{"id":"https://openalex.org/W1532607495","doi":"https://doi.org/10.1109/acc.2015.7171139","title":"An interval arithmetic approach for the estimation of the robust domain of attraction for nonlinear autonomous systems with nonlinear uncertainties","display_name":"An interval arithmetic approach for the estimation of the robust domain of attraction for nonlinear autonomous systems with nonlinear uncertainties","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W1532607495","doi":"https://doi.org/10.1109/acc.2015.7171139","mag":"1532607495"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2015.7171139","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7171139","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","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/A5015647756","display_name":"Robert Swiatlak","orcid":null},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Robert Swiatlak","raw_affiliation_strings":["Faculty of Electrical Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","Faculty of Electrical, Information and Media Engineering University of Wuppertal D-42119, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering University of Wuppertal D-42119, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088168487","display_name":"Bernd Tibken","orcid":"https://orcid.org/0000-0002-4639-1487"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Bernd Tibken","raw_affiliation_strings":["Faculty of Electrical Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","Faculty of Electrical, Information and Media Engineering University of Wuppertal D-42119, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering University of Wuppertal D-42119, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088684675","display_name":"Thomas Paradowski","orcid":null},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Paradowski","raw_affiliation_strings":["Faculty of Electrical Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","Faculty of Electrical, Information and Media Engineering University of Wuppertal D-42119, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering University of Wuppertal D-42119, Germany","institution_ids":["https://openalex.org/I167360494"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076349360","display_name":"Robert Dehnert","orcid":"https://orcid.org/0000-0002-0959-9035"},"institutions":[{"id":"https://openalex.org/I167360494","display_name":"University of Wuppertal","ror":"https://ror.org/00613ak93","country_code":"DE","type":"education","lineage":["https://openalex.org/I167360494"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Robert Dehnert","raw_affiliation_strings":["Faculty of Electrical Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","Faculty of Electrical, Information and Media Engineering University of Wuppertal D-42119, Germany"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Information and Media Engineering, University of Wuppertal, Wuppertal, Germany","institution_ids":["https://openalex.org/I167360494"]},{"raw_affiliation_string":"Faculty of Electrical, Information and Media Engineering University of Wuppertal D-42119, Germany","institution_ids":["https://openalex.org/I167360494"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015647756"],"corresponding_institution_ids":["https://openalex.org/I167360494"],"apc_list":null,"apc_paid":null,"fwci":1.7526,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.84539344,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"4","issue":null,"first_page":"2679","last_page":"2684"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9966999888420105,"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/interval-arithmetic","display_name":"Interval arithmetic","score":0.7937919497489929},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7827838063240051},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7048892974853516},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5788894891738892},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.5341187119483948},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5277079939842224},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.5235971212387085},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5142373442649841},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.45730453729629517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40880724787712097},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4083186984062195},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16339069604873657},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13084334135055542}],"concepts":[{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.7937919497489929},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7827838063240051},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7048892974853516},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5788894891738892},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.5341187119483948},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5277079939842224},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.5235971212387085},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5142373442649841},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45730453729629517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40880724787712097},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4083186984062195},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16339069604873657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13084334135055542},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2015.7171139","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2015.7171139","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W178772886","https://openalex.org/W1483384638","https://openalex.org/W1534906410","https://openalex.org/W1585893239","https://openalex.org/W1600295805","https://openalex.org/W1986125667","https://openalex.org/W2045750832","https://openalex.org/W2055255527","https://openalex.org/W2070381457","https://openalex.org/W2095715099","https://openalex.org/W2104957613","https://openalex.org/W2141662368","https://openalex.org/W2154496368","https://openalex.org/W2172200392","https://openalex.org/W4234844164","https://openalex.org/W4235812949"],"related_works":["https://openalex.org/W2066207056","https://openalex.org/W2152358660","https://openalex.org/W2520934858","https://openalex.org/W2990487117","https://openalex.org/W2012882356","https://openalex.org/W109635080","https://openalex.org/W2377262226","https://openalex.org/W4285295794","https://openalex.org/W2098412892","https://openalex.org/W2531534085"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"an":[3,23,64,112,115,124],"algorithm":[4,122],"for":[5,15,27,77,90],"the":[6,9,57,73,81,88,109,121,127],"estimation":[7],"of":[8,12,75,80,126],"robust":[10],"domain":[11,74],"attraction":[13,76],"(RDA)":[14],"nonlinear":[16,97],"autonomous":[17],"systems":[18,91],"with":[19,92],"uncertain":[20],"parameters.":[21],"Usually,":[22],"exact":[24],"mathematical":[25],"model":[26],"a":[28,119],"system":[29,51],"is":[30,69,104],"assumed.":[31],"In":[32,99],"real":[33],"systems,":[34],"there":[35],"are":[36],"uncertainties":[37],"caused":[38],"by":[39,56,111],"e.":[40],"g.":[41],"temperature":[42],"drift":[43],"or":[44],"friction,":[45],"which":[46],"increases":[47],"while":[48],"lifetime.":[49],"Furthermore,":[50],"parameters":[52,61],"could":[53],"be":[54],"varied":[55],"user.":[58],"However,":[59],"time-dependent":[60],"fluctuate":[62],"in":[63],"known":[65],"interval.":[66],"Therefore,":[67],"it":[68],"important":[70],"to":[71,106],"determine":[72,107],"all":[78],"configurations":[79],"system.":[82],"The":[83],"presented":[84],"method":[85],"can":[86],"estimate":[87],"RDA":[89,110],"linear":[93],"as":[94,96],"well":[95],"uncertainties.":[98],"this":[100],"algorithm,":[101],"interval":[102],"arithmetic":[103],"used":[105],"successively":[108],"inner":[113],"and":[114],"outer":[116],"bound.":[117],"As":[118],"result,":[120],"delivers":[123],"enclosure":[125],"Lyapunov":[128],"function":[129],"(LF)":[130],"contour":[131],"line":[132],"c*.":[133]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}