{"id":"https://openalex.org/W4381300377","doi":"https://doi.org/10.1109/tac.2023.3281471","title":"Tradeoff Between Time and Energy Costs for Controlling Stochastic Coupled Neural Networks","display_name":"Tradeoff Between Time and Energy Costs for Controlling Stochastic Coupled Neural Networks","publication_year":2023,"publication_date":"2023-05-30","ids":{"openalex":"https://openalex.org/W4381300377","doi":"https://doi.org/10.1109/tac.2023.3281471"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3281471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3281471","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","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/A5083749009","display_name":"Lingzhi Zhao","orcid":"https://orcid.org/0000-0002-5909-0536"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]},{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lingzhi Zhao","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, China","School of Cyber Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]},{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035669378","display_name":"Haifeng Dai","orcid":"https://orcid.org/0000-0001-9960-8128"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haifeng Dai","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, China","School of Cyber Science and Engineering, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]},{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055615832","display_name":"Chunyu Yang","orcid":"https://orcid.org/0000-0002-1590-1712"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunyu Yang","raw_affiliation_strings":["School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Control Engineering, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049482611","display_name":"Jianquan Lu","orcid":"https://orcid.org/0000-0003-4423-6034"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianquan Lu","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003822957","display_name":"Yongzheng Sun","orcid":"https://orcid.org/0000-0001-9504-5663"},"institutions":[{"id":"https://openalex.org/I25757504","display_name":"China University of Mining and Technology","ror":"https://ror.org/01xt2dr21","country_code":"CN","type":"education","lineage":["https://openalex.org/I25757504"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongzheng Sun","raw_affiliation_strings":["School of Mathematics, China University of Mining and Technology, Xuzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, China University of Mining and Technology, Xuzhou, China","institution_ids":["https://openalex.org/I25757504"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5083749009"],"corresponding_institution_ids":["https://openalex.org/I25757504","https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":3.2146,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.92362048,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"69","issue":"2","first_page":"1112","last_page":"1118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10502","display_name":"Advanced Memory and Neural Computing","score":0.9998000264167786,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9952999949455261,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7666671276092529},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5968201160430908},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5861684679985046},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5687117576599121},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5427844524383545},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5151861906051636},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.48076626658439636},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4685308337211609},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.46695002913475037},{"id":"https://openalex.org/keywords/stochastic-control","display_name":"Stochastic control","score":0.43344438076019287},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.406134694814682},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.3927944004535675},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32515549659729004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2825090289115906},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09913986921310425},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09751477837562561}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7666671276092529},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5968201160430908},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5861684679985046},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5687117576599121},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5427844524383545},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5151861906051636},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.48076626658439636},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4685308337211609},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.46695002913475037},{"id":"https://openalex.org/C170131372","wikidata":"https://www.wikidata.org/wiki/Q7617811","display_name":"Stochastic control","level":3,"score":0.43344438076019287},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.406134694814682},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3927944004535675},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32515549659729004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2825090289115906},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09913986921310425},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09751477837562561},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3281471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3281471","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.8899999856948853,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G334372649","display_name":null,"funder_award_id":"2019T120476","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G6797156039","display_name":null,"funder_award_id":"2211001016","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6971051528","display_name":null,"funder_award_id":"12271519","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8516247378","display_name":null,"funder_award_id":"2017M621860","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1602939453","https://openalex.org/W2014116791","https://openalex.org/W2031988165","https://openalex.org/W2041011042","https://openalex.org/W2067809384","https://openalex.org/W2071019087","https://openalex.org/W2101879828","https://openalex.org/W2104109956","https://openalex.org/W2141451487","https://openalex.org/W2162339377","https://openalex.org/W2244754571","https://openalex.org/W2410803713","https://openalex.org/W2479306897","https://openalex.org/W2580848314","https://openalex.org/W2609122333","https://openalex.org/W2767959255","https://openalex.org/W2791784417","https://openalex.org/W2884451540","https://openalex.org/W2967749236","https://openalex.org/W2971282698","https://openalex.org/W2991395448","https://openalex.org/W3010826777","https://openalex.org/W3010829930","https://openalex.org/W3039484756","https://openalex.org/W3091970841","https://openalex.org/W3135407103","https://openalex.org/W3176339834","https://openalex.org/W4302609762"],"related_works":["https://openalex.org/W2943897807","https://openalex.org/W3120484221","https://openalex.org/W2092270171","https://openalex.org/W4366198066","https://openalex.org/W3047748938","https://openalex.org/W2358522863","https://openalex.org/W4386034604","https://openalex.org/W278441094","https://openalex.org/W3099285423","https://openalex.org/W4381248241"],"abstract_inverted_index":{"Time":[0],"cost":[1,5],"(TC)":[2],"and":[3,65,84,90,119,133,146],"energy":[4,147],"(EC)":[6],"are":[7,34,82,94],"two":[8],"fundamental":[9],"indicators":[10],"for":[11,16,78,92],"evaluating":[12],"the":[13,21,31,46,61,71,85,130,141,149],"designed":[14],"protocols":[15],"controlling":[17],"networked":[18],"systems.":[19],"Yet":[20],"relationships":[22],"of":[23,49,73,88,129,144],"which":[24,58],"as":[25,27],"well":[26],"their":[28],"dependence":[29],"on":[30,70],"network":[32],"topology":[33],"far":[35],"from":[36],"clear.":[37],"In":[38],"this":[39,43],"note,":[40],"we":[41,98,122],"explore":[42],"problem":[44],"with":[45,148],"stochastic":[47,80],"synchronization":[48,81,93],"coupled":[50],"neural":[51],"networks.":[52],"A":[53],"novel":[54],"controller":[55],"is":[56,114],"articulated,":[57],"switches":[59],"between":[60,117],"linear":[62],"feedback":[63,67],"control":[64,68,134],"finite-time":[66],"relying":[69],"size":[72],"system":[74],"error.":[75],"Sufficient":[76],"criteria":[77],"achieving":[79],"derived,":[83],"analytical":[86],"estimates":[87],"TC":[89,104,118],"EC":[91],"further":[95,123],"obtained.":[96],"Especially,":[97],"show":[99],"that":[100,125],"a":[101,115],"reduction":[102],"in":[103,110],"will":[105],"lead":[106],"to":[107,139],"an":[108],"increase":[109],"EC,":[111],"i.e.,":[112],"there":[113],"tradeoff":[116],"EC.":[120],"Afterward,":[121],"report":[124],"different":[126,150],"optimal":[127],"values":[128],"steepness":[131],"exponent":[132],"strength":[135],"should":[136],"be":[137],"taken":[138],"minimize":[140],"total":[142],"costs":[143],"time":[145],"performance":[151],"indices.":[152]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
