{"id":"https://openalex.org/W4288038435","doi":"https://doi.org/10.1137/21m1457928","title":"Time and Energy Costs for Synchronization of Kuramoto-Oscillator Networks With or Without Noise Perturbation","display_name":"Time and Energy Costs for Synchronization of Kuramoto-Oscillator Networks With or Without Noise Perturbation","publication_year":2022,"publication_date":"2022-07-26","ids":{"openalex":"https://openalex.org/W4288038435","doi":"https://doi.org/10.1137/21m1457928"},"language":"en","primary_location":{"id":"doi:10.1137/21m1457928","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1457928","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","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/A5021379677","display_name":"Nan Liang","orcid":"https://orcid.org/0000-0002-6163-0888"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nan Liang","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-6163-0888","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049411283","display_name":"Maoxing Liu","orcid":"https://orcid.org/0000-0002-3342-7209"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Maoxing Liu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003822957","display_name":"Yongzheng Sun","orcid":"https://orcid.org/0000-0001-9504-5663"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yongzheng Sun","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-9504-5663","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101872368","display_name":"Rui Xiao","orcid":"https://orcid.org/0000-0002-6745-9751"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rui Xiao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5083749009","display_name":"Lingzhi Zhao","orcid":"https://orcid.org/0000-0002-5909-0536"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lingzhi Zhao","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5909-0536","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.4242,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.89141688,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"82","issue":"4","first_page":"1336","last_page":"1355"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9998999834060669,"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/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical 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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9332000017166138,"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/energy-consumption","display_name":"Energy consumption","score":0.674516499042511},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6256523132324219},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6229107975959778},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.6105995178222656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5854296088218689},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5458382368087769},{"id":"https://openalex.org/keywords/energy-cost","display_name":"Energy cost","score":0.4615628123283386},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.3581125736236572},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33616697788238525},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.33399540185928345},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2347869873046875},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10612159967422485},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0992802083492279},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09829151630401611},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09533506631851196}],"concepts":[{"id":"https://openalex.org/C2780165032","wikidata":"https://www.wikidata.org/wiki/Q16869822","display_name":"Energy consumption","level":2,"score":0.674516499042511},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6256523132324219},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6229107975959778},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6105995178222656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5854296088218689},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5458382368087769},{"id":"https://openalex.org/C3019966295","wikidata":"https://www.wikidata.org/wiki/Q1341368","display_name":"Energy cost","level":2,"score":0.4615628123283386},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.3581125736236572},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33616697788238525},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.33399540185928345},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2347869873046875},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10612159967422485},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0992802083492279},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09829151630401611},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09533506631851196},{"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/C170154142","wikidata":"https://www.wikidata.org/wiki/Q150737","display_name":"Architectural engineering","level":1,"score":0.0},{"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"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:10.1137/21m1457928","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m1457928","pdf_url":null,"source":{"id":"https://openalex.org/S77200987","display_name":"SIAM Journal on Applied Mathematics","issn_l":"0036-1399","issn":["0036-1399","1095-712X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.7900000214576721,"display_name":"Affordable and clean energy"}],"awards":[{"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/G7842911582","display_name":null,"funder_award_id":"2020ZDPYMS41","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W593781000","https://openalex.org/W1989495963","https://openalex.org/W2006493577","https://openalex.org/W2012565339","https://openalex.org/W2017819785","https://openalex.org/W2045371209","https://openalex.org/W2047340799","https://openalex.org/W2053956682","https://openalex.org/W2066821783","https://openalex.org/W2067809384","https://openalex.org/W2075032588","https://openalex.org/W2085135542","https://openalex.org/W2104109956","https://openalex.org/W2131850879","https://openalex.org/W2147758438","https://openalex.org/W2168448159","https://openalex.org/W2254624766","https://openalex.org/W2312565456","https://openalex.org/W2315330171","https://openalex.org/W2329269422","https://openalex.org/W2344704407","https://openalex.org/W2767959255","https://openalex.org/W2797488835","https://openalex.org/W2801085218","https://openalex.org/W2831763325","https://openalex.org/W2890240334","https://openalex.org/W2899691449","https://openalex.org/W2913307583","https://openalex.org/W2962884039","https://openalex.org/W2963784516","https://openalex.org/W3000187977","https://openalex.org/W3001735151","https://openalex.org/W3091702267","https://openalex.org/W3115491553","https://openalex.org/W4237059239"],"related_works":["https://openalex.org/W2380573388","https://openalex.org/W2369636957","https://openalex.org/W2029465934","https://openalex.org/W4231087120","https://openalex.org/W2544687545","https://openalex.org/W2375357969","https://openalex.org/W2151535469","https://openalex.org/W1631301428","https://openalex.org/W2371841467","https://openalex.org/W2031096545"],"abstract_inverted_index":{"In":[0,21],"this":[1],"paper,":[2],"time":[3,28,65,88,109,125],"and":[4,26,29,49,61,66,78,89,114,126],"energy":[5,30,67,90,97,127],"costs":[6,68,128],"for":[7,56,121],"achieving":[8,57],"synchronization":[9,25,58],"of":[10,42,64,124,129,136],"the":[11,40,44,50,62,75,96,104,108,130,133,143],"Kuramoto-oscillator":[12],"network":[13],"with":[14],"or":[15],"without":[16],"noise":[17],"perturbation":[18],"are":[19,59,69],"investigated.":[20],"order":[22],"to":[23,94,141],"achieve":[24],"optimize":[27],"consumption,":[31],"a":[32,85],"novel":[33],"switching":[34],"controller":[35],"is":[36,93],"designed,":[37],"which":[38],"combines":[39],"advantages":[41],"both":[43],"proportional":[45],"feedback":[46],"control":[47,52,105],"method":[48],"finite-time":[51],"technology.":[53],"Sufficient":[54],"conditions":[55],"established,":[60],"estimates":[63],"obtained":[70],"mathematically":[71],"as":[72],"well.":[73],"Particularly,":[74],"theoretical":[76],"analysis":[77],"simulating":[79],"calculation":[80],"show":[81],"that":[82,120],"there":[83],"exists":[84],"trade-off":[86],"between":[87],"costs.":[91],"That":[92],"say,":[95],"consumption":[98],"can":[99,138],"be":[100,139],"reduced":[101],"by":[102],"adjusting":[103],"parameters,":[106],"but":[107],"cost":[110],"will":[111],"increase":[112],"inevitably,":[113],"vice":[115],"versa.":[116],"Further,":[117],"we":[118],"find":[119],"fixed":[122],"weights":[123],"performance":[131],"index,":[132],"optimal":[134],"values":[135],"parameters":[137],"chosen":[140],"minimize":[142],"total":[144],"cost.":[145]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
