{"id":"https://openalex.org/W4313892934","doi":"https://doi.org/10.1109/tase.2023.3234928","title":"Base on -Learning Pareto Optimality for Linear It\u00f4 Stochastic Systems With Markovian Jumps<i/>","display_name":"Base on -Learning Pareto Optimality for Linear It\u00f4 Stochastic Systems With Markovian Jumps<i/>","publication_year":2023,"publication_date":"2023-01-09","ids":{"openalex":"https://openalex.org/W4313892934","doi":"https://doi.org/10.1109/tase.2023.3234928"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2023.3234928","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3234928","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","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/A5010477724","display_name":"Zhongyang Ming","orcid":"https://orcid.org/0009-0001-1002-6840"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhongyang Ming","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100625792","display_name":"Huaguang Zhang","orcid":"https://orcid.org/0000-0002-2375-9824"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaguang Zhang","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, China","State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]},{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067374275","display_name":"Weihua Li","orcid":"https://orcid.org/0000-0003-1425-9198"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weihua Li","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064721860","display_name":"Yanhong Luo","orcid":"https://orcid.org/0000-0001-6898-7903"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanhong Luo","raw_affiliation_strings":["School of Information Science and Engineering, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010477724"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":3.626,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.93995655,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"21","issue":"1","first_page":"965","last_page":"975"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9886000156402588,"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":0.9886000156402588,"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/T11052","display_name":"Energy Load and Power Forecasting","score":0.9750999808311462,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9531000256538391,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5060247778892517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4732031226158142},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.42484351992607117},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4217302203178406},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3668194115161896},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36406320333480835}],"concepts":[{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5060247778892517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4732031226158142},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.42484351992607117},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4217302203178406},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3668194115161896},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36406320333480835},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2023.3234928","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2023.3234928","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","id":"https://metadata.un.org/sdg/17","score":0.5799999833106995}],"awards":[{"id":"https://openalex.org/G2036897366","display_name":null,"funder_award_id":"61627809","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3696571035","display_name":null,"funder_award_id":"62173082","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G451589156","display_name":null,"funder_award_id":"2018YFA0702200","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G837822842","display_name":null,"funder_award_id":"XLYC1801005","funder_id":"https://openalex.org/F4320329895","funder_display_name":"Liaoning Revitalization Talents Program"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320329895","display_name":"Liaoning Revitalization Talents Program","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W48781693","https://openalex.org/W1594802219","https://openalex.org/W1976424144","https://openalex.org/W1991927580","https://openalex.org/W1997603681","https://openalex.org/W2013683603","https://openalex.org/W2020688906","https://openalex.org/W2104482782","https://openalex.org/W2137092694","https://openalex.org/W2139416664","https://openalex.org/W2161324149","https://openalex.org/W2245501338","https://openalex.org/W2346408824","https://openalex.org/W2550394442","https://openalex.org/W2564717627","https://openalex.org/W2774001114","https://openalex.org/W2900729111","https://openalex.org/W2949510088","https://openalex.org/W2963609304","https://openalex.org/W2979708496","https://openalex.org/W2990694