{"id":"https://openalex.org/W4210297873","doi":"https://doi.org/10.1109/cdc45484.2021.9683143","title":"Vibrational Stabilization Using Lifting and the Root Locus","display_name":"Vibrational Stabilization Using Lifting and the Root Locus","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4210297873","doi":"https://doi.org/10.1109/cdc45484.2021.9683143"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683143","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683143","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"2021 60th IEEE Conference on Decision and Control (CDC)","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/A5075788804","display_name":"Karthik Chikmagalur","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Karthik Chikmagalur","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5071239059","display_name":"Bassam Bamieh","orcid":"https://orcid.org/0000-0001-9237-4613"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bassam Bamieh","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075788804"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.25535881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"225","issue":null,"first_page":"3287","last_page":"3292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9970999956130981,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9970999956130981,"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":0.9970999956130981,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9965999722480774,"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/root-locus","display_name":"Root locus","score":0.915900468826294},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7216633558273315},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6562052965164185},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5456720590591431},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5443562269210815},{"id":"https://openalex.org/keywords/locus","display_name":"Locus (genetics)","score":0.49375519156455994},{"id":"https://openalex.org/keywords/parameter-space","display_name":"Parameter space","score":0.42693910002708435},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.41145262122154236},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.3970305323600769},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3788831830024719},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3422431945800781},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2528219223022461},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16320085525512695},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14200061559677124},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10313913226127625}],"concepts":[{"id":"https://openalex.org/C27162326","wikidata":"https://www.wikidata.org/wiki/Q957693","display_name":"Root locus","level":3,"score":0.915900468826294},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7216633558273315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6562052965164185},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5456720590591431},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5443562269210815},{"id":"https://openalex.org/C84597430","wikidata":"https://www.wikidata.org/wiki/Q106227","display_name":"Locus (genetics)","level":3,"score":0.49375519156455994},{"id":"https://openalex.org/C73586568","wikidata":"https://www.wikidata.org/wiki/Q2600211","display_name":"Parameter space","level":2,"score":0.42693910002708435},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.41145262122154236},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3970305323600769},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3788831830024719},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3422431945800781},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2528219223022461},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16320085525512695},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14200061559677124},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10313913226127625},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/cdc45484.2021.9683143","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683143","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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":"2021 60th IEEE Conference on Decision and Control (CDC)","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":11,"referenced_works":["https://openalex.org/W1482570919","https://openalex.org/W1901741820","https://openalex.org/W1980404247","https://openalex.org/W2046892163","https://openalex.org/W2074257552","https://openalex.org/W2080452342","https://openalex.org/W2104765999","https://openalex.org/W2110358887","https://openalex.org/W2951445148","https://openalex.org/W3045577480","https://openalex.org/W4253424795"],"related_works":["https://openalex.org/W4312199038","https://openalex.org/W4250181516","https://openalex.org/W2187608289","https://openalex.org/W1589479487","https://openalex.org/W2383997732","https://openalex.org/W1997262669","https://openalex.org/W2330262400","https://openalex.org/W2351677728","https://openalex.org/W2155658788","https://openalex.org/W2120481208"],"abstract_inverted_index":{"We":[0,12,161,203],"study":[1],"the":[2,47,54,125,141,163,169,175,209,215],"problem":[3],"of":[4,53,112,214],"sensor-less":[5],"vibrational":[6],"control":[7],"through":[8,168],"periodic,":[9],"parametric":[10,38],"forcing.":[11,39],"introduce":[13],"a":[14,20,28,51,58,61,68,79,101,119],"new":[15],"analysis":[16,31],"technique":[17,41,145,164],"based":[18,43],"on":[19,44,208],"lifting":[21],"procedure":[22],"for":[23,173],"time-periodic":[24,55],"systems,":[25,153],"combined":[26],"with":[27,78,90,100,106,118,194,205],"root":[29,126,137,142,184],"locus":[30,127,138,185],"to":[32,148,150,157,188],"determine":[33],"stabilization":[34],"or":[35,200],"destabilization":[36],"by":[37,182],"Our":[40],"is":[42,75,99,146],"several":[45],"equivalences,":[46],"first":[48],"one":[49],"being":[50],"decomposition":[52],"system":[56,66,81,105],"into":[57],"feedback":[59,85,117],"between":[60],"Linear":[62],"Time":[63],"Invariant":[64],"(LTI)":[65],"and":[67,93,114,154,211],"periodically-time":[69],"varying":[70],"memoryless":[71],"gain.":[72],"The":[73,96],"second":[74,158],"an":[76,107],"equivalence":[77,98],"lifted":[80],"in":[82,116,165,178,192],"which":[83,174],"both":[84],"components":[86],"are":[87,186],"LTI,":[88],"but":[89,109],"infinite-dimensional":[91],"input":[92],"output":[94],"spaces.":[95],"third":[97],"Single-Input-Single-Output":[102],"(SISO)":[103],"LTI":[104],"infinite,":[108],"regular":[110],"pattern":[111],"poles":[113],"zeros":[115],"static":[120],"gain":[121],"that":[122],"serves":[123],"as":[124],"parameter.":[128],"Stability":[129],"criteria":[130],"can":[131],"then":[132],"be":[133,189],"easily":[134],"obtained":[135],"from":[136],"plots.":[139],"Like":[140],"locus,":[143],"our":[144],"simple":[147],"apply":[149],"higher":[151],"order":[152,159],"not":[155],"only":[156],"systems.":[160],"illustrate":[162],"this":[166,183],"paper":[167],"Kapitza":[170],"pendulum":[171],"example,":[172],"stability":[176],"boundaries":[177],"parameter":[179],"space":[180],"predicted":[181],"found":[187],"fairly":[190],"accurate":[191],"comparison":[193],"classical":[195],"methods":[196],"like":[197],"Floquet":[198],"theory":[199],"dynamical":[201],"averaging.":[202],"conclude":[204],"some":[206],"remarks":[207],"accuracy":[210],"potential":[212],"generalizations":[213],"method.":[216]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
