{"id":"https://openalex.org/W1975078250","doi":"https://doi.org/10.1109/cdc.2014.7040373","title":"On robustness of a class of homogeneous continuous finite time controllers","display_name":"On robustness of a class of homogeneous continuous finite time controllers","publication_year":2014,"publication_date":"2014-12-01","ids":{"openalex":"https://openalex.org/W1975078250","doi":"https://doi.org/10.1109/cdc.2014.7040373","mag":"1975078250"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2014.7040373","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7040373","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","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/A5060624039","display_name":"Harshal B. Oza","orcid":"https://orcid.org/0000-0001-7745-2281"},"institutions":[{"id":"https://openalex.org/I20581793","display_name":"University of Kent","ror":"https://ror.org/00xkeyj56","country_code":"GB","type":"education","lineage":["https://openalex.org/I20581793"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Harshal B. Oza","raw_affiliation_strings":["School of Engineering and Digital Arts, University of Kent, Canterbury, Kent, UK","School of Engineering and Digital Arts, University of Kent, Canterbury CT2 7NT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering and Digital Arts, University of Kent, Canterbury, Kent, UK","institution_ids":["https://openalex.org/I20581793"]},{"raw_affiliation_string":"School of Engineering and Digital Arts, University of Kent, Canterbury CT2 7NT, UK","institution_ids":["https://openalex.org/I20581793"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039781735","display_name":"Yury Orlov","orcid":"https://orcid.org/0000-0001-9114-0436"},"institutions":[{"id":"https://openalex.org/I64663401","display_name":"Centro de Investigaci\u00f3n Cient\u00edfica y de Educaci\u00f3n Superior de Ensenada","ror":"https://ror.org/04znhwb73","country_code":"MX","type":"facility","lineage":["https://openalex.org/I64663401"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Yury V. Orlov","raw_affiliation_strings":["CICESE Research Center, Ensenada, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CICESE Research Center, Ensenada, Mexico","institution_ids":["https://openalex.org/I64663401"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091844693","display_name":"Sarah K. Spurgeon","orcid":"https://orcid.org/0000-0003-3451-0650"},"institutions":[{"id":"https://openalex.org/I20581793","display_name":"University of Kent","ror":"https://ror.org/00xkeyj56","country_code":"GB","type":"education","lineage":["https://openalex.org/I20581793"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Sarah K. Spurgeon","raw_affiliation_strings":["School of Engineering and Digital Arts, University of Kent, Canterbury, Kent, UK","School of Engineering and Digital Arts, University of Kent, Canterbury CT2 7NT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering and Digital Arts, University of Kent, Canterbury, Kent, UK","institution_ids":["https://openalex.org/I20581793"]},{"raw_affiliation_string":"School of Engineering and Digital Arts, University of Kent, Canterbury CT2 7NT, UK","institution_ids":["https://openalex.org/I20581793"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4032,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66353578,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"43","issue":null,"first_page":"6279","last_page":"6284"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9994000196456909,"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":0.9994000196456909,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9983999729156494,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9976999759674072,"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/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.8051788806915283},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7815760374069214},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.675478458404541},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6463688611984253},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6378740668296814},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5692286491394043},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5408080816268921},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.4864037334918976},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.45397424697875977},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4422934949398041},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4359695315361023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31051507592201233},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23708245158195496},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.23620793223381042},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10052534937858582},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07384663820266724},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0633985698223114},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06214979290962219}],"concepts":[{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.8051788806915283},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7815760374069214},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.675478458404541},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6463688611984253},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6378740668296814},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5692286491394043},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5408080816268921},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.4864037334918976},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.45397424697875977},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4422934949398041},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4359695315361023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31051507592201233},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23708245158195496},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.23620793223381042},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10052534937858582},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07384663820266724},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0633985698223114},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06214979290962219},{"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/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2014.7040373","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2014.7040373","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"53rd IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:kar.kent.ac.uk:46714","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196264","display_name":"Kent Academic Repository (University of Kent)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20581793","host_organization_name":"University of Kent","host_organization_lineage":["https://openalex.org/I20581793"],"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":"Conference proceeding"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:1515239","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/1515239/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"     In:   (Proceedings) 53rd IEEE Annual Conference on Decision and Control (CDC). (pp. pp. 6279-6284).  IEEE (2014)     ","raw_type":"Proceedings paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2303173920","display_name":null,"funder_award_id":"EP/J018295/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1873653738","https://openalex.org/W1878317812","https://openalex.org/W1932416784","https://openalex.org/W1966218886","https://openalex.org/W1988837728","https://openalex.org/W2047340799","https://openalex.org/W2049589722","https://openalex.org/W2050205901","https://openalex.org/W2052883072","https://openalex.org/W2063579361","https://openalex.org/W2080688746","https://openalex.org/W2092991598","https://openalex.org/W2099441579","https://openalex.org/W2105446866","https://openalex.org/W2123800373","https://openalex.org/W2136605942","https://openalex.org/W2148993855","https://openalex.org/W2154608673","https://openalex.org/W2158503284","https://openalex.org/W2171271733","https://openalex.org/W2279156231","https://openalex.org/W2562706957","https://openalex.org/W3098500127","https://openalex.org/W4293078920","https://openalex.org/W6639289086","https://openalex.org/W6674861912","https://openalex.org/W6684938873"],"related_works":["https://openalex.org/W3185235544","https://openalex.org/W4297791327","https://openalex.org/W2897842840","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590","https://openalex.org/W2534107666","https://openalex.org/W2117933783","https://openalex.org/W2560479139"],"abstract_inverted_index":{"This":[0],"paper":[1,89],"gives":[2],"a":[3,10,40,78,94,117],"Lyapunov":[4,99],"based":[5],"proof":[6,31],"of":[7,9,12,24,32,69,87,116,119],"robustness":[8,68],"class":[11,118],"finite":[13,26,33,55,71,110],"time":[14,27,34,56,72,111],"controllers":[15,57,73],"applied":[16],"to":[17,74,101],"the":[18,30,46,59,88,114],"double":[19],"integrator":[20],"system.":[21],"The":[22,84],"literature":[23],"continuous":[25,37,54,70,75],"stabilisation":[28],"contains":[29],"stability":[35,105,112],"when":[36],"disturbances":[38,76,120],"with":[39,77],"Lipschitz":[41],"upper":[42,80,124],"bound":[43,81],"appear":[44],"in":[45,113],"system":[47],"dynamics.":[48],"It":[49],"is":[50,82,90],"also":[51],"known":[52],"that":[53,91,121],"render":[58],"trajectories":[60],"ultimately":[61],"bounded":[62],"for":[63],"persisting":[64],"disturbances.":[65],"However,":[66],"proving":[67],"non-Lipschitz":[79,123],"challenging.":[83],"main":[85],"contribution":[86],"it":[92],"identifies":[93],"C":[95],"<sup":[96],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[97],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[98],"function":[100],"prove":[102],"uniform":[103,109],"asymptotic":[104],"as":[106,108],"well":[107],"presence":[115],"have":[122],"bound.":[125]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
