{"id":"https://openalex.org/W2143205324","doi":"https://doi.org/10.1109/cdc.2007.4434641","title":"The coarsest logarithmic quantizers for stabilization of linear systems with packet losses","display_name":"The coarsest logarithmic quantizers for stabilization of linear systems with packet losses","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2143205324","doi":"https://doi.org/10.1109/cdc.2007.4434641","mag":"2143205324"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434641","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434641","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-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/A5054832934","display_name":"Hiroto Hoshina","orcid":null},"institutions":[{"id":"https://openalex.org/I153327471","display_name":"Bunkyo University","ror":"https://ror.org/053h75930","country_code":"JP","type":"education","lineage":["https://openalex.org/I153327471"]},{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroto Hoshina","raw_affiliation_strings":["Department of Information Physics and Computing, University of Tokyo, Bunkyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Physics and Computing, University of Tokyo, Bunkyo, Tokyo, Japan","institution_ids":["https://openalex.org/I153327471","https://openalex.org/I74801974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029092749","display_name":"Koji Tsumura","orcid":null},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]},{"id":"https://openalex.org/I153327471","display_name":"Bunkyo University","ror":"https://ror.org/053h75930","country_code":"JP","type":"education","lineage":["https://openalex.org/I153327471"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koji Tsumura","raw_affiliation_strings":["Department of Information Physics and Computing, University of Tokyo, Bunkyo, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Information Physics and Computing, University of Tokyo, Bunkyo, Tokyo, Japan","institution_ids":["https://openalex.org/I153327471","https://openalex.org/I74801974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081056634","display_name":"Hideaki Ishii","orcid":"https://orcid.org/0000-0003-0367-824X"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hideaki Ishii","raw_affiliation_strings":["Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, Yokohama, Japan","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054832934"],"corresponding_institution_ids":["https://openalex.org/I153327471","https://openalex.org/I74801974"],"apc_list":null,"apc_paid":null,"fwci":13.9348,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.98763137,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2235","last_page":"2240"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9936000108718872,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9927999973297119,"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/quantization","display_name":"Quantization (signal processing)","score":0.7307464480400085},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6081975698471069},{"id":"https://openalex.org/keywords/packet-loss","display_name":"Packet loss","score":0.5995920300483704},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5973060131072998},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5704476833343506},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.5517466068267822},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5190849304199219},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5174163579940796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4759518802165985},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4674827456474304},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4573580026626587},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.43897050619125366},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4278016984462738},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3689788579940796},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30103403329849243},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2117043137550354},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09906521439552307},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0903407633304596}],"concepts":[{"id":"https://openalex.org/C28855332","wikidata":"https://www.wikidata.org/wiki/Q198099","display_name":"Quantization (signal processing)","level":2,"score":0.7307464480400085},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6081975698471069},{"id":"https://openalex.org/C54108766","wikidata":"https://www.wikidata.org/wiki/Q391064","display_name":"Packet loss","level":3,"score":0.5995920300483704},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5973060131072998},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5704476833343506},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.5517466068267822},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5190849304199219},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5174163579940796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4759518802165985},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4674827456474304},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4573580026626587},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.43897050619125366},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4278016984462738},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3689788579940796},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30103403329849243},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2117043137550354},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09906521439552307},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0903407633304596},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"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/cdc.2007.4434641","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434641","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1537521045","https://openalex.org/W1978848993","https://openalex.org/W1981629070","https://openalex.org/W2061843942","https://openalex.org/W2079538138","https://openalex.org/W2095216716","https://openalex.org/W2122161467","https://openalex.org/W2125474808","https://openalex.org/W2131786117","https://openalex.org/W2134051456","https://openalex.org/W2147341361","https://openalex.org/W2153392494","https://openalex.org/W2155024125","https://openalex.org/W2156216606","https://openalex.org/W2157076370","https://openalex.org/W2163910870","https://openalex.org/W2164522996","https://openalex.org/W3134653577","https://openalex.org/W6791267575"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2144143333","https://openalex.org/W2299538996","https://openalex.org/W4386631510","https://openalex.org/W2027136373","https://openalex.org/W2276636510","https://openalex.org/W1990421243","https://openalex.org/W2105658174","https://openalex.org/W776139355","https://openalex.org/W3007064390"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"consider":[4],"to":[5,74],"derive":[6],"the":[7,25,34,38,44,49,53,63,66],"coarsest":[8],"memory-less":[9],"quantizer":[10],"which":[11],"can":[12],"stabilize":[13],"a":[14],"single-input":[15],"discrete-time":[16],"linear":[17],"time-invariant":[18],"system":[19],"with":[20,58],"stochastic":[21,28],"packet":[22,45],"loss":[23,46],"in":[24,72],"sense":[26],"of":[27,37,52,65],"quadratic":[29],"stability.":[30],"We":[31,55],"show":[32],"that":[33],"upper":[35],"bound":[36],"coarseness":[39],"is":[40],"strictly":[41],"given":[42],"by":[43],"probability":[47],"and":[48,68],"unstable":[50],"poles":[51],"plants.":[54],"furthermore":[56],"deal":[57],"permissible":[59],"dead-zone":[60],"width":[61],"around":[62],"origin":[64],"quantizers":[67,71],"time-varying":[69],"finite":[70,78],"order":[73],"realize":[75],"control":[76],"using":[77],"quantization":[79],"steps.":[80]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
