{"id":"https://openalex.org/W4295854754","doi":"https://doi.org/10.23919/acc53348.2022.9867251","title":"Distribution of Real and Imaginary Zeros of Multi-DoF Undamped Flexible Systems","display_name":"Distribution of Real and Imaginary Zeros of Multi-DoF Undamped Flexible Systems","publication_year":2022,"publication_date":"2022-06-08","ids":{"openalex":"https://openalex.org/W4295854754","doi":"https://doi.org/10.23919/acc53348.2022.9867251"},"language":"en","primary_location":{"id":"doi:10.23919/acc53348.2022.9867251","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867251","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 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/A5060326873","display_name":"Siddharth Rath","orcid":"https://orcid.org/0000-0002-9488-418X"},"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":"Siddharth Rath","raw_affiliation_strings":["University of Michigan,Precision Systems Design Lab, Mechanical Engineering,Ann Arbor,USA,MI 48103"],"affiliations":[{"raw_affiliation_string":"University of Michigan,Precision Systems Design Lab, Mechanical Engineering,Ann Arbor,USA,MI 48103","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060903173","display_name":"Arunav Maheshwari","orcid":null},"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":"Arunav Maheshwari","raw_affiliation_strings":["University of Michigan,Precision Systems Design Lab, Mechanical Engineering,Ann Arbor,USA,MI 48103"],"affiliations":[{"raw_affiliation_string":"University of Michigan,Precision Systems Design Lab, Mechanical Engineering,Ann Arbor,USA,MI 48103","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075990917","display_name":"Shorya Awtar","orcid":"https://orcid.org/0000-0002-7765-0402"},"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":"Shorya Awtar","raw_affiliation_strings":["University of Michigan,Precision Systems Design Lab, Mechanical Engineering,Ann Arbor,USA,MI 48103"],"affiliations":[{"raw_affiliation_string":"University of Michigan,Precision Systems Design Lab, Mechanical Engineering,Ann Arbor,USA,MI 48103","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060326873"],"corresponding_institution_ids":["https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":0.3545,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.42628918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"3759","last_page":"3765"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9998999834060669,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9998999834060669,"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":0.9993000030517578,"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/T11096","display_name":"Aeroelasticity and Vibration Control","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/complex-plane","display_name":"Complex plane","score":0.8072982430458069},{"id":"https://openalex.org/keywords/pole\u2013zero-plot","display_name":"Pole\u2013zero plot","score":0.7655092477798462},{"id":"https://openalex.org/keywords/modal","display_name":"Modal","score":0.722627580165863},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.6949136257171631},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5817837119102478},{"id":"https://openalex.org/keywords/minimum-phase","display_name":"Minimum phase","score":0.5699882507324219},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5405688285827637},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5298944115638733},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4402908682823181},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.432875394821167},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.42076972126960754},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36429929733276367},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3525391221046448},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12991243600845337},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10807514190673828}],"concepts":[{"id":"https://openalex.org/C179117685","wikidata":"https://www.wikidata.org/wiki/Q328998","display_name":"Complex plane","level":2,"score":0.8072982430458069},{"id":"https://openalex.org/C43656286","wikidata":"https://www.wikidata.org/wiki/Q2100961","display_name":"Pole\u2013zero plot","level":3,"score":0.7655092477798462},{"id":"https://openalex.org/C71139939","wikidata":"https://www.wikidata.org/wiki/Q910194","display_name":"Modal","level":2,"score":0.722627580165863},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.6949136257171631},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5817837119102478},{"id":"https://openalex.org/C170263048","wikidata":"https://www.wikidata.org/wiki/Q489593","display_name":"Minimum