606","https://openalex.org/W3008282592","https://openalex.org/W3096135216","https://openalex.org/W3125882718","https://openalex.org/W3127008750","https://openalex.org/W3127275112","https://openalex.org/W3138923910","https://openalex.org/W3182680309","https://openalex.org/W3193779773","https://openalex.org/W3195322794","https://openalex.org/W3204029762","https://openalex.org/W4205561196","https://openalex.org/W4210727699","https://openalex.org/W4211109292"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W1993731165","https://openalex.org/W2095860056","https://openalex.org/W2742871814","https://openalex.org/W2802778578"],"abstract_inverted_index":{"This":[0],"article":[1,32],"investigate":[2],"the":[3,20,34,37,42,70,85,112,118,128,154,160,168,180,185,191,194,201,211,219,223,235,259,280,300,329],"cooperative":[4],"differential":[5],"game":[6],"(CDG)":[7],"for":[8,41,115,250,273],"continuous-time":[9],"linear":[10],"It\u00f4":[11],"stochastic":[12,79],"systems":[13,149],"with":[14,45,137,277,325],"markovian":[15],"jumps":[16],"(SSMJ)":[17],"to":[18,76,143,167,252,257,287,303,321,337,345],"obtain":[19,322,338],"Pareto":[21,98],"solutions.":[22],"Different":[23],"from":[24],"most":[25],"existing":[26],"works":[27],"studying":[28],"nonzero-sum":[29],"games,":[30],"this":[31,347],"studies":[33],"CDG":[35],"on":[36,298],"quadratic":[38],"infinite":[39],"horizon":[40],"It\u00f4-type":[43],"SSMJ":[44,116,224],"unknown":[46],"system":[47,113,172,176,186,195,341,368],"matrix":[48],"and":[49,97,117,198,207],"transition":[50],"probability.":[51],"A":[52],"novel":[53,350],"<inline-formula":[54,356],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[55,141,357],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[56,358],"<tex-math":[57,359],"notation=\"LaTeX\">$Q$</tex-math>":[58,360],"</inline-formula>":[59,361],"-learning":[60,362],"online":[61,318],"algorithm":[62,320],"is":[63,74,89,100,131,188,241,271,335,352],"developed,":[64],"which":[65,165,364],"consists":[66],"of":[67,156,162,171,204,261],"that":[68,111,278],"(i)":[69],"optimal":[71],"control":[72,196,255,306],"problem":[73],"equivalent":[75],"solving":[77],"a":[78,92,134,268,289,308,349],"algebraic":[80],"Riccatic":[81],"equation":[82],"(ARE);":[83],"(ii)":[84],"joint":[86],"cost":[87,236,260],"function":[88],"approximated":[90,101],"by":[91,102,133,153,190,354],"critic":[93],"neural":[94],"network":[95],"(NN)":[96],"efficient":[99],"two":[103],"actor":[104],"NNs.":[105],"The":[106],"rigorous":[107],"stability":[108],"analysis":[109,130],"shows":[110],"state":[114,205],"NN":[119],"weight":[120],"errors":[121,203],"are":[122,150],"uniformly":[123],"ultimately":[124],"bounded":[125],"(UUB).":[126],"Finally,":[127],"theory":[129],"validated":[132],"numerical":[135],"example":[136],"detailed":[138],"discussions.":[139],"<italic":[140],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">Note":[142],"Practitioners</i>":[144],"\u2014In":[145],"practical":[146,227],"applications,":[147],"many":[148],"often":[151],"affected":[152],"change":[155],"external":[157,199],"environment":[158],"or":[159],"failure":[161],"internal":[163,192],"components,":[164],"leads":[166],"random":[169,202,209],"jump":[170,175],"parameters.":[173],"Markovian":[174],"can":[177,214,225],"effectively":[178],"describe":[179,218,226],"above":[181],"problems.":[182],"And":[183],"when":[184],"model":[187,213],"disturbed":[189],"parameters,":[193],"input":[197],"environment,":[200],"measurement,":[206],"other":[208,330],"factors,":[210],"deterministic":[212],"no":[215],"longer":[216],"accurately":[217],"controlled":[220],"system.":[221],"Therefore,":[222,313],"problems":[228],"more":[229],"accurately.":[230],"By":[231],"cooperation,":[232],"in":[233,279,292,332],"general,":[234],"one":[237],"specific":[238],"player":[239,262,274,291,309],"incurs":[240,310],"not":[242,366],"uniquely":[243],"determined":[244],"anymore.":[245],"If":[246],"all":[247,283],"players":[248,284,301],"decide,":[249],"example,":[251],"use":[253],"their":[254,305],"variables":[256],"reduce":[258],"1":[263,275],"as":[264,266],"much":[265],"possible,":[267],"different":[269,290,311,326],"minimum":[270],"attained":[272],"compared":[276],"case":[281],"where":[282],"agree":[285],"collectively":[286],"help":[288],"minimizing":[293],"his":[294],"cost.":[295],"So,":[296],"depending":[297],"how":[299],"choose":[302],"\u2018divide\u2019":[304],"efforts,":[307],"\u2018minima\u2019.":[312],"we":[314],"will":[315],"design":[316],"an":[317,339],"learning":[319],"pareto":[323],"solutions":[324],"weights.":[327],"On":[328],"hand,":[331],"practice,":[333],"it":[334],"difficult":[336],"accurate":[340],"model.":[342],"In":[343],"order":[344],"solve":[346],"problem,":[348],"scheme":[351],"designed":[353],"using":[355],"technology,":[363],"does":[365],"need":[367],"matrix.":[369]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2023-01-10T00:00:00"}
