{"id":"https://openalex.org/W2291469392","doi":"https://doi.org/10.1109/cdc.2015.7403239","title":"Analytic left inversion of multivariable Lotka-Volterra models","display_name":"Analytic left inversion of multivariable Lotka-Volterra models","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2291469392","doi":"https://doi.org/10.1109/cdc.2015.7403239","mag":"2291469392"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2015.7403239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7403239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th 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/A5110056497","display_name":"W. Steven Gray","orcid":"https://orcid.org/0000-0001-7620-9474"},"institutions":[{"id":"https://openalex.org/I81365321","display_name":"Old Dominion University","ror":"https://ror.org/04zjtrb98","country_code":"US","type":"education","lineage":["https://openalex.org/I81365321"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"W. Steven Gray","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, VA, US"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, VA, US","institution_ids":["https://openalex.org/I81365321"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005494593","display_name":"Luis A. Duffaut Espinosa","orcid":"https://orcid.org/0000-0003-4363-5375"},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luis A. Duffaut Espinosa","raw_affiliation_strings":["Department of Electrical and Computer Engineering, George Mason University, Fairfax, VA, US"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, George Mason University, Fairfax, VA, US","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046029362","display_name":"Kurusch Ebrahimi\u2010Fard","orcid":"https://orcid.org/0000-0001-5180-5835"},"institutions":[{"id":"https://openalex.org/I4210157032","display_name":"Institute of Mathematical Sciences","ror":"https://ror.org/05e9bn444","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210157032"]},{"id":"https://openalex.org/I134820265","display_name":"Consejo Superior de Investigaciones Cient\u00edficas","ror":"https://ror.org/02gfc7t72","country_code":"ES","type":"funder","lineage":["https://openalex.org/I134820265"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Kurusch Ebrahimi-Fard","raw_affiliation_strings":["Instituto de Ciencias Matematicas, Consejo Consejo Superior de Investigaciones Cientificas, Madrid, Spain"],"affiliations":[{"raw_affiliation_string":"Instituto de Ciencias Matematicas, Consejo Consejo Superior de Investigaciones Cientificas, Madrid, Spain","institution_ids":["https://openalex.org/I4210157032","https://openalex.org/I134820265"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110056497"],"corresponding_institution_ids":["https://openalex.org/I81365321"],"apc_list":null,"apc_paid":null,"fwci":4.6049,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.94503818,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"ac 27","issue":null,"first_page":"6472","last_page":"6477"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9915000200271606,"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":0.9599000215530396,"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/multivariable-calculus","display_name":"Multivariable calculus","score":0.7323315143585205},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6518995761871338},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6316959261894226},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6108808517456055},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.6032785177230835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4765744209289551},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4318579435348511},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4224683344364166},{"id":"https://openalex.org/keywords/extinction","display_name":"Extinction (optical mineralogy)","score":0.41546061635017395},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37838125228881836},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.19914886355400085},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.14596915245056152},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11687842011451721},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11212736368179321},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.0775931179523468}],"concepts":[{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.7323315143585205},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6518995761871338},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6316959261894226},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6108808517456055},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.6032785177230835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4765744209289551},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4318579435348511},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4224683344364166},{"id":"https://openalex.org/C101991246","wikidata":"https://www.wikidata.org/wiki/Q5422078","display_name":"Extinction (optical mineralogy)","level":2,"score":0.41546061635017395},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37838125228881836},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.19914886355400085},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.14596915245056152},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11687842011451721},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11212736368179321},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0775931179523468},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2015.7403239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2015.7403239","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 54th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/2","display_name":"Zero hunger","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W72955407","https://openalex.org/W1983337112","https://openalex.org/W1986811714","https://openalex.org/W2028739702","https://openalex.org/W2043242151","https://openalex.org/W2043691077","https://openalex.org/W2046763377","https://openalex.org/W2046935643","https://openalex.org/W2051702061","https://openalex.org/W2065297540","https://openalex.org/W2071844947","https://openalex.org/W2077784707","https://openalex.org/W2123229721","https://openalex.org/W2130233755","https://openalex.org/W2154563705","https://openalex.org/W2740104662","https://openalex.org/W3160954918","https://openalex.org/W4214636125","https://openalex.org/W4292872153","https://openalex.org/W4395476117","https://openalex.org/W6661164517","https://openalex.org/W6678506678"],"related_works":["https://openalex.org/W1576377477","https://openalex.org/W2721687755","https://openalex.org/W2224575301","https://openalex.org/W418212511","https://openalex.org/W2388146630","https://openalex.org/W2086932047","https://openalex.org/W1964208669","https://openalex.org/W2112363989","https://openalex.org/W13811253","https://openalex.org/W2274944226"],"abstract_inverted_index":{"There":[0],"is":[1,21,73,78,90,103,126,140],"great":[2],"interest":[3],"in":[4,113,151,155],"managing":[5],"populations":[6],"of":[7,50,71,115,146],"animal":[8],"species":[9,150],"that":[10,109],"are":[11,37,45],"vital":[12],"food":[13,153],"sources":[14],"for":[15,105],"humans.":[16],"A":[17],"classical":[18],"population":[19,43,66,144],"model":[20],"the":[22,42,46,76,98,143,147],"Lotka-Volterra":[23,135],"system,":[24],"which":[25],"can":[26,53,110],"be":[27,54,111],"viewed":[28],"as":[29,39,68],"a":[30,64,69,91,130,152],"nonlinear":[31],"input-output":[32,107],"system":[33,82],"when":[34],"time-varying":[35],"parameters":[36],"taken":[38],"inputs":[40,52,83],"and":[41,75],"levels":[44],"outputs.":[47],"If":[48],"some":[49],"these":[51],"actuated,":[55],"this":[56,86,89,96],"sets":[57],"up":[58],"an":[59],"open-loop":[60],"control":[61],"problem":[62,102],"where":[63],"certain":[65],"profile":[67],"function":[70],"time":[72],"desired,":[74],"objective":[77],"to":[79,84,129,141,157],"determine":[80],"suitable":[81],"produce":[85],"profile.":[87],"Mathematically,":[88],"left":[92,100],"inversion":[93,101],"problem.":[94],"In":[95],"paper,":[97],"general":[99],"solved":[104],"multivariable":[106],"systems":[108],"represented":[112],"terms":[114],"Chen-Fliess":[116],"series":[117],"using":[118],"concepts":[119],"from":[120],"combinatorial":[121],"Hopf":[122],"algebras.":[123],"The":[124,137],"method":[125],"then":[127],"applied":[128],"three":[131],"species,":[132],"two-input,":[133],"two-output":[134],"system.":[136],"biological":[138],"goal":[139],"change":[142],"dynamics":[145],"top-level":[148],"predator":[149],"chain":[154],"order":[156],"prevent":[158],"extinction.":[159]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
