{"id":"https://openalex.org/W3211265416","doi":"https://doi.org/10.1109/tac.2021.3121208","title":"Stabilization of Discrete-Time Multiplicative-Noise System Under Decentralized Controllers","display_name":"Stabilization of Discrete-Time Multiplicative-Noise System Under Decentralized Controllers","publication_year":2021,"publication_date":"2021-10-26","ids":{"openalex":"https://openalex.org/W3211265416","doi":"https://doi.org/10.1109/tac.2021.3121208","mag":"3211265416"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3121208","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3121208","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/A5100768356","display_name":"Juanjuan Xu","orcid":"https://orcid.org/0000-0003-0331-9976"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juanjuan Xu","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0003-0331-9976","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100391748","display_name":"Wei Wang","orcid":"https://orcid.org/0000-0001-7799-9463"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Wang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0001-7799-9463","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114377900","display_name":"Huanshui Zhang","orcid":"https://orcid.org/0000-0002-8611-7327"},"institutions":[{"id":"https://openalex.org/I80143920","display_name":"Shandong University of Science and Technology","ror":"https://ror.org/04gtjhw98","country_code":"CN","type":"education","lineage":["https://openalex.org/I80143920"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huanshui Zhang","raw_affiliation_strings":["College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0002-8611-7327","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao, China","institution_ids":["https://openalex.org/I80143920"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0827,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.77356042,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"67","issue":"10","first_page":"5448","last_page":"5455"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9980999827384949,"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"}},"topics":[{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9980999827384949,"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/T11236","display_name":"Control Systems and Identification","score":0.9884999990463257,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9876000285148621,"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/multiplicative-noise","display_name":"Multiplicative noise","score":0.7726249694824219},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6861959099769592},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6737264394760132},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5834439396858215},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.5813258290290833},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5232300162315369},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5194668173789978},{"id":"https://openalex.org/keywords/algebraic-riccati-equation","display_name":"Algebraic Riccati equation","score":0.5057497024536133},{"id":"https://openalex.org/keywords/noise","display_name":"Noise (video)","score":0.4973621666431427},{"id":"https://openalex.org/keywords/linear-quadratic-regulator","display_name":"Linear-quadratic regulator","score":0.4859553575515747},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4820897877216339},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.4769367575645447},{"id":"https://openalex.org/keywords/decentralised-system","display_name":"Decentralised system","score":0.44532954692840576},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.41889840364456177},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39260971546173096},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2829422652721405},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.273170530796051},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1442924439907074},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08080625534057617}],"concepts":[{"id":"https://openalex.org/C18015164","wikidata":"https://www.wikidata.org/wiki/Q6935000","display_name":"Multiplicative noise","level":5,"score":0.7726249694824219},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6861959099769592},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6737264394760132},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5834439396858215},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.5813258290290833},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5232300162315369},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5194668173789978},{"id":"https://openalex.org/C13847129","wikidata":"https://www.wikidata.org/wiki/Q4723989","display_name":"Algebraic Riccati equation","level":4,"score":0.5057497024536133},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.4973621666431427},{"id":"https://openalex.org/C98779006","wikidata":"https://www.wikidata.org/wiki/Q2520550","display_name":"Linear-quadratic