{"id":"https://openalex.org/W2128371254","doi":"https://doi.org/10.1109/tac.2010.2054890","title":"Minimum Data Rate for Mean Square Stabilization of Discrete LTI Systems Over Lossy Channels","display_name":"Minimum Data Rate for Mean Square Stabilization of Discrete LTI Systems Over Lossy Channels","publication_year":2010,"publication_date":"2010-07-01","ids":{"openalex":"https://openalex.org/W2128371254","doi":"https://doi.org/10.1109/tac.2010.2054890","mag":"2128371254"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2054890","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2054890","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/A5088962631","display_name":"Keyou You","orcid":"https://orcid.org/0000-0003-4355-5340"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Keyou You","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore","Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, , Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, , Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100365448","display_name":"Lihua Xie","orcid":"https://orcid.org/0000-0002-7137-4136"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Lihua Xie","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore","Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, , Singapore"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, , Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088962631"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":34.2196,"has_fulltext":false,"cited_by_count":146,"citation_normalized_percentile":{"value":0.99760087,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"55","issue":"10","first_page":"2373","last_page":"2378"},"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":1.0,"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":1.0,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9962000250816345,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9939000010490417,"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/lossy-compression","display_name":"Lossy compression","score":0.7720808982849121},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6531945466995239},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.650749683380127},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.5652738809585571},{"id":"https://openalex.org/keywords/dropout","display_name":"Dropout (neural networks)","score":0.527955174446106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49880361557006836},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.47478100657463074},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.4721817076206207},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.43859803676605225},{"id":"https://openalex.org/keywords/packet-loss","display_name":"Packet loss","score":0.4251047670841217},{"id":"https://openalex.org/keywords/minimum-mean-square-error","display_name":"Minimum mean square error","score":0.4187995195388794},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.39316338300704956},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3369295001029968},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20931240916252136},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.1921301782131195},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11566421389579773},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08586177229881287}],"concepts":[{"id":"https://openalex.org/C165021410","wikidata":"https://www.wikidata.org/wiki/Q55564","display_name":"Lossy compression","level":2,"score":0.7720808982849121},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6531945466995239},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.650749683380127},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.5652738809585571},{"id":"https://openalex.org/C2776145597","wikidata":"https://www.wikidata.org/wiki/Q25339462","display_name":"Dropout (neural networks)","level":2,"score":0.527955174446106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49880361557006836},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.47478100657463074},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.4721817076206207},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.43859803676605225},{"id":"https://openalex.org/C54108766","wikidata":"https://www.wikidata.org/wiki/Q391064","display_name":"Packet loss","level":3,"score":0.4251047670841217},{"id":"https://openalex.org/C90652560","wikidata":"https://www.wikidata.org/wiki/Q11091747","display_name":"Minimum mean square error","level":3,"score":0.4187995195388794},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.39316338300704956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3369295001029968},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20931240916252136},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.1921301782131195},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11566421389579773},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08586177229881287},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2010.2054890","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2054890","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W83533993","https://openalex.org/W195742490","https://openalex.org/W601863383","https://openalex.org/W1534096605","https://openalex.org/W1978848993","https://openalex.org/W1981629070","https://openalex.org/W1988217708","https://openalex.org/W2019826771","https://openalex.org/W2022406843","https://openalex.org/W2052334067","https://openalex.org/W2063130716","https://openalex.org/W2065169455","https://openalex.org/W2065585571","https://openalex.org/W2095216716","https://openalex.org/W2099111195","https://openalex.org/W2118048279","https://openalex.org/W2139384666","https://openalex.org/W2140355755","https://openalex.org/W2142044905","https://openalex.org/W2152898444","https://openalex.org/W2156216606","https://openalex.org/W2157076370","https://openalex.org/W2159535726","https://openalex.org/W2161580326","https://openalex.org/W2164231325","https://openalex.org/W2164522996","https://openalex.org/W2478708596","https://openalex.org/W6666821689"],"related_works":["https://openalex.org/W3082178636","https://openalex.org/W1521968289","https://openalex.org/W2782041652","https://openalex.org/W2952088488","https://openalex.org/W2392157706","https://openalex.org/W2599192953","https://openalex.org/W2612657834","https://openalex.org/W2792147139","https://openalex.org/W2514220927","https://openalex.org/W2582745083"],"abstract_inverted_index":{"This":[0],"note":[1],"investigates":[2],"the":[3,25,41,54,59,66,69,76,88],"minimum":[4,42],"data":[5,43,84],"rate":[6,44,72,85],"for":[7,87],"mean":[8,89],"square":[9,90],"stabilization":[10,91],"of":[11,24,50,53,68,78,92],"discrete":[12],"linear":[13],"time-invariant":[14],"systems":[15,95],"over":[16],"a":[17],"lossy":[18],"channel.":[19],"The":[20],"packet":[21,60,79],"dropout":[22,61],"process":[23],"channel":[26],"is":[27,45],"modeled":[28],"as":[29,98],"an":[30],"independent":[31],"and":[32,58],"identically":[33],"distributed":[34],"process.":[35],"For":[36],"general":[37],"single":[38],"input":[39,94],"systems,":[40],"explicitly":[46],"given":[47],"in":[48],"terms":[49],"unstable":[51],"eigenvalues":[52],"open":[55],"loop":[56],"matrix":[57],"rate,":[62],"which":[63],"clearly":[64],"reveals":[65],"amount":[67],"additional":[70],"bit":[71],"required":[73],"to":[74],"counter":[75],"effect":[77],"dropouts":[80],"on":[81],"stabilization.":[82],"Sufficient":[83],"conditions":[86],"multiple":[93],"are":[96],"derived":[97],"well.":[99]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":14},{"year":2012,"cited_by_count":14}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
