{"id":"https://openalex.org/W4229884753","doi":"https://doi.org/10.1109/acc.2005.1470522","title":"Dynamic inversion for nonaffine-in-control systems via time-scale separation: part I","display_name":"Dynamic inversion for nonaffine-in-control systems via time-scale separation: part I","publication_year":2005,"publication_date":"2005-08-10","ids":{"openalex":"https://openalex.org/W4229884753","doi":"https://doi.org/10.1109/acc.2005.1470522"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2005.1470522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2005.1470522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005, American Control Conference, 2005.","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://a2c2.org/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029998748","display_name":"Naira Hovakimyan","orcid":"https://orcid.org/0000-0003-3850-1073"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"N. Hovakimyan","raw_affiliation_strings":["AeroSpace & Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"AeroSpace & Ocean Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027293837","display_name":"Eugene Lavretsky","orcid":"https://orcid.org/0000-0001-5471-6571"},"institutions":[{"id":"https://openalex.org/I1295339012","display_name":"Boeing (United States)","ror":"https://ror.org/04sm5zn07","country_code":"US","type":"company","lineage":["https://openalex.org/I1295339012"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. Lavretsky","raw_affiliation_strings":["Boeing Company-Phantom Works, Huntington Beach, CA, USA"],"affiliations":[{"raw_affiliation_string":"Boeing Company-Phantom Works, Huntington Beach, CA, USA","institution_ids":["https://openalex.org/I1295339012"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047093315","display_name":"Amol Sasane","orcid":null},"institutions":[{"id":"https://openalex.org/I909854389","display_name":"London School of Economics and Political Science","ror":"https://ror.org/0090zs177","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I909854389"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"A.J. Sasane","raw_affiliation_strings":["Mathematics in London School of Economics, UK"],"affiliations":[{"raw_affiliation_string":"Mathematics in London School of Economics, UK","institution_ids":["https://openalex.org/I909854389"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029998748"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":null,"apc_paid":null,"fwci":12.5987,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.9853847,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3542","last_page":"3547"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9987999796867371,"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":0.9987999796867371,"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/T14083","display_name":"Extremum Seeking Control Systems","score":0.9980000257492065,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9926999807357788,"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/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.9076546430587769},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7009029984474182},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.6171454191207886},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4778289794921875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4735091030597687},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3747583031654358},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3417324423789978},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.33217310905456543},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21763339638710022},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.19209036231040955},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13232466578483582},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08430218696594238}],"concepts":[{"id":"https://openalex.org/C152442038","wikidata":"https://www.wikidata.org/wiki/Q2778212","display_name":"Tikhonov regularization","level":3,"score":0.9076546430587769},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7009029984474182},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.6171454191207886},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4778289794921875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4735091030597687},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3747583031654358},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3417324423789978},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.33217310905456543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21763339638710022},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.19209036231040955},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13232466578483582},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08430218696594238},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"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":"doi:10.1109/acc.2005.1470522","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2005.1470522","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2005, American Control Conference, 2005.","raw_type":"proceedings-article"},{"id":"pmh:oai:researchonline.lse.ac.uk:60159","is_oa":false,"landing_page_url":"https://orcid.org/0000-0001-5566-9877>","pdf_url":null,"source":{"id":"https://openalex.org/S4306400050","display_name":"London School of Economics and Political Science Theses Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:eprints.lse.ac.uk:60159","is_oa":true,"landing_page_url":"http://a2c2.org/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"}],"best_oa_location":{"id":"pmh:oai:eprints.lse.ac.uk:60159","is_oa":true,"landing_page_url":"http://a2c2.org/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1964373008","https://openalex.org/W2090167557","https://openalex.org/W2133683724","https://openalex.org/W4292872153"],"related_works":["https://openalex.org/W3024390085","https://openalex.org/W2953754434","https://openalex.org/W1995552880","https://openalex.org/W2792077705","https://openalex.org/W2068120773","https://openalex.org/W2038617126","https://openalex.org/W3040175572","https://openalex.org/W2315047731","https://openalex.org/W2366691072","https://openalex.org/W1537000670"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,22],"new":[4],"method":[5],"for":[6,10],"approximate":[7],"dynamic":[8],"inversion":[9],"nonaffine-in-control":[11],"systems":[12],"via":[13],"time-scale":[14],"separation.":[15],"The":[16],"control":[17],"signal":[18],"is":[19,28],"sought":[20],"as":[21],"solution":[23],"of":[24,47],"\"fast\"":[25],"dynamics":[26],"and":[27],"shown":[29],"to":[30],"asymptotically":[31],"stabilize":[32],"the":[33,45,57],"original":[34],"nonaffine":[35],"system.":[36],"Sufficient":[37],"conditions":[38],"are":[39,42],"formulated,":[40],"which":[41],"consistent":[43],"with":[44],"assumptions":[46],"Tikhonov's":[48],"theorem":[49],"in":[50],"singular":[51],"perturbations":[52],"theory.":[53],"Several":[54],"examples":[55],"illustrate":[56],"theoretical":[58],"results.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
