0,33],"recent":[1],"successes":[2],"of":[3,46,50,54,66,68,93],"max-plus":[4,37,44,78,85],"and":[5,26,70],"more":[6],"general":[7],"idempotent":[8],"structures":[9],"for":[10,18,30],"attacking":[11],"nonlinear":[12,28,40,104],"control":[13,41,105],"problems":[14],"offer":[15],"the":[16,43,47,55,59,64,94,99,108],"potential":[17],"revolutionary":[19],"improvements":[20],"in":[21,36,58],"our":[22],"ability":[23],"to":[24,39],"design":[25],"implement":[27],"controls":[29],"real":[31],"applications.":[32],"key":[34],"ingredient":[35],"approaches":[38],"is":[42],"linearity":[45],"Bellman":[48,95],"equation":[49],"dynamic":[51],"programming.":[52],"One":[53],"primary":[56],"difficulties":[57],"stochastic":[60],"setting":[61],"has":[62],"been":[63],"lack":[65],"commutation":[67],"expectation":[69],"maximization.":[71],"In":[72],"this":[73],"paper,":[74],"we":[75],"consider":[76],"a":[77,102],"distributivity":[79],"property":[80],"that,":[81],"when":[82],"coupled":[83],"with":[84,101],"finite":[86],"element":[87],"expansion,":[88],"permits":[89],"an":[90],"efficient":[91],"propagation":[92],"equation.":[96,112],"We":[97],"illustrate":[98],"concepts":[100],"simple":[103],"example":[106],"using":[107],"van":[109],"der":[110],"Pol":[111]},"counts_by_year":[],"updated_date":"2026-10-17T09:40:24.721904","created_date":"2016-06-24T00:00:00"}