{"id":"https://openalex.org/W1968528674","doi":"https://doi.org/10.1093/imamci/dnp011","title":"Supplement to: 'Boundary stabilization of hyperbolic systems related to overhead cranes' [H. Sano, IMA J. Math. Control Inf. (2008) vol. 25, 353-366, doi:10.1093/imamci/dnm031]","display_name":"Supplement to: 'Boundary stabilization of hyperbolic systems related to overhead cranes' [H. Sano, IMA J. Math. Control Inf. (2008) vol. 25, 353-366, doi:10.1093/imamci/dnm031]","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W1968528674","doi":"https://doi.org/10.1093/imamci/dnp011","mag":"1968528674"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnp011","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnp011","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5101890858","display_name":"Hideki Sano","orcid":"https://orcid.org/0000-0003-1053-1078"},"institutions":[{"id":"https://openalex.org/I107139324","display_name":"Kagoshima University","ror":"https://ror.org/03ss88z23","country_code":"JP","type":"education","lineage":["https://openalex.org/I107139324"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"H. Sano","raw_affiliation_strings":["Computing and Communications Center, Kagoshima University, 1-21-35 Korimoto, Kagoshima 890-0065, Japan"],"affiliations":[{"raw_affiliation_string":"Computing and Communications Center, Kagoshima University, 1-21-35 Korimoto, Kagoshima 890-0065, Japan","institution_ids":["https://openalex.org/I107139324"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5101890858"],"corresponding_institution_ids":["https://openalex.org/I107139324"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.04931699,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"26","issue":"2","first_page":"231","last_page":"237"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9968000054359436,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9968000054359436,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9836999773979187,"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/heading","display_name":"Heading (navigation)","score":0.7336309552192688},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.6059693694114685},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.604407787322998},{"id":"https://openalex.org/keywords/overhead","display_name":"Overhead (engineering)","score":0.5765254497528076},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.56242436170578},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5233023762702942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5048090219497681},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.48887866735458374},{"id":"https://openalex.org/keywords/overhead-crane","display_name":"Overhead crane","score":0.47521668672561646},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.45159009099006653},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4067409336566925},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4024730920791626},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.37019938230514526},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32897791266441345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32826799154281616},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.24524986743927002},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15810665488243103},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11552143096923828},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08038073778152466},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07807809114456177},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.07720667123794556},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.054788827896118164},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.04906105995178223}],"concepts":[{"id":"https://openalex.org/C2776937971","wikidata":"https://www.wikidata.org/wiki/Q4384217","display_name":"Heading (navigation)","level":2,"score":0.7336309552192688},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.6059693694114685},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.604407787322998},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.5765254497528076},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.56242436170578},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5233023762702942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5048090219497681},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.48887866735458374},{"id":"https://openalex.org/C2779279789","wikidata":"https://www.wikidata.org/wiki/Q1060390","display_name":"Overhead crane","level":2,"score":0.47521668672561646},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.45159009099006653},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4067409336566925},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4024730920791626},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.37019938230514526},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32897791266441345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32826799154281616},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.24524986743927002},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15810665488243103},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11552143096923828},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08038073778152466},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07807809114456177},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.07720667123794556},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.054788827896118164},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.04906105995178223},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/imamci/dnp011","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imamci/dnp011","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2526030976","https://openalex.org/W3214862398","https://openalex.org/W2365906079","https://openalex.org/W2214036184","https://openalex.org/W2357718196","https://openalex.org/W3137367350","https://openalex.org/W2358527134","https://openalex.org/W2289967364","https://openalex.org/W2144535736","https://openalex.org/W2350062309"],"abstract_inverted_index":{"In":[0],"the":[1,5,9,31,35,45,57,65,75,80,84],"paper":[2,81],"cited":[3,82],"in":[4,50,79,83],"heading,":[6],"we":[7,43,53,73],"treated":[8],"problem":[10],"of":[11,26,34,59,67],"stabilizing":[12],"a":[13,39],"flexible":[14],"cable":[15],"with":[16,38],"two":[17,24],"rigid":[18],"loads,":[19],"which":[20],"was":[21],"described":[22],"by":[23],"kinds":[25],"hyperbolic":[27],"equations.":[28],"To":[29],"show":[30],"asymptotic":[32],"stability":[33],"closed-loop":[36],"system":[37],"controller":[40],"derived":[41],"there,":[42],"used":[44],"LaSalle's":[46],"invariance":[47],"principle.":[48],"However,":[49],"that":[51],"paper,":[52],"need":[54],"to":[55,63],"supplement":[56],"proof":[58,66],"Theorem":[60,68],"5.1":[61],"and":[62],"revise":[64],"5.2.":[69],"Throughout":[70],"this":[71],"note,":[72],"use":[74],"same":[76],"notation":[77],"as":[78],"heading.":[85]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-02-25T21:11:00.739837","created_date":"2025-10-10T00:00:00"}