{"id":"https://openalex.org/W4403918005","doi":"https://doi.org/10.1109/tac.2024.3488473","title":"Optimal Strategies of a Two-Lifeline Differential Game","display_name":"Optimal Strategies of a Two-Lifeline Differential Game","publication_year":2024,"publication_date":"2024-10-30","ids":{"openalex":"https://openalex.org/W4403918005","doi":"https://doi.org/10.1109/tac.2024.3488473"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3488473","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3488473","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/A5101020368","display_name":"Ningsheng Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ningsheng Xu","raw_affiliation_strings":["National Key Lab of Autonomous Intelligent Unmanned Systems, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"National Key Lab of Autonomous Intelligent Unmanned Systems, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113146279","display_name":"Weiwen Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiwen Huang","raw_affiliation_strings":["School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067702812","display_name":"Li Liang","orcid":"https://orcid.org/0000-0002-9106-9323"},"institutions":[{"id":"https://openalex.org/I75390827","display_name":"Beijing University of Chemical Technology","ror":"https://ror.org/00df5yc52","country_code":"CN","type":"education","lineage":["https://openalex.org/I75390827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Liang","raw_affiliation_strings":["College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Beijing University of Chemical Technology, Beijing, China","institution_ids":["https://openalex.org/I75390827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108050766","display_name":"Fang Deng","orcid":"https://orcid.org/0000-0002-1111-7285"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang Deng","raw_affiliation_strings":["National Key Lab of Autonomous Intelligent Unmanned Systems, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"National Key Lab of Autonomous Intelligent Unmanned Systems, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101020368"],"corresponding_institution_ids":["https://openalex.org/I125839683"],"apc_list":null,"apc_paid":null,"fwci":2.2684,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89148442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"70","issue":"4","first_page":"2591","last_page":"2598"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9692999720573425,"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":0.9692999720573425,"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/T13785","display_name":"Aquatic and Environmental Studies","score":0.9659000039100647,"subfield":{"id":"https://openalex.org/subfields/1904","display_name":"Earth-Surface Processes"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.6472993493080139},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.52329021692276},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4630209803581238},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41833046078681946},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.41204118728637695},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3511424660682678},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.34448719024658203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26336991786956787},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.24116617441177368},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18286743760108948},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.17682549357414246},{"id":"https://openalex.org/keywords/aerospace-engineering","display_name":"Aerospace engineering","score":0.111870676279068}],"concepts":[{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.6472993493080139},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.52329021692276},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4630209803581238},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41833046078681946},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.41204118728637695},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3511424660682678},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.34448719024658203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26336991786956787},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.24116617441177368},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18286743760108948},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.17682549357414246},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.111870676279068}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3488473","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3488473","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8740765357","display_name":null,"funder_award_id":"61933002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1975236902","https://openalex.org/W1975318518","https://openalex.org/W1981060287","https://openalex.org/W1994941173","https://openalex.org/W2009318488","https://openalex.org/W2041857090","https://openalex.org/W2068581168","https://openalex.org/W2083974549","https://openalex.org/W2088907413","https://openalex.org/W2106816694","https://openalex.org/W2116364955","https://openalex.org/W2329356151","https://openalex.org/W2414457428","https://openalex.org/W2507881886","https://openalex.org/W2575324015","https://openalex.org/W2771197443","https://openalex.org/W2785598896","https://openalex.org/W2898083769","https://openalex.org/W2911234349","https://openalex.org/W2913928749","https://openalex.org/W2955467773","https://openalex.org/W2980527142","https://openalex.org/W2994078358","https://openalex.org/W2996969381","https://openalex.org/W3001813235","https://openalex.org/W3017102765","https://openalex.org/W3035782080","https://openalex.org/W3035829937","https://openalex.org/W3043392858","https://openalex.org/W3067318617","https://openalex.org/W3123009522","https://openalex.org/W3161426377","https://openalex.org/W3165012323","https://openalex.org/W4313459893","https://openalex.org/W6602167388"],"related_works":["https://openalex.org/W4287869118","https://openalex.org/W3005585050","https://openalex.org/W1984343254","https://openalex.org/W3126195429","https://openalex.org/W2354473585","https://openalex.org/W2601906167","https://openalex.org/W3144554261","https://openalex.org/W4256290860","https://openalex.org/W2801573479","https://openalex.org/W2030449225"],"abstract_inverted_index":{"This":[0],"article":[1,140],"investigates":[2],"a":[3,14,21,114,142],"two-lifeline":[4,77,158],"differential":[5,78],"game":[6,22,79],"with":[7,88,96],"two":[8,25,30,46,81,89,97],"pursuers":[9,55,131,155],"and":[10,24,85,94,124,132,153],"one":[11,64,83,86],"evader":[12,33,60,87,95,106,134,152],"in":[13,50,135,156],"planar":[15],"environment":[16],"that":[17],"is":[18],"divided":[19],"into":[20,80],"area":[23,39],"target":[26,38,67],"areas":[27],"by":[28,40],"the":[29,37,45,51,54,59,66,71,76,91,101,105,108,119,126,130,133,151,154,157,167],"lifelines.":[31,98],"The":[32],"aims":[34],"to":[35,57,117,146,165],"enter":[36],"passing":[41],"through":[42],"either":[43],"of":[44,65,104,121,129],"lifelines,":[47],"eluding":[48],"capture":[49,58],"process.":[52],"Conversely,":[53],"endeavor":[56],"before":[61],"it":[62],"reaches":[63],"areas.":[68],"To":[69],"construct":[70,100],"barrier,":[72],"we":[73,112],"first":[74],"divide":[75],"subgames:":[82],"pursuer":[84,93],"lifelines;":[90],"other":[92],"We":[99],"reachable":[102],"region":[103],"using":[107],"Cartesian":[109],"oval.":[110],"Then,":[111],"employ":[113],"geometric":[115],"method":[116,145],"obtain":[118],"barrier":[120],"each":[122,136],"subgame":[123],"analyze":[125],"optimal":[127],"strategies":[128,148],"area.":[137],"Furthermore,":[138],"this":[139],"proposes":[141],"resultant":[143],"force":[144],"develop":[147],"for":[149],"both":[150],"game.":[159],"Finally,":[160],"simulation":[161],"examples":[162],"are":[163],"provided":[164],"validate":[166],"proposed":[168],"theoretical":[169],"results.":[170]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-12-21T23:12:01.093139","created_date":"2025-10-10T00:00:00"}
