{"id":"https://openalex.org/W2000461408","doi":"https://doi.org/10.1109/cacsd.2010.5612860","title":"On the admissible equilibrium points of nonlinear dynamical systems affected by parametric uncertainty: Characterization via LMIs","display_name":"On the admissible equilibrium points of nonlinear dynamical systems affected by parametric uncertainty: Characterization via LMIs","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W2000461408","doi":"https://doi.org/10.1109/cacsd.2010.5612860","mag":"2000461408"},"language":"en","primary_location":{"id":"doi:10.1109/cacsd.2010.5612860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cacsd.2010.5612860","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Computer-Aided Control System Design","raw_type":"proceedings-article"},"type":"conference-paper","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/A5054609231","display_name":"Graziano Chesi","orcid":"https://orcid.org/0000-0003-4214-4224"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Graziano Chesi","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, University of Hong Kong, Hong Kong, China","Department of Electrical & Electronic Engineering, University of Hong Kong, Hong Kong#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Department of Electrical & Electronic Engineering, University of Hong Kong, Hong Kong#TAB#","institution_ids":["https://openalex.org/I889458895"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5054609231"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":0.6105,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59929779,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"40","issue":null,"first_page":"351","last_page":"356"},"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":0.9973000288009644,"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":0.9973000288009644,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9968000054359436,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.7452406883239746},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.7357577085494995},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6700409054756165},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6359639167785645},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5770280361175537},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5227630138397217},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5209556818008423},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5183601975440979},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5059639811515808},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.49811506271362305},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4953676462173462},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4938250482082367},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.48351576924324036},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.47884202003479004},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45972153544425964},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4349391460418701},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.194341242313385},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16276851296424866},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15250590443611145}],"concepts":[{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.7452406883239746},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.7357577085494995},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6700409054756165},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6359639167785645},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5770280361175537},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5227630138397217},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5209556818008423},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5183601975440979},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5059639811515808},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.49811506271362305},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4953676462173462},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4938250482082367},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.48351576924324036},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.47884202003479004},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45972153544425964},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4349391460418701},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.194341242313385},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16276851296424866},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15250590443611145},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cacsd.2010.5612860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cacsd.2010.5612860","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Computer-Aided Control System Design","raw_type":"proceedings-article"},{"id":"pmh:oai:hub.hku.hk:10722/135864","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/135864","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference_Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4000000059604645}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1555808932","https://openalex.org/W1569149096","https://openalex.org/W1600295805","https://openalex.org/W1941658975","https://openalex.org/W1965735858","https://openalex.org/W1992402930","https://openalex.org/W2045152482","https://openalex.org/W2101676748","https://openalex.org/W2110378028","https://openalex.org/W2161936466","https://openalex.org/W3210839039","https://openalex.org/W6633987080","https://openalex.org/W6640580321"],"related_works":["https://openalex.org/W2953363500","https://openalex.org/W4287022798","https://openalex.org/W3195259914","https://openalex.org/W2020788389","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W4387410785","https://openalex.org/W2045015574","https://openalex.org/W2347536774"],"abstract_inverted_index":{"This":[0],"paper":[1,64],"investigates":[2],"the":[3,32,42,46,75,95,118,133,136],"set":[4,23,70],"of":[5,9,34,37,45,55,68,77,94,135],"admissible":[6,43],"equilibrium":[7],"points":[8],"nonlinear":[10,38],"dynamical":[11],"systems":[12],"affected":[13],"by":[14,108],"parametric":[15],"uncertainty.":[16],"As":[17],"it":[18,87],"is":[19,24,88,129],"well-known,":[20],"determining":[21],"this":[22,61,63,69],"a":[25,35,66,84,100,110,124],"difficult":[26],"problem":[27,115],"since":[28],"one":[29],"should":[30],"compute":[31],"solutions":[33],"system":[36],"equations":[39],"for":[40,74,131],"all":[41],"values":[44],"uncertainty,":[47],"which":[48],"typically":[49],"amounts":[50],"to":[51,59],"an":[52,91],"infinite":[53],"number":[54],"times.":[56],"In":[57],"order":[58],"address":[60],"problem,":[62],"proposes":[65],"characterization":[67],"via":[71],"convex":[72],"optimization":[73],"case":[76],"polynomial":[78],"nonlinearities":[79],"and":[80,126,143],"uncertainty":[81],"constrained":[82],"in":[83],"polytope.":[85],"Specifically,":[86],"shown":[89],"that":[90],"upper":[92,138],"bound":[93],"smallest":[96],"outer":[97],"estimate":[98],"with":[99],"freely":[101],"selectable":[102],"fixed":[103],"shape":[104],"can":[105],"be":[106],"obtained":[107],"solving":[109],"linear":[111],"matrix":[112,120],"inequality":[113],"(LMI)":[114],"built":[116],"through":[117,148],"square":[119],"representation":[121],"(SMR).":[122],"Then,":[123],"necessary":[125],"sufficient":[127],"condition":[128],"provided":[130],"establishing":[132],"tightness":[134],"found":[137],"bound.":[139],"The":[140],"proposed":[141],"methodology":[142],"its":[144],"benefits":[145],"are":[146],"illustrated":[147],"several":[149],"numerical":[150],"examples.":[151]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
