{"id":"https://openalex.org/W4206266546","doi":"https://doi.org/10.1109/lcsys.2021.3134101","title":"Fast Computation of Tight Funnels for Piecewise Polynomial Systems","display_name":"Fast Computation of Tight Funnels for Piecewise Polynomial Systems","publication_year":2021,"publication_date":"2021-12-09","ids":{"openalex":"https://openalex.org/W4206266546","doi":"https://doi.org/10.1109/lcsys.2021.3134101"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2021.3134101","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2021.3134101","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-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/A5006359565","display_name":"Inkyu Jang","orcid":"https://orcid.org/0000-0002-5107-446X"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Inkyu Jang","raw_affiliation_strings":["Department of Aerospace Engineering, and Automation and Systems Research Institute, Seoul National University, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0002-5107-446X","affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, and Automation and Systems Research Institute, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103058532","display_name":"Hoseong Seo","orcid":"https://orcid.org/0000-0002-1485-3712"},"institutions":[{"id":"https://openalex.org/I2250650973","display_name":"Samsung (South Korea)","ror":"https://ror.org/04w3jy968","country_code":"KR","type":"company","lineage":["https://openalex.org/I2250650973"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hoseong Seo","raw_affiliation_strings":["Robot System Team, Samsung Research, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0002-1485-3712","affiliations":[{"raw_affiliation_string":"Robot System Team, Samsung Research, Seoul, South Korea","institution_ids":["https://openalex.org/I2250650973"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073996122","display_name":"H. Jin Kim","orcid":"https://orcid.org/0000-0002-6819-1136"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"H. Jin Kim","raw_affiliation_strings":["Department of Aerospace Engineering, and Automation and Systems Research Institute, Seoul National University, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0002-6819-1136","affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, and Automation and Systems Research Institute, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4343,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.68686045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"6","issue":null,"first_page":"2234","last_page":"2239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9988999962806702,"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/T10142","display_name":"Formal Methods in Verification","score":0.9988999962806702,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9715999960899353,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/funnel","display_name":"Funnel","score":0.983896017074585},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.8054535388946533},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6603497266769409},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5434402227401733},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5247897505760193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4624386727809906},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.45364001393318176},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.43227213621139526},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41701990365982056},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4168056845664978},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34476393461227417},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.22537881135940552},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.0795997679233551}],"concepts":[{"id":"https://openalex.org/C17435862","wikidata":"https://www.wikidata.org/wiki/Q29957","display_name":"Funnel","level":2,"score":0.983896017074585},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.8054535388946533},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6603497266769409},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5434402227401733},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5247897505760193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4624386727809906},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.45364001393318176},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.43227213621139526},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41701990365982056},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4168056845664978},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34476393461227417},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.22537881135940552},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0795997679233551},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2021.3134101","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2021.3134101","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4841087645","display_name":null,"funder_award_id":"UD200043CD_03","funder_id":"https://openalex.org/F4320323103","funder_display_name":"Agency for Defense Development"}],"funders":[{"id":"https://openalex.org/F4320323103","display_name":"Agency for Defense Development","ror":"https://ror.org/05fhe0r85"},{"id":"https://openalex.org/F4320334874","display_name":"Defense Acquisition Program Administration","ror":"https://ror.org/04bjg9m96"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W60768693","https://openalex.org/W1496537269","https://openalex.org/W1979743043","https://openalex.org/W1984016039","https://openalex.org/W1986385081","https://openalex.org/W1993722858","https://openalex.org/W2001331101","https://openalex.org/W2037009101","https://openalex.org/W2050188930","https://openalex.org/W2116364955","https://openalex.org/W2197995027","https://openalex.org/W2604410735","https://openalex.org/W2606891832","https://openalex.org/W2962822210","https://openalex.org/W2963056268","https://openalex.org/W2964009453","https://openalex.org/W2964040381","https://openalex.org/W3003168784","https://openalex.org/W3081975785","https://openalex.org/W3128605830","https://openalex.org/W4205353090"],"related_works":["https://openalex.org/W2383844134","https://openalex.org/W3093305317","https://openalex.org/W2374198922","https://openalex.org/W2889599571","https://openalex.org/W1833822726","https://openalex.org/W2798137860","https://openalex.org/W2065958989","https://openalex.org/W1998603635","https://openalex.org/W2363810458","https://openalex.org/W4283322381"],"abstract_inverted_index":{"Funnels":[0],"are":[1],"widely":[2],"used":[3],"in":[4,118],"safety-critical":[5],"applications":[6],"such":[7],"as":[8,12],"robust":[9],"motion":[10],"planning":[11],"conservative":[13],"bounds":[14],"for":[15,59],"possible":[16],"state":[17],"deviations":[18],"due":[19,35],"to":[20,36,77,123],"disturbances.":[21],"However,":[22],"the":[23,37,40,49,56,86,90,94,97,111],"problem":[24,58,91],"of":[25,39,72,89,96],"finding":[26],"a":[27,32,68,115,119],"tight":[28],"funnel":[29,117],"has":[30],"been":[31],"challenging":[33],"topic":[34],"complexity":[38],"Hamilton-Jacobi":[41],"partial":[42],"differential":[43],"equation":[44],"that":[45,84,110],"appears":[46],"when":[47],"solving":[48],"problem.":[50],"In":[51],"this":[52],"letter,":[53],"we":[54,65,108],"consider":[55],"funnel-finding":[57],"piecewise":[60],"polynomial":[61,79],"systems,":[62,75,107],"with":[63],"which":[64],"can":[66],"approximate":[67],"considerably":[69],"wider":[70],"range":[71],"real-world":[73],"dynamic":[74],"compared":[76,122],"global":[78],"approximations.":[80],"We":[81],"propose":[82],"techniques":[83],"reduce":[85],"computational":[87],"burden":[88],"and":[92],"improve":[93],"tightness":[95],"obtained":[98],"funnel.":[99],"Through":[100],"experimental":[101],"results":[102],"using":[103],"three":[104],"different":[105],"example":[106],"confirm":[109],"proposed":[112],"method":[113],"yields":[114],"tighter":[116],"shorter":[120],"time,":[121],"competing":[124],"polynomial-based":[125],"funnel-computing":[126],"methods.":[127]},"counts_by_year":[{"year":2024,"cited_by_count":3}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}