{"id":"https://openalex.org/W4407949928","doi":"https://doi.org/10.1109/cdc56724.2024.10886592","title":"Reachability Analysis of Nonlinear Discrete-Time Systems Using Polyhedral Relaxations and Constrained Zonotopes<sup>*</sup>","display_name":"Reachability Analysis of Nonlinear Discrete-Time Systems Using Polyhedral Relaxations and Constrained Zonotopes<sup>*</sup>","publication_year":2024,"publication_date":"2024-12-16","ids":{"openalex":"https://openalex.org/W4407949928","doi":"https://doi.org/10.1109/cdc56724.2024.10886592"},"language":"en","primary_location":{"id":"doi:10.1109/cdc56724.2024.10886592","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886592","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2504.11663","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001676975","display_name":"Brenner S. Rego","orcid":"https://orcid.org/0000-0002-5889-7602"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Brenner S. Rego","raw_affiliation_strings":["Georgia Institute of Technology, 311 Ferst Dr.,Department of Chemical and Biomolecular Engineering,Atlanta,GA,USA,30318"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology, 311 Ferst Dr.,Department of Chemical and Biomolecular Engineering,Atlanta,GA,USA,30318","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044452531","display_name":"Guilherme V. Raffo","orcid":"https://orcid.org/0000-0002-1835-8380"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Guilherme V. Raffo","raw_affiliation_strings":["Federal University of Minas Gerais,Department of Electronics Engineering and the Graduate Program in Electrical Engineering,Belo Horizonte,MG,Brazil,31270-901"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Federal University of Minas Gerais,Department of Electronics Engineering and the Graduate Program in Electrical Engineering,Belo Horizonte,MG,Brazil,31270-901","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Marco H. Terra","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marco H. Terra","raw_affiliation_strings":["University of S&#x00E4;o Paulo,Department of Electrical and Computer Engineering,S&#x00E4;o Carlos,SP,Brazil,13566-590"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of S&#x00E4;o Paulo,Department of Electrical and Computer Engineering,S&#x00E4;o Carlos,SP,Brazil,13566-590","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091115429","display_name":"Joseph K. Scott","orcid":"https://orcid.org/0000-0003-1518-0721"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Joseph K. Scott","raw_affiliation_strings":["Georgia Institute of Technology, 311 Ferst Dr.,Department of Chemical and Biomolecular Engineering,Atlanta,GA,USA,30318"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Georgia Institute of Technology, 311 Ferst Dr.,Department of Chemical and Biomolecular Engineering,Atlanta,GA,USA,30318","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6375,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.84321224,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"7032","last_page":"7037"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9657999873161316,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9657999873161316,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9589999914169312,"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/T10142","display_name":"Formal Methods in Verification","score":0.9585999846458435,"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/reachability","display_name":"Reachability","score":0.889983057975769},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5898183584213257},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4006197452545166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3925110101699829},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3490617275238037},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28846848011016846},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2654440104961395}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.889983057975769},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5898183584213257},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4006197452545166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3925110101699829},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3490617275238037},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28846848011016846},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2654440104961395},{"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/cdc56724.2024.10886592","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc56724.2024.10886592","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE 63rd Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2504.11663","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.11663","pdf_url":"https://arxiv.org/pdf/2504.11663","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2504.11663","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2504.11663","pdf_url":"https://arxiv.org/pdf/2504.11663","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.550000011920929}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1507872748","https://openalex.org/W1987592584","https://openalex.org/W2004407575","https://openalex.org/W2013002270","https://openalex.org/W2051110650","https://openalex.org/W2099084425","https://openalex.org/W2161362637","https://openalex.org/W2170398694","https://openalex.org/W2300621294","https://openalex.org/W2528300482","https://openalex.org/W2808841883","https://openalex.org/W2902617280","https://openalex.org/W3025405458","https://openalex.org/W3086849158","https://openalex.org/W3107034996","https://openalex.org/W3126609340","https://openalex.org/W3159334459","https://openalex.org/W4252174019","https://openalex.org/W4293149262","https://openalex.org/W4312466853","https://openalex.org/W4372317560","https://openalex.org/W4388626270","https://openalex.org/W4388904508","https://openalex.org/W4391021968","https://openalex.org/W4393140309","https://openalex.org/W6875655196"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W2127267268","https://openalex.org/W2136512912","https://openalex.org/W2067910792","https://openalex.org/W2156446763","https://openalex.org/W2143461633","https://openalex.org/W2150194458","https://openalex.org/W4321471459"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3],"novel":[4],"algorithm":[5],"for":[6],"reachability":[7],"analysis":[8],"of":[9,23,26,63,80],"nonlinear":[10,27,33],"discrete-time":[11],"systems.":[12],"The":[13,43],"proposed":[14,82],"method":[15,46],"combines":[16],"constrained":[17],"zonotopes":[18],"(CZs)":[19],"with":[20],"polyhedral":[21],"relaxations":[22],"factorable":[24],"representations":[25],"functions":[28],"to":[29,57,68],"propagate":[30],"CZs":[31],"through":[32],"functions,":[34],"which":[35],"is":[36],"normally":[37],"done":[38],"using":[39],"conservative":[40],"linearization":[41,54],"techniques.":[42],"new":[44],"propagation":[45],"provides":[47],"better":[48],"approximations":[49],"than":[50],"those":[51],"resulting":[52],"from":[53,72],"procedures,":[55],"leading":[56],"significant":[58],"improvements":[59],"in":[60,66],"the":[61,73,78,81],"computation":[62],"reachable":[64],"sets":[65],"comparison":[67],"other":[69],"CZ":[70],"methods":[71],"literature.":[74],"Numerical":[75],"examples":[76],"highlight":[77],"advantages":[79],"algorithm.":[83]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-02-27T00:00:00"}