{"id":"https://openalex.org/W4290666460","doi":"https://doi.org/10.1080/00207179.2022.2111369","title":"The holographic principle for the differential game of active target defence","display_name":"The holographic principle for the differential game of active target defence","publication_year":2022,"publication_date":"2022-08-08","ids":{"openalex":"https://openalex.org/W4290666460","doi":"https://doi.org/10.1080/00207179.2022.2111369"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2022.2111369","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2022.2111369","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of 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/A5003787520","display_name":"Kamal Mammadov","orcid":"https://orcid.org/0000-0003-1001-1128"},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"The University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Kamal Mammadov","raw_affiliation_strings":["School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia","institution_ids":["https://openalex.org/I5681781"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023255651","display_name":"Cheng\u2010Chew Lim","orcid":"https://orcid.org/0000-0002-2463-9760"},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"The University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Cheng-Chew Lim","raw_affiliation_strings":["School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia","institution_ids":["https://openalex.org/I5681781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100739668","display_name":"Peng Shi","orcid":"https://orcid.org/0000-0001-8218-586X"},"institutions":[{"id":"https://openalex.org/I5681781","display_name":"The University of Adelaide","ror":"https://ror.org/00892tw58","country_code":"AU","type":"education","lineage":["https://openalex.org/I5681781"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Peng Shi","raw_affiliation_strings":["School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, University of Adelaide, Adelaide, Australia","institution_ids":["https://openalex.org/I5681781"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003787520"],"corresponding_institution_ids":["https://openalex.org/I5681781"],"apc_list":null,"apc_paid":null,"fwci":1.1473,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.87004756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"96","issue":"11","first_page":"2725","last_page":"2736"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12158","display_name":"Guidance and Control Systems","score":0.9991999864578247,"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":0.9991999864578247,"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/T12957","display_name":"War, Ethics, and Justification","score":0.9818999767303467,"subfield":{"id":"https://openalex.org/subfields/1211","display_name":"Philosophy"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11261","display_name":"Quantum chaos and dynamical systems","score":0.9480000138282776,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/differential-game","display_name":"Differential game","score":0.6909730434417725},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6809287071228027},{"id":"https://openalex.org/keywords/pursuit-evasion","display_name":"Pursuit-evasion","score":0.6113733649253845},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5182604789733887},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.49445319175720215},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.49359238147735596},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4875885844230652},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.47296756505966187},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.46550968289375305},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.46305084228515625},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4553925395011902},{"id":"https://openalex.org/keywords/motion","display_name":"Motion (physics)","score":0.4393162429332733},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4375638961791992},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.42352601885795593},{"id":"https://openalex.org/keywords/pursuer","display_name":"Pursuer","score":0.41342929005622864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3807983100414276},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28584831953048706},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24452364444732666},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2343108057975769},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20608791708946228},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11363276839256287}],"concepts":[{"id":"https://openalex.org/C2779006483","wikidata":"https://www.wikidata.org/wiki/Q1973196","display_name":"Differential game","level":2,"score":0.6909730434417725},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6809287071228027},{"id":"https://openalex.org/C2778388243","wikidata":"https://www.wikidata.org/wiki/Q7261573","display_name":"Pursuit-evasion","level":2,"score":0.6113733649253845},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5182604789733887},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.49445319175720215},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.49359238147735596},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4875885844230652},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.47296756505966187},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.46550968289375305},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.46305084228515625},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4553925395011902},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.4393162429332733},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4375638961791992},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.42352601885795593},{"id":"https://openalex.org/C2776927521","wikidata":"https://www.wikidata.org/wiki/Q468489","display_name":"Pursuer","level":2,"score":0.41342929005622864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3807983100414276},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28584831953048706},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24452364444732666},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2343108057975769},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20608791708946228},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11363276839256287},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207179.2022.2111369","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2022.2111369","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"},{"id":"pmh:oai:eprints.vu.edu.au:47097","is_oa":false,"landing_page_url":"https://vuir.vu.edu.au/47097/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400215","display_name":"Victoria University Research Repository (Victoria University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I41156924","host_organization_name":"Victoria University of Wellington","host_organization_lineage":["https://openalex.org/I41156924"],"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":"PeerReviewed"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.46000000834465027,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W2058737528","https://openalex.org/W2492629073","https://openalex.org/W2800797998","https://openalex.org/W2886488633","https://openalex.org/W2911234349","https://openalex.org/W3004450831","https://openalex.org/W3034648039","https://openalex.org/W3126195429","https://openalex.org/W4232779220","https://openalex.org/W4234149323","https://openalex.org/W6754335670"],"related_works":["https://openalex.org/W347198394","https://openalex.org/W2968197229","https://openalex.org/W2013298725","https://openalex.org/W2023332127","https://openalex.org/W75113631","https://openalex.org/W4307814554","https://openalex.org/W2115074617","https://openalex.org/W2047772582","https://openalex.org/W4206747577","https://openalex.org/W2126065366"],"abstract_inverted_index":{"We":[0],"examine":[1],"the":[2,17,28,33,40,47,56,61,64,69,75,85,94,99,107,110,127],"Target\u2013Attacker\u2013Defender":[3],"(TAD)":[4],"pursuit-evasion":[5,146],"game.":[6],"This":[7,89],"is":[8,135],"a":[9,51,81,121,140],"two":[10],"team,":[11],"zero-sum":[12],"differential":[13],"game":[14,25],"consisting":[15],"of":[16,38,98,143],"aforementioned":[18],"three":[19,116],"agents":[20],"obeying":[21],"simple":[22,144],"motion.":[23],"The":[24,44],"terminates":[26],"at":[27,71,114],"first":[29],"time":[30],"tf":[31],"when":[32],"Attacker":[34,45],"achieves":[35],"point":[36],"capture":[37],"either":[39],"Target":[41,48,76],"or":[42],"Defender.":[43],"chases":[46],"in":[49,106],"such":[50],"manner":[52],"as":[53,80],"to":[54,83,139],"minimise":[55],"distance":[57,65],"between":[58,66],"itself":[59,67],"and":[60,68,74,77,92,130],"Target,":[62],"minus":[63],"Defender":[70,78],"termination":[72],"time;":[73],"work":[79],"team":[82],"achieve":[84],"exact":[86],"opposite":[87],"goal.":[88],"paper":[90],"introduces":[91],"verifies":[93],"most":[95],"elegant":[96],"characterisation":[97],"state-feedback":[100],"Nash":[101],"equilibrium.":[102],"Whereas":[103],"previous":[104],"methods":[105],"literature":[108],"segregated":[109],"state":[111],"space":[112],"into":[113],"least":[115],"separate":[117],"regions,":[118],"we":[119],"introduce":[120],"new":[122],"unifying":[123],"paradigm":[124],"given":[125],"by":[126],"Holographic":[128],"Principle,":[129],"conjecture":[131],"that":[132],"this":[133],"principle":[134],"more":[136],"broadly":[137],"applicable":[138],"large":[141],"class":[142],"motion":[145],"games.":[147]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}