{"id":"https://openalex.org/W2057524199","doi":"https://doi.org/10.1080/00207170601185988","title":"Lyapunov-stable adaptive stabilization of non-linear time-varying systems with matched uncertainty","display_name":"Lyapunov-stable adaptive stabilization of non-linear time-varying systems with matched uncertainty","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W2057524199","doi":"https://doi.org/10.1080/00207170601185988","mag":"2057524199"},"language":"en","primary_location":{"id":"doi:10.1080/00207170601185988","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170601185988","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-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/A5064538163","display_name":"Jesse B. Hoagg","orcid":"https://orcid.org/0000-0002-2302-2152"},"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"]},{"id":"https://openalex.org/I111149068","display_name":"National Defense University","ror":"https://ror.org/01nqk4x38","country_code":"US","type":"education","lineage":["https://openalex.org/I111149068"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. B. Hoagg","raw_affiliation_strings":["\n National Defense Science and Engineering, Graduate Fellow, The University of Michigan, Ann Arbor, MI 48109-2140","National Defense Science and Engineering, Graduate Fellow , The University of Michigan , Ann Arbor, MI 48109-2140"],"affiliations":[{"raw_affiliation_string":"\n National Defense Science and Engineering, Graduate Fellow, The University of Michigan, Ann Arbor, MI 48109-2140","institution_ids":["https://openalex.org/I111149068"]},{"raw_affiliation_string":"National Defense Science and Engineering, Graduate Fellow , The University of Michigan , Ann Arbor, MI 48109-2140","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009770702","display_name":"Dennis S. Bernstein","orcid":"https://orcid.org/0000-0003-0399-3039"},"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":"D. S. Bernstein","raw_affiliation_strings":["\n Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140","Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140"],"affiliations":[{"raw_affiliation_string":"\n Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Department of Aerospace Engineering, The University of Michigan, Ann Arbor, MI 48109-2140","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5064538163"],"corresponding_institution_ids":["https://openalex.org/I111149068","https://openalex.org/I27837315"],"apc_list":null,"apc_paid":null,"fwci":1.7419,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87491421,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"80","issue":"6","first_page":"872","last_page":"884"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994999766349792,"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":0.9994999766349792,"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/T11394","display_name":"Dynamics and Control of Mechanical Systems","score":0.9945999979972839,"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/T11372","display_name":"Hydraulic and Pneumatic Systems","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/control-theory","display_name":"Control theory (sociology)","score":0.8943241834640503},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.640835165977478},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.577061116695404},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5741870403289795},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5708743333816528},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.496540367603302},{"id":"https://openalex.org/keywords/full-state-feedback","display_name":"Full state feedback","score":0.41463541984558105},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.41274094581604004},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.39666736125946045},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3038802742958069},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20280992984771729},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06876528263092041},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05737397074699402}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8943241834640503},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.640835165977478},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.577061116695404},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5741870403289795},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5708743333816528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.496540367603302},{"id":"https://openalex.org/C204322392","wikidata":"https://www.wikidata.org/wiki/Q925922","display_name":"Full state feedback","level":3,"score":0.41463541984558105},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.41274094581604004},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.39666736125946045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3038802742958069},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20280992984771729},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06876528263092041},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05737397074699402},{"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/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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:10.1080/00207170601185988","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207170601185988","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W592139942","https://openalex.org/W1564168018","https://openalex.org/W1572161815","https://openalex.org/W1973651517","https://openalex.org/W2007696489","https://openalex.org/W2016589154","https://openalex.org/W2038168296","https://openalex.org/W2067603665","https://openalex.org/W2073332810","https://openalex.org/W2139686351","https://openalex.org/W2140406562","https://openalex.org/W2148179553","https://openalex.org/W2167954170","https://openalex.org/W2168859856","https://openalex.org/W2623785075"],"related_works":["https://openalex.org/W1934622834","https://openalex.org/W2015036175","https://openalex.org/W1991810297","https://openalex.org/W2054171707","https://openalex.org/W1819950161","https://openalex.org/W2032253950","https://openalex.org/W2101148463","https://openalex.org/W1716629940","https://openalex.org/W2100724434","https://openalex.org/W2121442342"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2,23],"considers":[3],"direct":[4],"adaptive":[5,27],"stabilization":[6],"of":[7,21],"multi-input":[8],"non-linear":[9,41,50],"time-varying":[10,51],"systems":[11],"with":[12],"full-state":[13],"feedback":[14],"and":[15,47],"state-and-time-dependent":[16],"uncertainty.":[17],"The":[18],"novel":[19],"result":[20],"this":[22],"is":[24],"a":[25,31,40,43,48],"single-parameter":[26],"controller":[28,38],"that":[29],"yields":[30],"Lyapunov-stable":[32],"closed-loop":[33],"system.":[34,52],"We":[35],"demonstrate":[36],"the":[37],"on":[39],"spring-mass-damper,":[42],"three-degree-of-freedom":[44],"Mathieu":[45],"equation,":[46],"4th-order":[49]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
