{"id":"https://openalex.org/W2141308815","doi":"https://doi.org/10.1109/tac.2008.2011011","title":"Application of Reachability Analysis for Stochastic Hybrid Systems to Aircraft Conflict Prediction","display_name":"Application of Reachability Analysis for Stochastic Hybrid Systems to Aircraft Conflict Prediction","publication_year":2009,"publication_date":"2009-03-30","ids":{"openalex":"https://openalex.org/W2141308815","doi":"https://doi.org/10.1109/tac.2008.2011011","mag":"2141308815"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2008.2011011","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2008.2011011","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","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/A5060251698","display_name":"Maria Prandini","orcid":"https://orcid.org/0000-0001-7443-4117"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"M. Prandini","raw_affiliation_strings":["Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milan, Italy","Dipt. di Elettron. e Inf., Politec. di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"Dipt. di Elettron. e Inf., Politec. di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035753295","display_name":"Jianghai Hu","orcid":"https://orcid.org/0000-0002-4250-8852"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianghai Hu","raw_affiliation_strings":["School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USA","Sch. of Electr. & Comput. engineering, Purdue Univ., West Lafayette, IN, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Purdue University, West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]},{"raw_affiliation_string":"Sch. of Electr. & Comput. engineering, Purdue Univ., West Lafayette, IN, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5060251698"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":null,"apc_paid":null,"fwci":126.6987,"has_fulltext":false,"cited_by_count":63,"citation_normalized_percentile":{"value":0.99851413,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"54","issue":"4","first_page":"913","last_page":"917"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11489","display_name":"Air Traffic Management and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T11489","display_name":"Air Traffic Management and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T12125","display_name":"Aerospace and Aviation Technology","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/2202","display_name":"Aerospace 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/T10524","display_name":"Traffic control and management","score":0.9932000041007996,"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/reachability","display_name":"Reachability","score":0.9806180000305176},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6822668313980103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6183146238327026},{"id":"https://openalex.org/keywords/plan","display_name":"Plan (archaeology)","score":0.48490363359451294},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.47092384099960327},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.45318078994750977},{"id":"https://openalex.org/keywords/flight-plan","display_name":"Flight plan","score":0.41119447350502014},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29316946864128113},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25291937589645386},{"id":"https://openalex.org/keywords/real-time-computing","display_name":"Real-time computing","score":0.15580937266349792},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.10276374220848083}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9806180000305176},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6822668313980103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6183146238327026},{"id":"https://openalex.org/C2776505523","wikidata":"https://www.wikidata.org/wiki/Q4785468","display_name":"Plan (archaeology)","level":2,"score":0.48490363359451294},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.47092384099960327},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.45318078994750977},{"id":"https://openalex.org/C2780211030","wikidata":"https://www.wikidata.org/wiki/Q545034","display_name":"Flight plan","level":2,"score":0.41119447350502014},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29316946864128113},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25291937589645386},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.15580937266349792},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.10276374220848083},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2008.2011011","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2008.2011011","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:re.public.polimi.it:11311/513504","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/513504","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:re.public.polimi.it:11311/535264","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/535264","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W98854306","https://openalex.org/W309294495","https://openalex.org/W1487949979","https://openalex.org/W1489726963","https://openalex.org/W1496281248","https://openalex.org/W1497240189","https://openalex.org/W1511256472","https://openalex.org/W1527683990","https://openalex.org/W1882576690","https://openalex.org/W1964377184","https://openalex.org/W2033118636","https://openalex.org/W2080813827","https://openalex.org/W2112407936","https://openalex.org/W2122087968","https://openalex.org/W2124489106","https://openalex.org/W2156835128","https://openalex.org/W2162943184","https://openalex.org/W2164096878","https://openalex.org/W2184078357","https://openalex.org/W2499588876","https://openalex.org/W2506598146","https://openalex.org/W2737446183","https://openalex.org/W4292366002","https://openalex.org/W6629548627","https://openalex.org/W6741584668"],"related_works":["https://openalex.org/W2357387646","https://openalex.org/W856973001","https://openalex.org/W78063724","https://openalex.org/W1604596197","https://openalex.org/W2103488150","https://openalex.org/W4249426951","https://openalex.org/W2172357028","https://openalex.org/W1598511836","https://openalex.org/W2952920810","https://openalex.org/W2091099650"],"abstract_inverted_index":{"Aircraft":[0],"conflict":[1],"prediction":[2],"can":[3],"be":[4],"naturally":[5],"formulated":[6],"as":[7],"a":[8,13,22,37,58],"reachability":[9,62],"analysis":[10],"problem":[11],"in":[12],"stochastic":[14],"hybrid":[15],"system":[16],"framework.":[17],"In":[18],"this":[19],"technical":[20],"note,":[21],"switching":[23],"diffusion":[24],"model":[25],"is":[26,55],"adopted":[27],"to":[28,68],"predict":[29],"the":[30,42,45,53,70],"future":[31],"positions":[32],"of":[33,52],"an":[34,49],"aircraft":[35,46],"following":[36],"given":[38],"flight":[39],"plan,":[40],"and":[41],"probability":[43],"that":[44],"will":[47],"enter":[48],"unsafe":[50],"region":[51],"airspace":[54],"estimated":[56],"through":[57],"numerical":[59],"algorithm":[60],"for":[61],"computations.":[63],"Simulation":[64],"results":[65],"are":[66],"reported":[67],"illustrate":[69],"approach.":[71]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":8},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}