phase","level":3,"score":0.5699882507324219},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5405688285827637},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5298944115638733},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4402908682823181},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.432875394821167},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.42076972126960754},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36429929733276367},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3525391221046448},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12991243600845337},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10807514190673828},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C188027245","wikidata":"https://www.wikidata.org/wiki/Q750446","display_name":"Polymer chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.23919/acc53348.2022.9867251","is_oa":false,"landing_page_url":"https://doi.org/10.23919/acc53348.2022.9867251","pdf_url":null,"source":{"id":"https://openalex.org/S4363607732","display_name":"2022 American Control Conference (ACC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1881127686","https://openalex.org/W1942853573","https://openalex.org/W1963970719","https://openalex.org/W1969705665","https://openalex.org/W1978325837","https://openalex.org/W1983855219","https://openalex.org/W1984056095","https://openalex.org/W1984078321","https://openalex.org/W1986189101","https://openalex.org/W1992346226","https://openalex.org/W1998114925","https://openalex.org/W2009432197","https://openalex.org/W2012519971","https://openalex.org/W2026556338","https://openalex.org/W2034976055","https://openalex.org/W2052973229","https://openalex.org/W2085080587","https://openalex.org/W2099043630","https://openalex.org/W2103610162","https://openalex.org/W2104432081","https://openalex.org/W2130036133","https://openalex.org/W2131811499","https://openalex.org/W2138140069","https://openalex.org/W2144502318","https://openalex.org/W2154183166","https://openalex.org/W2216148097","https://openalex.org/W2593175618","https://openalex.org/W2802729570","https://openalex.org/W2892116433","https://openalex.org/W2967858241","https://openalex.org/W3133605115","https://openalex.org/W6675961412","https://openalex.org/W6688759756"],"related_works":["https://openalex.org/W2140634538","https://openalex.org/W2139448165","https://openalex.org/W2031431762","https://openalex.org/W1483643396","https://openalex.org/W2373634665","https://openalex.org/W4387451451","https://openalex.org/W3195819962","https://openalex.org/W2122960479","https://openalex.org/W4295854754","https://openalex.org/W2134692602"],"abstract_inverted_index":{"This":[0],"paper":[1,165,241,278],"investigates":[2],"the":[3,10,13,19,22,49,77,82,85,88,99,111,130,142,150,157,160,171,178,181,187,208,211,214,217,234,243,249,255,265,282,289],"distribution":[4,151,172],"of":[5,18,25,35,51,87,113,132,152,173,186,192,210,216,219,233,251,269,284,291],"zeros":[6,86,117,134,153,174,220,293],"with":[7,154,175],"respect":[8,155,176],"to":[9,125,156,177,261,264],"poles":[11,158,179,212],"on":[12,180,207,254],"imaginary":[14,184,199,256],"and":[15,67,118,183,198,213,245],"real":[16,182,197],"axes":[17,185,200],"s-plane":[20,188],"in":[21,159,163,225,239,294],"transfer":[23,33],"function":[24,34,232],"a":[26,36,107,120,231,285],"multi-DoF":[27,37,89,295],"undamped":[28,38,90,270,296],"flexible":[29,39,91,271,297],"LTI":[30,40,92,272,298],"system.":[31],"The":[32,196,237,274],"system":[41,62,93,235],"can":[42],"be":[43,262],"modally":[44],"decomposed":[45],"i.e.":[46],"expressed":[47],"as":[48,230],"sum":[50],"second":[52],"order":[53,124],"modes":[54],"where":[55],"each":[56,226],"mode":[57],"is":[58,71,106,228,259],"characterized":[59],"by":[60],"two":[61],"parameters":[63],"\u2013":[64],"modal":[65,68,78,104,137,193],"residue":[66,79,138,194],"frequency.":[69],"It":[70],"well":[72],"known":[73,260],"that":[74,148,169],"when":[75,135],"all":[76,84,103,136],"signs":[80,139],"are":[81,94,140,146,167,201],"same,":[83,143],"minimum":[95],"phase":[96,115],"(MP).":[97],"However,":[98],"same":[100],"sign":[101],"for":[102,110,129,189,248,288],"residues":[105],"sufficient":[108,127,246,286],"condition":[109,247,287],"elimination":[112,131,290],"non-minimum":[114],"(NMP)":[116],"not":[119,141],"necessary":[121,244],"one.":[122],"In":[123],"find":[126],"conditions":[128],"NMP":[133,292],"specific":[144],"results":[145,166,238,275],"needed":[147],"explain":[149],"s-plane.":[161],"Therefore,":[162],"this":[164,240,277],"provided":[168],"elucidate":[170],"any":[190],"combination":[191],"signs.":[195],"divided":[202],"into":[203],"four":[204],"segments":[205],"based":[206],"location":[209],"parity":[215],"number":[218],"(i.e.":[221],"even":[222],"or":[223],"odd)":[224],"segment":[227],"derived":[229],"parameters.":[236],"provide":[242],"occurrence":[250],"pole-zero":[252],"flipping":[253],"axis":[257],"which":[258],"detrimental":[263],"closed-loop":[266],"dynamic":[267],"performance":[268],"systems.":[273,299],"from":[276],"will":[279],"also":[280],"enable":[281],"derivation":[283]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
