{"id":"https://openalex.org/W2126961860","doi":"https://doi.org/10.1080/00207720902989296","title":"Robustness of non-linear stochastic optimal control for quasi-Hamiltonian systems with parametric uncertainty","display_name":"Robustness of non-linear stochastic optimal control for quasi-Hamiltonian systems with parametric uncertainty","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2126961860","doi":"https://doi.org/10.1080/00207720902989296","mag":"2126961860"},"language":"en","primary_location":{"id":"doi:10.1080/00207720902989296","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720902989296","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5100406451","display_name":"Yafei Wang","orcid":"https://orcid.org/0000-0003-4958-3051"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Y. Wang","raw_affiliation_strings":["Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China","Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control , Zhejiang University , Hangzhou 310027, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control , Zhejiang University , Hangzhou 310027, P. R. China","institution_ids":["https://openalex.org/I76130692","https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084308353","display_name":"Z.G. Ying","orcid":"https://orcid.org/0000-0003-1795-6968"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Z.G. Ying","raw_affiliation_strings":["Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China","Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control , Zhejiang University , Hangzhou 310027, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, P. R. China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"Department of Mechanics, School of Aeronautics and Astronautics, State Key Laboratory of Fluid Power Transmission and Control , Zhejiang University , Hangzhou 310027, P. R. China","institution_ids":["https://openalex.org/I76130692","https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100413031","display_name":"Weixin Zhu","orcid":"https://orcid.org/0000-0002-3503-1355"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"W.Q. Zhu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100413031"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5974,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.73350054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"40","issue":"12","first_page":"1217","last_page":"1227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13862","display_name":"Soil, Finite Element Methods","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T13862","display_name":"Soil, Finite Element Methods","score":0.9810000061988831,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9787999987602234,"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":0.9577999711036682,"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/robustness","display_name":"Robustness (evolution)","score":0.6676459908485413},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.6674487590789795},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6324220299720764},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5254337191581726},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.486685574054718},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.4632362723350525},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.45884454250335693},{"id":"https://openalex.org/keywords/root-mean-square","display_name":"Root mean square","score":0.43636566400527954},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4295976161956787},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41847479343414307},{"id":"https://openalex.org/keywords/square-root","display_name":"Square root","score":0.4144974648952484},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4125172197818756},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24807032942771912},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1215749979019165},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11894521117210388},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09224793314933777}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6676459908485413},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.6674487590789795},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6324220299720764},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5254337191581726},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.486685574054718},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.4632362723350525},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.45884454250335693},{"id":"https://openalex.org/C71907059","wikidata":"https://www.wikidata.org/wiki/Q223323","display_name":"Root mean square","level":2,"score":0.43636566400527954},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4295976161956787},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41847479343414307},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.4144974648952484},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4125172197818756},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24807032942771912},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1215749979019165},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11894521117210388},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09224793314933777},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207720902989296","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720902989296","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W30951222","https://openalex.org/W49685413","https://openalex.org/W82922051","https://openalex.org/W1525883337","https://openalex.org/W1558902221","https://openalex.org/W1868559974","https://openalex.org/W1969302880","https://openalex.org/W1979313305","https://openalex.org/W1981930351","https://openalex.org/W2004819834","https://openalex.org/W2021799251","https://openalex.org/W2036068117","https://openalex.org/W2041944903","https://openalex.org/W2049171318","https://openalex.org/W2049600235","https://openalex.org/W2049942084","https://openalex.org/W2053892455","https://openalex.org/W2065313971","https://openalex.org/W2074438480","https://openalex.org/W2075037360","https://openalex.org/W2076104664","https://openalex.org/W2078434528","https://openalex.org/W2087833716","https://openalex.org/W2135176411","https://openalex.org/W2167722323","https://openalex.org/W2181209561","https://openalex.org/W2209557103","https://openalex.org/W3151223085","https://openalex.org/W4255829373","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4241389587","https://openalex.org/W2610220566","https://openalex.org/W2943897807","https://openalex.org/W3120484221","https://openalex.org/W4366198066","https://openalex.org/W2061769724","https://openalex.org/W3047748938","https://openalex.org/W2358522863","https://openalex.org/W4386034604","https://openalex.org/W2347918039"],"abstract_inverted_index":{"The":[0],"robustness":[1,106],"of":[2,19,58,87,91,102,107],"non-linear":[3,26,109],"stochastic":[4,23,27,44,48,76,110],"optimal":[5,28,111],"control":[6,29,61,64,95,98,112,123],"for":[7,30,66],"quasi-Hamiltonian":[8,33,69],"systems":[9],"with":[10,35],"uncertain":[11,20,68,103],"parameters":[12,21,37],"is":[13,38,113],"studied.":[14],"Based":[15],"on":[16],"the":[17,25,31,43,53,67,75,80,85,88,105,108,121],"independence":[18],"and":[22,47,55,63,79,97,125],"excitations,":[24],"nominal":[32],"system":[34,70],"average-value":[36],"first":[39],"obtained":[40],"by":[41,73],"using":[42,74],"averaging":[45,77],"method":[46,78],"dynamical":[49],"programming":[50],"principle.":[51],"Then,":[52],"means":[54],"standard":[56],"deviations":[57],"root-mean-square":[59,93],"responses,":[60,94],"effectiveness":[62,96],"efficiency":[65,99],"are":[71,117],"calculated":[72],"probabilistic":[81],"analysis.":[82],"By":[83],"introducing":[84],"sensitivity":[86],"variation":[89],"coefficients":[90],"controlled":[92],"to":[100,119],"those":[101],"parameters,":[104],"evaluated.":[114],"Two":[115],"examples":[116],"given":[118],"illustrate":[120],"proposed":[122],"procedure":[124],"its":[126],"robustness.":[127]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}