{"id":"https://openalex.org/W2570635453","doi":"https://doi.org/10.1109/cdc.2016.7798586","title":"On estimating the Robust Domain of Attraction for uncertain non-polynomial systems: An LMI approach","display_name":"On estimating the Robust Domain of Attraction for uncertain non-polynomial systems: An LMI approach","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2570635453","doi":"https://doi.org/10.1109/cdc.2016.7798586","mag":"2570635453"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2016.7798586","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://mediatum.ub.tum.de/1379699","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101852463","display_name":"Dongkun Han","orcid":"https://orcid.org/0000-0003-0336-9818"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Dongkun Han","raw_affiliation_strings":["Institut fur Informatik, Technische Universitat Miinchen, Garching bei, M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Institut fur Informatik, Technische Universitat Miinchen, Garching bei, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005383495","display_name":"Matthias Althoff","orcid":"https://orcid.org/0000-0003-3733-842X"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Matthias Althoff","raw_affiliation_strings":["Institut fur Informatik, Technische Universitat Miinchen, Garching bei, M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Institut fur Informatik, Technische Universitat Miinchen, Garching bei, M\u00fcnchen, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101852463"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":null,"apc_paid":null,"fwci":0.8108,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.77072961,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"2176","last_page":"2183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9969000220298767,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9969000220298767,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.996399998664856,"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/T11236","display_name":"Control Systems and Identification","score":0.9912999868392944,"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/polynomial","display_name":"Polynomial","score":0.7069568037986755},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6274009346961975},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5566690564155579},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.5444508790969849},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4826393723487854},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4805205762386322},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.4761274456977844},{"id":"https://openalex.org/keywords/polynomial-matrix","display_name":"Polynomial matrix","score":0.45943042635917664},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4492928385734558},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.44523483514785767},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.44093799591064453},{"id":"https://openalex.org/keywords/taylor-series","display_name":"Taylor series","score":0.41151314973831177},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40855303406715393},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.394240140914917},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09239998459815979},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0857740044593811},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.0821826159954071}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.7069568037986755},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6274009346961975},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5566690564155579},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.5444508790969849},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4826393723487854},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4805205762386322},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.4761274456977844},{"id":"https://openalex.org/C126352355","wikidata":"https://www.wikidata.org/wiki/Q2562273","display_name":"Polynomial matrix","level":4,"score":0.45943042635917664},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4492928385734558},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.44523483514785767},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.44093799591064453},{"id":"https://openalex.org/C158946198","wikidata":"https://www.wikidata.org/wiki/Q131187","display_name":"Taylor series","level":2,"score":0.41151314973831177},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40855303406715393},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.394240140914917},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09239998459815979},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0857740044593811},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0821826159954071},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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":2,"locations":[{"id":"doi:10.1109/cdc.2016.7798586","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2016.7798586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE 55th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1379699","is_oa":true,"landing_page_url":"https://mediatum.ub.tum.de/1379699","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:mediatum.ub.tum.de:node/1379699","is_oa":true,"landing_page_url":"https://mediatum.ub.tum.de/1379699","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ConferencePaper"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W239577987","https://openalex.org/W1480692184","https://openalex.org/W1527993902","https://openalex.org/W1528301553","https://openalex.org/W1530960252","https://openalex.org/W1539838732","https://openalex.org/W1976005200","https://openalex.org/W1981734012","https://openalex.org/W1992402930","https://openalex.org/W1999016870","https://openalex.org/W2017093844","https://openalex.org/W2021313930","https://openalex.org/W2026578200","https://openalex.org/W2060602079","https://openalex.org/W2071555678","https://openalex.org/W2076532535","https://openalex.org/W2090618049","https://openalex.org/W2090967418","https://openalex.org/W2095590702","https://openalex.org/W2106985815","https://openalex.org/W2116586985","https://openalex.org/W2134171990","https://openalex.org/W2147019117","https://openalex.org/W2154496368","https://openalex.org/W2167019375","https://openalex.org/W2289538152","https://openalex.org/W2312849699","https://openalex.org/W2987025408","https://openalex.org/W3210839039","https://openalex.org/W4255442211","https://openalex.org/W4299599836","https://openalex.org/W6682256473"],"related_works":["https://openalex.org/W1489986405","https://openalex.org/W2382784327","https://openalex.org/W2140446896","https://openalex.org/W2335071938","https://openalex.org/W2023818677","https://openalex.org/W1973507931","https://openalex.org/W2905919007","https://openalex.org/W2086519601","https://openalex.org/W2357334848","https://openalex.org/W3004877956"],"abstract_inverted_index":{"An":[0],"increasingly":[1],"important":[2],"issue":[3],"in":[4,59],"the":[5,11,14,34,43,70,81,86,97,101,113,120],"area":[6],"of":[7,13,17,24,28,89,100,122],"uncertain":[8,37,75],"systems":[9,48],"is":[10,23,67,103],"estimation":[12],"Robust":[15],"Domain":[16],"Attraction":[18],"(RDA).":[19],"Though":[20],"this":[21,123],"topic":[22],"great":[25],"interest,":[26],"most":[27],"attention":[29],"has":[30],"been":[31],"paid":[32],"to":[33,68,73,95],"RDA":[35,44,102],"for":[36,45],"polynomial":[38,47,77],"systems.":[39],"This":[40],"paper":[41],"considers":[42],"rational":[46,76,109],"and":[49,85,112],"non-polynomial":[50,90],"systems,":[51],"both":[52],"with":[53],"parametric":[54],"uncertainties,":[55],"which":[56],"are":[57,125],"constrained":[58],"a":[60,107,128],"semialgebraic":[61],"set.":[62],"The":[63],"main":[64],"underlying":[65],"idea":[66],"reformulate":[69],"original":[71],"system":[72,78],"an":[74],"by":[79,105,127],"using":[80,106],"truncated":[82],"Taylor":[83],"expansion":[84],"parameterizable":[87],"remainder":[88],"functions.":[91],"A":[92],"novel":[93],"way":[94],"compute":[96],"largest":[98],"estimate":[99],"proposed":[104],"given":[108],"Lyapunov":[110],"function":[111],"squared":[114],"matrix":[115],"representation":[116],"technique":[117],"(SMR).":[118],"Lastly,":[119],"benefits":[121],"approach":[124],"presented":[126],"numerical":[129],"example.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}