{"id":"https://openalex.org/W4415064761","doi":"https://doi.org/10.1109/lcsys.2025.3589625","title":"Two Strings With a Dynamic Interior Mass: A Feedback Control Design With Guaranteed Exponential Decay","display_name":"Two Strings With a Dynamic Interior Mass: A Feedback Control Design With Guaranteed Exponential Decay","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4415064761","doi":"https://doi.org/10.1109/lcsys.2025.3589625"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2025.3589625","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3589625","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2507.09558","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119949075","display_name":"Zoe Brown","orcid":"https://orcid.org/0009-0006-6478-2090"},"institutions":[{"id":"https://openalex.org/I94339441","display_name":"Western Kentucky University","ror":"https://ror.org/0446vnd56","country_code":"US","type":"education","lineage":["https://openalex.org/I94339441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Zoe Brown","raw_affiliation_strings":["Department of Mathematics, Western Kentucky University, Bowling Green, KY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Western Kentucky University, Bowling Green, KY, USA","institution_ids":["https://openalex.org/I94339441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056568469","display_name":"Ahmet \u00d6zer","orcid":"https://orcid.org/0000-0002-7564-2038"},"institutions":[{"id":"https://openalex.org/I94339441","display_name":"Western Kentucky University","ror":"https://ror.org/0446vnd56","country_code":"US","type":"education","lineage":["https://openalex.org/I94339441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ahmet \u00d6zkan \u00d6zer","raw_affiliation_strings":["Department of Mathematics, Western Kentucky University, Bowling Green, KY, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Western Kentucky University, Bowling Green, KY, USA","institution_ids":["https://openalex.org/I94339441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5119949075"],"corresponding_institution_ids":["https://openalex.org/I94339441"],"apc_list":null,"apc_paid":null,"fwci":4.1047,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.94481627,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"9","issue":null,"first_page":"1970","last_page":"1975"},"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":0.9990000128746033,"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":0.9990000128746033,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9508000016212463,"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":0.947700023651123,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7336000204086304},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6646000146865845},{"id":"https://openalex.org/keywords/exponential-decay","display_name":"Exponential decay","score":0.6492999792098999},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.6039999723434448},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5981000065803528},{"id":"https://openalex.org/keywords/overhead-crane","display_name":"Overhead crane","score":0.5741999745368958},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.5048999786376953},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4832000136375427}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7336000204086304},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6646000146865845},{"id":"https://openalex.org/C180188523","wikidata":"https://www.wikidata.org/wiki/Q574576","display_name":"Exponential decay","level":2,"score":0.6492999792098999},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.6039999723434448},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5981000065803528},{"id":"https://openalex.org/C2779279789","wikidata":"https://www.wikidata.org/wiki/Q1060390","display_name":"Overhead crane","level":2,"score":0.5741999745368958},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.5048999786376953},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4832000136375427},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.4668999910354614},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42089998722076416},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41600000858306885},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.4090000092983246},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.3905999958515167},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3736000061035156},{"id":"https://openalex.org/C66908091","wikidata":"https://www.wikidata.org/wiki/Q1127660","display_name":"Damped wave","level":3,"score":0.3628000020980835},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.3391999900341034},{"id":"https://openalex.org/C124139854","wikidata":"https://www.wikidata.org/wiki/Q1127660","display_name":"Damping ratio","level":3,"score":0.3310999870300293},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.32899999618530273},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.31859999895095825},{"id":"https://openalex.org/C2779960059","wikidata":"https://www.wikidata.org/wiki/Q7113681","display_name":"Overhead (engineering)","level":2,"score":0.2924000024795532},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.26649999618530273},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.2660999894142151},{"id":"https://openalex.org/C188232333","wikidata":"https://www.wikidata.org/wiki/Q2406056","display_name":"Mass ratio","level":2,"score":0.25769999623298645}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/lcsys.2025.3589625","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2025.3589625","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2507.09558","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.09558","pdf_url":"https://arxiv.org/pdf/2507.09558","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2507.09558","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2507.09558","pdf_url":"https://arxiv.org/pdf/2507.09558","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W5154596","https://openalex.org/W36491599","https://openalex.org/W1604226557","https://openalex.org/W1709659177","https://openalex.org/W1974543079","https://openalex.org/W1998972521","https://openalex.org/W2017756803","https://openalex.org/W2069675804","https://openalex.org/W2149548272","https://openalex.org/W2161097981","https://openalex.org/W2162034499","https://openalex.org/W2171079072","https://openalex.org/W2734592908","https://openalex.org/W2737524469","https://openalex.org/W2890179936","https://openalex.org/W2938599412","https://openalex.org/W2963572285","https://openalex.org/W3031053471","https://openalex.org/W3040651435","https://openalex.org/W3046541967","https://openalex.org/W3046793034","https://openalex.org/W3110612306","https://openalex.org/W3215237244","https://openalex.org/W4404909480"],"related_works":[],"abstract_inverted_index":{"This":[0],"letter":[1],"investigates":[2],"the":[3,89,103],"exponential":[4,82,98],"stabilization":[5],"of":[6,20,97],"a":[7,13,45,108],"coupled":[8],"two-string":[9],"system":[10],"joined":[11],"by":[12],"dynamic":[14],"interior":[15,119],"mass.":[16],"The":[17],"combined":[18,101],"effect":[19],"three":[21],"feedback":[22,91],"mechanisms,":[23,106],"boundary":[24,73],"damping":[25,31,38,74],"from":[26,32,39],"tip":[27,121],"velocity,":[28,34,41],"higher-order":[29],"nodal":[30,37,67],"angular":[33],"and":[35,129],"lower-order":[36,66,90],"mass":[40,59,122],"is":[42,50],"analyzed":[43],"using":[44],"Lyapunov":[46],"framework.":[47],"Exponential":[48],"stability":[49],"established":[51],"unconditionally,":[52],"without":[53,84,95],"constraints":[54],"on":[55],"wave":[56],"speeds":[57],"or":[58,72,120],"location,":[60],"improving":[61],"upon":[62],"earlier":[63],"results":[64,113],"that":[65],"damping,":[68],"as":[69,76],"in":[70,77],"Hansen-Zuazua\u201995,":[71],"alone,":[75],"Lee-You\u201989,":[78],"does":[79],"not":[80],"ensure":[81],"decay":[83,99],"additional":[85],"structural":[86],"conditions.":[87],"Moreover,":[88],"can":[92],"be":[93],"removed":[94],"loss":[96],"when":[100],"with":[102,118],"other":[104],"two":[105],"via":[107],"compact":[109],"perturbation":[110],"argument.":[111],"These":[112],"apply":[114],"to":[115],"hybrid":[116],"systems":[117],"interfaces,":[123],"including":[124],"overhead":[125],"cranes,":[126],"deep-sea":[127],"cables,":[128],"fluid":[130],"structure":[131],"interaction.":[132],"Theoretical":[133],"findings":[134],"are":[135],"validated":[136],"through":[137],"numerical":[138],"simulations.":[139]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-11T00:00:00"}
