{"id":"https://openalex.org/W1964288330","doi":"https://doi.org/10.1109/acc.2012.6315196","title":"String instability analysis of heterogeneous coupled oscillator systems","display_name":"String instability analysis of heterogeneous coupled oscillator systems","publication_year":2012,"publication_date":"2012-06-01","ids":{"openalex":"https://openalex.org/W1964288330","doi":"https://doi.org/10.1109/acc.2012.6315196","mag":"1964288330"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2012.6315196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315196","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","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/A5090759888","display_name":"Bo Yu","orcid":"https://orcid.org/0000-0003-3603-7828"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bo Yu","raw_affiliation_strings":["Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","Department of Mechanical Engineering at the University of Michigan, Ann Arbor, MI 48109-2125 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Mechanical Engineering at the University of Michigan, Ann Arbor, MI 48109-2125 USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054937464","display_name":"J.S. Freudenberg","orcid":"https://orcid.org/0000-0002-1366-6974"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. S. Freudenberg","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","Department of Electrical Engineering and Computer Science University of Michigan Ann Arbor MI 48109-2122 USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science University of Michigan Ann Arbor MI 48109-2122 USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020611092","display_name":"R. Brent Gillespie","orcid":"https://orcid.org/0000-0002-1051-0026"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. B. Gillespie","raw_affiliation_strings":["Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","Department of Mechanical Engineering at the University of Michigan, Ann Arbor, MI 48109-2125 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Mechanical Engineering at the University of Michigan, Ann Arbor, MI 48109-2125 USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5090759888"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":1.65842179,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.85292694,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"6638","last_page":"6643"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10524","display_name":"Traffic control and management","score":0.9986000061035156,"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/T10524","display_name":"Traffic control and management","score":0.9986000061035156,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9912999868392944,"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/T10698","display_name":"Transportation Planning and Optimization","score":0.9613999724388123,"subfield":{"id":"https://openalex.org/subfields/3313","display_name":"Transportation"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6248328685760498},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.5752037763595581},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.5432426333427429},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.5396834015846252},{"id":"https://openalex.org/keywords/bandwidth","display_name":"Bandwidth (computing)","score":0.5270248651504517},{"id":"https://openalex.org/keywords/headway","display_name":"Headway","score":0.5224632024765015},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49987173080444336},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4674696922302246},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"Harmonic oscillator","score":0.4455375671386719},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.4140869379043579},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.37827426195144653},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3342869281768799},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2962413430213928},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.21501123905181885},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19688740372657776},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.17597201466560364},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14553171396255493},{"id":"https://openalex.org/keywords/simulation","display_name":"Simulation","score":0.12905043363571167},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09744051098823547}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6248328685760498},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.5752037763595581},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.5432426333427429},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.5396834015846252},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.5270248651504517},{"id":"https://openalex.org/C2779240695","wikidata":"https://www.wikidata.org/wiki/Q4383682","display_name":"Headway","level":2,"score":0.5224632024765015},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49987173080444336},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4674696922302246},{"id":"https://openalex.org/C40934718","wikidata":"https://www.wikidata.org/wiki/Q190070","display_name":"Harmonic oscillator","level":2,"score":0.4455375671386719},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.4140869379043579},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.37827426195144653},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3342869281768799},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2962413430213928},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.21501123905181885},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19688740372657776},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.17597201466560364},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14553171396255493},{"id":"https://openalex.org/C44154836","wikidata":"https://www.wikidata.org/wiki/Q45045","display_name":"Simulation","level":1,"score":0.12905043363571167},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09744051098823547},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/acc.2012.6315196","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2012.6315196","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 American Control Conference (ACC)","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":10,"referenced_works":["https://openalex.org/W1593028398","https://openalex.org/W1988095001","https://openalex.org/W2017819785","https://openalex.org/W2024783403","https://openalex.org/W2101691062","https://openalex.org/W2122253031","https://openalex.org/W2149087996","https://openalex.org/W2152170081","https://openalex.org/W2158668458","https://openalex.org/W2160643434"],"related_works":["https://openalex.org/W1990084320","https://openalex.org/W3011309105","https://openalex.org/W2363400661","https://openalex.org/W2140196366","https://openalex.org/W2051775676","https://openalex.org/W44667219","https://openalex.org/W4313172028","https://openalex.org/W2345649773","https://openalex.org/W2902251460","https://openalex.org/W3126888195"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,41,58],"consider":[4],"the":[5,17,34,46,64,69,79,84,91,105],"disturbance":[6,76],"response":[7,67,89],"for":[8,51,99],"a":[9,23,60,75,88],"heterogeneous":[10],"string":[11,85,100],"of":[12,26,45,48,68,104],"harmonic":[13],"oscillators.":[14],"We":[15,94],"assume":[16],"individual":[18],"controllers":[19],"can":[20],"communicate":[21],"with":[22],"limited":[24],"range":[25],"neighbors":[27],"and":[28,115],"be":[29],"tuned":[30],"independently.":[31],"Motivated":[32],"by":[33],"speed-dependent":[35],"spacing":[36],"policy":[37],"in":[38,90,102],"vehicle":[39],"platooning,":[40],"develop":[42],"an":[43],"extension":[44],"concept":[47],"time":[49,111],"headway":[50],"oscillator":[52,81],"systems.":[53],"Using":[54],"fundamental":[55],"limitations":[56],"theory,":[57],"derive":[59],"lower":[61],"bound":[62],"on":[63],"peak":[65],"magnitude":[66],"transfer":[70],"function":[71],"that":[72],"describes":[73],"how":[74],"applied":[77],"to":[78,86],"lead":[80],"propagates":[82],"along":[83],"produce":[87],"last":[92],"oscillator.":[93],"then":[95],"give":[96],"sufficient":[97],"conditions":[98],"instability":[101],"terms":[103],"separation":[106],"policy,":[107],"communication":[108],"ranges,":[109],"certain":[110],"domain":[112],"performance":[113],"specifications,":[114],"bandwidth":[116],"limitations.":[117]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}