{"id":"https://openalex.org/W4315473852","doi":"https://doi.org/10.1109/taes.2023.3235860","title":"Horizontal and Orthogonal Defensive Formations for Two Weak Pursuers and One Evader Game","display_name":"Horizontal and Orthogonal Defensive Formations for Two Weak Pursuers and One Evader Game","publication_year":2023,"publication_date":"2023-01-10","ids":{"openalex":"https://openalex.org/W4315473852","doi":"https://doi.org/10.1109/taes.2023.3235860"},"language":"en","primary_location":{"id":"doi:10.1109/taes.2023.3235860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2023.3235860","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"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 Aerospace and Electronic Systems","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/A5100354122","display_name":"Pengfei Zhang","orcid":"https://orcid.org/0000-0001-7707-5172"},"institutions":[{"id":"https://openalex.org/I202334528","display_name":"Beijing Electronic Science and Technology Institute","ror":"https://ror.org/01xdzh226","country_code":"CN","type":"education","lineage":["https://openalex.org/I202334528"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Pengfei Zhang","raw_affiliation_strings":["Beijing Institute of Electronic System Engineering, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Institute of Electronic System Engineering, Beijing, China","institution_ids":["https://openalex.org/I202334528"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005823708","display_name":"Yiqun Zhang","orcid":"https://orcid.org/0000-0002-9419-1703"},"institutions":[{"id":"https://openalex.org/I202334528","display_name":"Beijing Electronic Science and Technology Institute","ror":"https://ror.org/01xdzh226","country_code":"CN","type":"education","lineage":["https://openalex.org/I202334528"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yiqun Zhang","raw_affiliation_strings":["Beijing Institute of Electronic System Engineering, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing Institute of Electronic System Engineering, Beijing, China","institution_ids":["https://openalex.org/I202334528"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100354122"],"corresponding_institution_ids":["https://openalex.org/I202334528"],"apc_list":null,"apc_paid":null,"fwci":3.0883,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.90499307,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"59","issue":"4","first_page":"4063","last_page":"4075"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","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/T12158","display_name":"Guidance and Control Systems","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/T13371","display_name":"Military Defense Systems Analysis","score":0.9919000267982483,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9685999751091003,"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/pursuer","display_name":"Pursuer","score":0.6375966668128967},{"id":"https://openalex.org/keywords/missile","display_name":"Missile","score":0.4996910095214844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48528406023979187},{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.4614627957344055},{"id":"https://openalex.org/keywords/interception","display_name":"Interception","score":0.44368353486061096},{"id":"https://openalex.org/keywords/acceleration","display_name":"Acceleration","score":0.4310157895088196},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3373655676841736},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3229089081287384},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.27016833424568176},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2548311948776245},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2018602192401886},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14941075444221497},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.10849419236183167},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.10129457712173462}],"concepts":[{"id":"https://openalex.org/C2776927521","wikidata":"https://www.wikidata.org/wiki/Q468489","display_name":"Pursuer","level":2,"score":0.6375966668128967},{"id":"https://openalex.org/C2778857364","wikidata":"https://www.wikidata.org/wiki/Q974850","display_name":"Missile","level":2,"score":0.4996910095214844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48528406023979187},{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.4614627957344055},{"id":"https://openalex.org/C61270487","wikidata":"https://www.wikidata.org/wiki/Q476843","display_name":"Interception","level":2,"score":0.44368353486061096},{"id":"https://openalex.org/C117896860","wikidata":"https://www.wikidata.org/wiki/Q11376","display_name":"Acceleration","level":2,"score":0.4310157895088196},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3373655676841736},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3229089081287384},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27016833424568176},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2548311948776245},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2018602192401886},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14941075444221497},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.10849419236183167},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.10129457712173462},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/taes.2023.3235860","is_oa":false,"landing_page_url":"https://doi.org/10.1109/taes.2023.3235860","pdf_url":null,"source":{"id":"https://openalex.org/S193624734","display_name":"IEEE Transactions on Aerospace and Electronic Systems","issn_l":"0018-9251","issn":["0018-9251","1557-9603","2371-9877"],"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 Aerospace and Electronic Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W62549276","https://openalex.org/W1973927316","https://openalex.org/W2013298725","https://openalex.org/W2017923077","https://openalex.org/W2039427135","https://openalex.org/W2055504162","https://openalex.org/W2171558769","https://openalex.org/W2551502955","https://openalex.org/W2580211036","https://openalex.org/W2605715724","https://openalex.org/W2766096873","https://openalex.org/W2781988008","https://openalex.org/W2911675879","https://openalex.org/W3008854324","https://openalex.org/W4255086963","https://openalex.org/W4292258085"],"related_works":["https://openalex.org/W3046558843","https://openalex.org/W4387653201","https://openalex.org/W2059854541","https://openalex.org/W2363071966","https://openalex.org/W4320037644","https://openalex.org/W2378731132","https://openalex.org/W4319323515","https://openalex.org/W2114317113","https://openalex.org/W2003150006","https://openalex.org/W2463510585"],"abstract_inverted_index":{"Defensive":[0],"formation":[1,26,33,115],"of":[2,10,38,52,97],"the":[3,8,11,23,30,35,44,48,53,58,72,80,87,93,98,101,105,113,121,128],"pursuers":[4,13,74],"is":[5,47,62,84],"critical":[6],"to":[7],"result":[9],"two":[12,73,106],"and":[14,100],"one":[15],"evader":[16,99],"differential":[17],"games.":[18],"This":[19],"article":[20],"focuses":[21],"on":[22,92],"horizontal":[24,59,114],"defensive":[25,32,107],"as":[27,29],"well":[28],"orthogonal":[31,81,122],"for":[34],"end":[36],"game":[37],"homing":[39],"missile":[40],"interception,":[41],"in":[42,57,79],"which":[43],"payoff":[45],"function":[46],"minimal":[49],"terminal":[50],"miss":[51,119],"pursuers.":[54],"In":[55,103],"particular,":[56],"formation,":[60,82],"it":[61,83],"proved":[63],"that":[64,86,112],"there":[65],"exists":[66],"an":[67],"optimal":[68,89],"initial":[69],"distance":[70],"between":[71],"with":[75,127],"a":[76,117],"heuristic":[77],"approach;":[78],"deduced":[85],"evader's":[88],"strategy":[90],"depends":[91],"maximum":[94],"acceleration":[95],"ratio":[96],"pursuer.":[102],"addition,":[104],"formations":[108],"are":[109],"compared,":[110],"implying":[111],"gives":[116],"lesser":[118],"than":[120],"formation.":[123],"Simulation":[124],"results":[125],"agree":[126],"theoretical":[129],"analysis.":[130]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
