{"id":"https://openalex.org/W1687498971","doi":"https://doi.org/10.7907/229f-f376","title":"Effects of actuator limits in bifurcation control with applications to active control of fluid instabilities in turbomachinery","display_name":"Effects of actuator limits in bifurcation control with applications to active control of fluid instabilities in turbomachinery","publication_year":2005,"publication_date":"2005-06-28","ids":{"openalex":"https://openalex.org/W1687498971","doi":"https://doi.org/10.7907/229f-f376","mag":"1687498971"},"language":"en","primary_location":{"id":"pmh:oai:thesis.library.caltech.edu:2753","doi":null,"is_oa":false,"landing_page_url":"https://thesis.library.caltech.edu/2753/1/Wang_y_2000.pdf","pdf_url":"https://thesis.library.caltech.edu/2753/1/Wang_y_2000.pdf","source":{"id":"https://openalex.org/S4306402402","display_name":"CaltechTHESIS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Thesis"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.7907/229f-f376","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100424532","display_name":"Yong Wang","orcid":"https://orcid.org/0000-0003-2507-8333","observed_orcids":["https://orcid.org/0000-0003-2507-8333"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wang, Yong","raw_affiliation_strings":["California Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"California Institute of Technology","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100424532"],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.44999998807907104,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.44999998807907104,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.11599999666213989,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10244","display_name":"Chaos control and synchronization","score":0.06629999727010727,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bifurcation-control","display_name":"bifurcation control","score":0.9589999914169312},{"id":"https://openalex.org/keywords/actuator-saturation","display_name":"actuator saturation","score":0.7139999866485596},{"id":"https://openalex.org/keywords/feedback-stabilization","display_name":"feedback stabilization","score":0.5669999718666077},{"id":"https://openalex.org/keywords/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.8370000123977661},{"id":"https://openalex.org/keywords/steady-state-bifurcation","display_name":"steady-state bifurcation","score":0.9259999990463257},{"id":"https://openalex.org/keywords/supercritical-pitchfork-bifurcation","display_name":"supercritical pitchfork bifurcation","score":0.8759999871253967},{"id":"https://openalex.org/keywords/stabilizability-conditions","display_name":"stabilizability conditions","score":0.6830000281333923},{"id":"https://openalex.org/keywords/moore-greitzer-model","display_name":"Moore-Greitzer model","score":0.8130000233650208},{"id":"https://openalex.org/keywords/gas-turbines","display_name":"gas turbines","score":0.9259999990463257},{"id":"https://openalex.org/keywords/magnetic-bearings","display_name":"magnetic bearings","score":0.9919999837875366},{"id":"https://openalex.org/keywords/domain-of-attraction","display_name":"domain of attraction","score":0.7749999761581421},{"id":"https://openalex.org/keywords/distributed-actuation","display_name":"distributed actuation","score":0.7850000262260437},{"id":"https://openalex.org/keywords/flow-instability","display_name":"flow instability","score":0.6650000214576721}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7115115523338318},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.6385089159011841},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6369798183441162},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5453805327415466},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.5028009414672852},{"id":"https://openalex.org/C85075877","wikidata":"https://www.wikidata.org/wiki/Q1154357","display_name":"Bifurcation theory","level":4,"score":0.4779377281665802},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.4661950170993805},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44406676292419434},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.43188905715942383},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3395518958568573},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2578488290309906},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.17925509810447693},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1656617820262909},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1435902714729309},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13105922937393188},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:thesis.library.caltech.edu:2753","doi":null,"is_oa":false,"landing_page_url":"https://thesis.library.caltech.edu/2753/1/Wang_y_2000.pdf","pdf_url":"https://thesis.library.caltech.edu/2753/1/Wang_y_2000.pdf","source":{"id":"https://openalex.org/S4306402402","display_name":"CaltechTHESIS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Thesis"},{"id":"mag:1687498971","doi":null,"is_oa":false,"landing_page_url":"https://thesis.library.caltech.edu/2753/","pdf_url":null,"source":{"id":"https://openalex.org/S4306522422","display_name":"PhDT","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"PhDT","raw_type":null},{"id":"doi:10.7907/229f-f376","doi":"https://doi.org/10.7907/229f-f376","is_oa":true,"landing_page_url":"https://doi.org/10.7907/229f-f376","pdf_url":null,"source":{"id":"https://openalex.org/S7407050848","display_name":"Caltech Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"thesis"}],"best_oa_location":{"id":"doi:10.7907/229f-f376","doi":"https://doi.org/10.7907/229f-f376","is_oa":true,"landing_page_url":"https://doi.org/10.7907/229f-f376","pdf_url":null,"source":{"id":"https://openalex.org/S7407050848","display_name":"Caltech