{"id":"https://openalex.org/W2061969322","doi":"https://doi.org/10.1109/acc.2013.6580242","title":"Polynomial approximation of optimal event triggers for state estimation problems using SOSTOOLS","display_name":"Polynomial approximation of optimal event triggers for state estimation problems using SOSTOOLS","publication_year":2013,"publication_date":"2013-06-01","ids":{"openalex":"https://openalex.org/W2061969322","doi":"https://doi.org/10.1109/acc.2013.6580242","mag":"2061969322"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2013.6580242","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580242","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","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/A5046121646","display_name":"Lichun Li","orcid":"https://orcid.org/0000-0002-6698-4271"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lichun Li","raw_affiliation_strings":["Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","[Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA]","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100676984","display_name":"Wang Zhao","orcid":"https://orcid.org/0000-0002-3610-1140"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zhao Wang","raw_affiliation_strings":["Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","[Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA]","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022295836","display_name":"Michael Lemmon","orcid":null},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Lemmon","raw_affiliation_strings":["Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","[Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Notre Dame, Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"[Dept. of Electr. Eng., Univ. of Notre Dame, Notre Dame, IN, USA]","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I107639228"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"2699","last_page":"2704"},"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":0.9986000061035156,"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":0.9986000061035156,"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":0.9922000169754028,"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/T11005","display_name":"Radiation Effects in Electronics","score":0.9897000193595886,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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":0.6700382232666016},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6614303588867188},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6338545680046082},{"id":"https://openalex.org/keywords/event","display_name":"Event (particle physics)","score":0.6337348222732544},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5061540007591248},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49286365509033203},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4554159641265869},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4229480028152466},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.342884361743927},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2731930613517761},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.26322007179260254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24798154830932617},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08870068192481995}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6700382232666016},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6614303588867188},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6338545680046082},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.6337348222732544},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5061540007591248},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49286365509033203},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4554159641265869},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4229480028152466},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.342884361743927},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2731930613517761},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26322007179260254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24798154830932617},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08870068192481995},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/acc.2013.6580242","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2013.6580242","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 American Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.715.234","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.715.234","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www3.nd.edu/%7Elemmon/publications/2012/acc2013-lichun.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W198069145","https://openalex.org/W787785457","https://openalex.org/W1011687442","https://openalex.org/W1685524015","https://openalex.org/W1967037758","https://openalex.org/W1978518835","https://openalex.org/W1994038771","https://openalex.org/W2033209892","https://openalex.org/W2074878962","https://openalex.org/W2075111064","https://openalex.org/W2107780151","https://openalex.org/W2115558605","https://openalex.org/W2116089238","https://openalex.org/W2123562147","https://openalex.org/W2126151527","https://openalex.org/W2155279174","https://openalex.org/W2156811942","https://openalex.org/W2170317641","https://openalex.org/W2528234406","https://openalex.org/W4231172027","https://openalex.org/W6622723751","https://openalex.org/W6669177472","https://openalex.org/W6682759254","https://openalex.org/W6728180446"],"related_works":["https://openalex.org/W1987895267","https://openalex.org/W2350519135","https://openalex.org/W2390619334","https://openalex.org/W4360764540","https://openalex.org/W2052190160","https://openalex.org/W1502126983","https://openalex.org/W4231657010","https://openalex.org/W1994552539","https://openalex.org/W2375327612","https://openalex.org/W2395986200"],"abstract_inverted_index":{"This":[0],"paper":[1],"uses":[2],"polynomials":[3],"to":[4,60,76,82,115],"approximate":[5],"the":[6,17,23,27,36,45,52,61,65,89,106,109],"optimal":[7,37,66],"event":[8,55,74,92],"triggers":[9,93],"in":[10],"state":[11],"estimation":[12],"problems,":[13],"and":[14,39],"efficiently":[15,87],"computes":[16],"polynomial":[18,28,53,72,90],"approximation":[19,29],"with":[20],"SOSTOOLS.":[21],"From":[22],"examples":[24],"under":[25],"study,":[26],"provides":[30],"a":[31,40,116],"tight":[32,41],"lower":[33,62],"bound":[34,43,63],"on":[35,44,64],"cost,":[38],"upper":[42],"suboptimal":[46,54,73,91,110],"cost.":[47,67],"The":[48],"cost":[49],"generated":[50],"by":[51],"trigger":[56,75,111],"is":[57,105,120],"very":[58],"close":[59],"We":[68],"also":[69],"apply":[70],"this":[71,104],"an":[77],"8":[78],"dimensional":[79,98],"3DOF":[80],"helicopter":[81],"demonstrate":[83],"that":[84],"one":[85],"can":[86],"compute":[88],"for":[94],"highly":[95],"nonlinear":[96],"high":[97],"systems.":[99],"To":[100],"our":[101],"best":[102],"knowledge,":[103],"first":[107],"time":[108],"has":[112],"been":[113],"applied":[114],"system":[117],"whose":[118],"dimension":[119],"greater":[121],"than":[122],"2.":[123]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
