{"id":"https://openalex.org/W4413318848","doi":"https://doi.org/10.1109/tase.2025.3599573","title":"Distributed Strategy Design for Autonomous Multi-Cluster Games With High-Order Nonlinear Physical Players and Its Application to Clustered Electricity Markets","display_name":"Distributed Strategy Design for Autonomous Multi-Cluster Games With High-Order Nonlinear Physical Players and Its Application to Clustered Electricity Markets","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4413318848","doi":"https://doi.org/10.1109/tase.2025.3599573"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2025.3599573","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3599573","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/A5057995398","display_name":"Zhenhua Deng","orcid":"https://orcid.org/0000-0001-7225-5238"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhenhua Deng","raw_affiliation_strings":["School of Automation, Central South University, Changsha, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057995398"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1625,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":null,"first_page":"19974","last_page":"19985"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9824000000953674,"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"}},"topics":[{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9824000000953674,"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"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9714000225067139,"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"}},{"id":"https://openalex.org/T12659","display_name":"Innovation Diffusion and Forecasting","score":0.9465000033378601,"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/order","display_name":"Order (exchange)","score":0.5953698754310608},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5714779496192932},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.517660915851593},{"id":"https://openalex.org/keywords/electricity","display_name":"Electricity","score":0.5113803744316101},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.48582741618156433},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48481741547584534},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3082233965396881},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.17347067594528198},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.1410330832004547},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.10940679907798767}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5953698754310608},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5714779496192932},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.517660915851593},{"id":"https://openalex.org/C206658404","wikidata":"https://www.wikidata.org/wiki/Q12725","display_name":"Electricity","level":2,"score":0.5113803744316101},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.48582741618156433},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48481741547584534},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3082233965396881},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.17347067594528198},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.1410330832004547},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.10940679907798767},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tase.2025.3599573","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2025.3599573","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":"Affordable and clean energy","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G3567383034","display_name":null,"funder_award_id":"kq2402224","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G3990939986","display_name":null,"funder_award_id":"2024JJ4067","funder_id":"https://openalex.org/F4320322843","funder_display_name":"Natural Science Foundation of\u00a0Hunan Province"},{"id":"https://openalex.org/G8529056513","display_name":null,"funder_award_id":"2024JJ4067","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322843","display_name":"Natural Science Foundation of\u00a0Hunan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W1997949764","https://openalex.org/W2020079765","https://openalex.org/W2057161624","https://openalex.org/W2573296977","https://openalex.org/W2611964096","https://openalex.org/W2804127519","https://openalex.org/W2915026742","https://openalex.org/W2921629057","https://openalex.org/W2970688513","https://openalex.org/W2993702601","https://openalex.org/W3040131859","https://openalex.org/W3040558155","https://openalex.org/W3130632443","https://openalex.org/W3170023534","https://openalex.org/W3173203935","https://openalex.org/W3206696007","https://openalex.org/W3213724282","https://openalex.org/W3217547593","https://openalex.org/W4200000914","https://openalex.org/W4206179403","https://openalex.org/W4206659778","https://openalex.org/W4220689618","https://openalex.org/W4226017528","https://openalex.org/W4238591275","https://openalex.org/W4249513058","https://openalex.org/W4280642569","https://openalex.org/W4285725522","https://openalex.org/W4285820933","https://openalex.org/W4293254212","https://openalex.org/W4313341923","https://openalex.org/W4319866015","https://openalex.org/W4323345824","https://openalex.org/W4353004282","https://openalex.org/W4372037445","https://openalex.org/W4383911960","https://openalex.org/W4385894351","https://openalex.org/W4386959675","https://openalex.org/W4389370901","https://openalex.org/W4390428341","https://openalex.org/W4390659234","https://openalex.org/W4391335380","https://openalex.org/W4396712946","https://openalex.org/W4401656698","https://openalex.org/W4407366785"],"related_works":["https://openalex.org/W4386420510","https://openalex.org/W2154204858","https://openalex.org/W2147990030","https://openalex.org/W3209622820","https://openalex.org/W2370258473","https://openalex.org/W3134839809","https://openalex.org/W2559980898","https://openalex.org/W2358673967","https://openalex.org/W2107962325","https://openalex.org/W2382250648"],"abstract_inverted_index":{"This":[0],"paper":[1],"considers":[2],"the":[3,17,71,108,121,125,131,160],"distributed":[4,61,84],"autonomous":[5],"multi-cluster":[6],"games":[7,140],"(MCGs)":[8],"of":[9,34,74,115,133,162],"physical":[10,99],"players.":[11],"In":[12],"contrast":[13],"to":[14,70,136],"existing":[15],"MCGs,":[16],"players":[18,28,55,100],"in":[19,153],"our":[20,66,93,116,134,145],"MCG":[21,104,117],"have":[22,56],"high-order":[23,53,78,97],"nonlinear":[24,54,79,98],"dynamics.":[25,80],"Moreover,":[26],"these":[27],"are":[29],"restricted":[30],"by":[31],"three":[32],"kinds":[33],"constraints:":[35],"local":[36],"inequality":[37,43,75],"constraints,":[38],"intra-cluster":[39],"and":[40,77,86,157],"inter-cluster":[41],"coupling":[42],"constraints.":[44],"As":[45],"far":[46],"as":[47],"we":[48],"know,":[49],"constrained":[50],"MCGs":[51],"with":[52],"not":[57],"been":[58],"investigated.":[59],"Existing":[60],"game":[62],"strategies":[63],"cannot":[64],"handle":[65],"problem,":[67],"mainly":[68],"owing":[69],"simultaneous":[72],"presence":[73],"constraints":[76],"We":[81],"exploit":[82],"a":[83],"strategy,":[85,94,122],"give":[87],"its":[88],"performance":[89],"analysis":[90],"rigorously.":[91],"With":[92],"those":[95],"heterogeneous":[96],"do":[101],"carry":[102],"out":[103],"tasks":[105],"autonomously.":[106],"Also,":[107],"exact":[109],"variational":[110],"generalized":[111],"Nash":[112],"equilibrium":[113],"(vGNE)":[114],"is":[118,142],"sough":[119],"via":[120],"even":[123],"if":[124],"dynamics":[126],"contains":[127],"unknown":[128],"parameters.":[129],"Finally,":[130],"application":[132],"method":[135],"clustered":[137,154],"electricity":[138],"market":[139],"(EMGs)":[141],"presented.":[143],"Under":[144],"method,":[146],"boiler-turbine":[147],"generation":[148],"systems":[149],"(BTGSs)":[150],"take":[151],"part":[152],"EMGs":[155],"zealously":[156],"spontaneously,":[158],"without":[159],"assistance":[161],"human":[163],"beings.":[164]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