regulator","level":3,"score":0.4859553575515747},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4820897877216339},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.4769367575645447},{"id":"https://openalex.org/C205875254","wikidata":"https://www.wikidata.org/wiki/Q17156857","display_name":"Decentralised system","level":3,"score":0.44532954692840576},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.41889840364456177},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39260971546173096},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2829422652721405},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.273170530796051},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1442924439907074},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08080625534057617},{"id":"https://openalex.org/C13412647","wikidata":"https://www.wikidata.org/wiki/Q174948","display_name":"Analog signal","level":3,"score":0.0},{"id":"https://openalex.org/C131021393","wikidata":"https://www.wikidata.org/wiki/Q7512759","display_name":"Signal transfer function","level":4,"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/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.0},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2021.3121208","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3121208","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":[],"awards":[{"id":"https://openalex.org/G4379815246","display_name":null,"funder_award_id":"61922051","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4525805536","display_name":null,"funder_award_id":"U1806204","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4525954048","display_name":null,"funder_award_id":"2020CXGC01208","funder_id":"https://openalex.org/F4320333596","funder_display_name":"Key Technology Research and Development Program of Shandong"},{"id":"https://openalex.org/G5523741472","display_name":null,"funder_award_id":"U1701264","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7152861903","display_name":"\u4e58\u6027\u566a\u58f0\u968f\u673a\u7ebf\u6027\u7cfb\u7edf\u6700\u4f18\u63a7\u5236\u4e0e\u53cd\u9988\u9547\u5b9a\u7814\u7a76","funder_award_id":"61633014","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7986487932","display_name":null,"funder_award_id":"61873332","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G878655878","display_name":null,"funder_award_id":"61821004","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/F4320333596","display_name":"Key Technology Research and Development Program of Shandong","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W56139714","https://openalex.org/W174731134","https://openalex.org/W1643218028","https://openalex.org/W1853375248","https://openalex.org/W1971809806","https://openalex.org/W1981629070","https://openalex.org/W1991940429","https://openalex.org/W2005902667","https://openalex.org/W2017609621","https://openalex.org/W2082094090","https://openalex.org/W2093038430","https://openalex.org/W2102316513","https://openalex.org/W2118333594","https://openalex.org/W2123737324","https://openalex.org/W2126394835","https://openalex.org/W2149617652","https://openalex.org/W2150729782","https://openalex.org/W2157277684","https://openalex.org/W2158236564","https://openalex.org/W2181123679","https://openalex.org/W2326493017","https://openalex.org/W2792046445","https://openalex.org/W2891171846","https://openalex.org/W2939438632","https://openalex.org/W2963197062","https://openalex.org/W2963254670","https://openalex.org/W2963418522","https://openalex.org/W3125744792","https://openalex.org/W4231011685","https://openalex.org/W4240719396"],"related_works":["https://openalex.org/W2727200542","https://openalex.org/W2018296362","https://openalex.org/W2334216590","https://openalex.org/W2002357820","https://openalex.org/W2005019312","https://openalex.org/W1480556931","https://openalex.org/W2547959172","https://openalex.org/W2804494800","https://openalex.org/W3004271191","https://openalex.org/W1561579480"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,58,79,99],"study":[4],"the":[5,21,51,60,65,76,81,85,89,93,101,107],"mean-square":[6,86],"stabilization":[7,87],"of":[8,50,64,71],"discrete-time":[9],"multiplicative-noise":[10],"stochastic":[11],"systems":[12],"under":[13,88],"decentralized":[14,90],"controllers.":[15],"Two":[16],"controllers":[17,91],"are":[18],"involved":[19],"in":[20,69],"system":[22],"where":[23],"each":[24],"controller":[25],"has":[26],"access":[27],"to":[28],"different":[29],"information":[30,33,42],"and":[31,103],"one":[32,56],"set":[34],"is":[35,44,53],"contained":[36],"by":[37],"another":[38],"one.":[39],"The":[40,47],"adopted":[41],"structure":[43],"adapted":[45],"open-loop.":[46],"main":[48],"contribution":[49],"article":[52],"twofold.":[54],"On":[55,75],"hand,":[57,78],"give":[59],"unique":[61],"explicit":[62],"solution":[63,105],"finite-horizon":[66],"optimization":[67,109],"problem":[68],"terms":[70],"difference":[72],"Riccati":[73,96],"equations.":[74,97],"other":[77],"characterize":[80],"equivalent":[82],"condition":[83],"for":[84,106],"via":[92],"corresponding":[94],"algebraic":[95],"Moreover,":[98],"derive":[100],"optimal":[102],"stabilizing":[104],"infinite-horizon":[108],"problem.":[110]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