Library","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"thesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2014564934","https://openalex.org/W2148970056","https://openalex.org/W1513048477","https://openalex.org/W2038150727","https://openalex.org/W2726180976","https://openalex.org/W2036219060","https://openalex.org/W2483933855","https://openalex.org/W2151099310","https://openalex.org/W2147211724","https://openalex.org/W2026246097"],"abstract_inverted_index":{"Feedback":[0],"stabilization":[1,160,349],"is":[2,19,27,65,113,145,167,194,398],"one":[3],"of":[4,15,32,45,57,62,69,74,85,95,126,156,212,230,247,250,274,300,321,332,360],"the":[5,22,25,39,43,70,80,96,105,109,116,120,143,147,192,198,210,248,253,263,268,294,305,329,336,358,378,417],"most":[6],"dominant":[7],"issues":[8,239],"in":[9,72,88,100,240,271,279,347,365,406,413],"modern":[10],"control":[11,17,33,73,84,241,273,337,370,408],"theory.":[12],"The":[13,60,154,228,343,381],"validity":[14],"linear":[16,46,284,333],"design":[18,338],"based":[20],"on":[21],"assumption":[23],"that":[24,399],"system":[26,53,144,193,330],"stabilizable.":[28],"With":[29],"rapid":[30],"broadening":[31],"applications":[34],"to":[35,50,66,78,82,170,222,252,267,298,353,416],"complex":[36],"systems":[37,162],"during":[38],"past":[40],"two":[41,94],"decades,":[42],"attainability":[44],"stabilizability":[47,285],"sometimes":[48],"has":[49],"compromise":[51],"with":[52,163,394],"constraints":[54,401],"and":[55,77,115,189,203,234,277,302,324,362,368,374,409],"affordability":[56,301],"distributed":[58,290],"actuation.":[59],"goal":[61],"this":[63],"thesis":[64],"tackle":[67],"some":[68],"problems":[71],"nonequilibrium":[75],"behavior":[76],"apply":[79,262],"theory":[81],"active":[83,272,366],"fluid":[86],"instabilities":[87],"gas":[89,280],"turbine":[90,281],"engines.":[91,282,419],"We":[92,243,261,356],"consider":[93],"simplest":[97],"nontrivial":[98],"scenarios":[99],"local":[101,157],"smooth":[102,158,226],"feedback":[103,149,159],"stabilization:":[104],"steady-state":[106,215],"case,":[107,118],"when":[108,119,142,392],"linearly":[110],"unstabilizable":[111,121,165],"eigenvalue":[112],"zero;":[114],"Hopf":[117,217],"eigenvalues":[122],"are":[123,206,237,402],"a":[124,177,184,213,225,319,340],"pair":[125],"pure":[127],"imaginary":[128],"numbers.":[129],"Under":[130,173],"certain":[131,174],"nondegeneracy":[132,175],"conditions,":[133,176],"we":[134],"give":[135,244,388],"explicit":[136],"algebraic":[137],"conditions":[138,205],"for":[139,161,384],"stabilizability.":[140],"And":[141],"stabilizable,":[146],"stabilizing":[148],"can":[150,180,219,286,350],"be":[151,181,220,287,351,411],"explicitly":[152],"constructed.":[153],"problem":[155],"critical":[164],"modes":[166],"closely":[168],"related":[169],"bifurcation":[171,179,187,199,218,348],"control.":[172],"steady-state/Hopf":[178],"turned":[182],"into":[183],"supercritical":[185,223],"pitchfork/Hopf":[186],"if":[188,191],"only":[190],"locally":[195],"stabilizable":[196],"at":[197],"point.":[200],"Algebraic":[201],"necessary":[202],"sufficient":[204],"derived":[207],"under":[208,258],"which":[209],"criticality":[211],"simple":[214,308],"or":[216],"changed":[221],"by":[224],"feedback.":[227],"effects":[229,359],"magnitude":[231,361],"saturation,":[232],"bandwidth,":[233],"rate":[235,363],"limits":[236,293],"important":[238],"engineering.":[242],"qualitative":[245,390],"estimates":[246],"region":[249],"attraction":[251],"stabilized":[254],"bifurcating":[255],"equilibrium/periodic":[256],"orbits":[257],"these":[259,354,400],"constraints.":[260],"above":[264,344],"theoretical":[265],"results":[266,346],"Moore-Greitzer":[269,379],"model":[270],"rotating":[275],"stall":[276,367,407],"surge":[278,369],"Though":[283],"achieved":[288],"using":[289,371,377],"actuation,":[291],"it":[292],"practical":[295,414],"usefulness":[296],"due":[297],"considerations":[299],"reliability.":[303],"On":[304],"other":[306],"hand,":[307],"but":[309],"practically":[310],"promising":[311],"actuation":[312,387],"schemes":[313],"such":[314],"as":[315],"outlet":[316],"bleed":[317,372,385],"valves,":[318],"couple":[320],"air":[322],"injectors,":[323],"magnetic":[325,375],"bearings":[326,376],"will":[327],"make":[328],"loss":[331],"stabilizability,":[334],"thus":[335],"becomes":[339],"challenging":[341],"task.":[342],"mentioned":[345],"applied":[352],"cases.":[355],"analyze":[357],"saturations":[364],"valves":[373],"model.":[380],"analytical":[382],"formulas":[383],"valve":[386],"good":[389],"predictions":[391],"compared":[393],"experiments.":[395],"Our":[396],"conclusion":[397],"serious":[403],"limiting":[404],"factors":[405],"must":[410],"addressed":[412],"implementation":[415],"aircraft":[418]},"counts_by_year":[],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2016-06-24T00:00:00"}