{"id":"https://openalex.org/W4294310823","doi":"https://doi.org/10.1109/tcns.2022.3203909","title":"Optimal Injection Attack Strategy for Cyber-Physical Systems Under Resource Constraint: A Game Approach","display_name":"Optimal Injection Attack Strategy for Cyber-Physical Systems Under Resource Constraint: A Game Approach","publication_year":2022,"publication_date":"2022-09-02","ids":{"openalex":"https://openalex.org/W4294310823","doi":"https://doi.org/10.1109/tcns.2022.3203909"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2022.3203909","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2022.3203909","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network 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/A5101412853","display_name":"Sheng Gao","orcid":"https://orcid.org/0000-0003-3694-0021"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sheng Gao","raw_affiliation_strings":["College of Electronic and Information Engineering, Department of Control Science and Engineering, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-3694-0021","affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Department of Control Science and Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100396911","display_name":"Hao Zhang","orcid":"https://orcid.org/0000-0002-4527-9610"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Zhang","raw_affiliation_strings":["College of Electronic and Information Engineering, Department of Control Science and Engineering, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-4527-9610","affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Department of Control Science and Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040673729","display_name":"Zhuping Wang","orcid":"https://orcid.org/0000-0002-0334-4082"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhuping Wang","raw_affiliation_strings":["College of Electronic and Information Engineering, Department of Control Science and Engineering, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-0334-4082","affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Department of Control Science and Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033587288","display_name":"Chao Huang","orcid":"https://orcid.org/0000-0002-6951-8137"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Huang","raw_affiliation_strings":["College of Electronic and Information Engineering, Department of Control Science and Engineering, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-6951-8137","affiliations":[{"raw_affiliation_string":"College of Electronic and Information Engineering, Department of Control Science and Engineering, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079742998","display_name":"Huaicheng Yan","orcid":"https://orcid.org/0000-0001-5496-1809"},"institutions":[{"id":"https://openalex.org/I143593769","display_name":"East China University of Science and Technology","ror":"https://ror.org/01vyrm377","country_code":"CN","type":"education","lineage":["https://openalex.org/I143593769"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaicheng Yan","raw_affiliation_strings":["School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-5496-1809","affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, East China University of Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I143593769"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0631,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.86538572,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"10","issue":"2","first_page":"636","last_page":"646"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10917","display_name":"Smart Grid Security and Resilience","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10917","display_name":"Smart Grid Security and Resilience","score":0.9997000098228455,"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/T11005","display_name":"Radiation Effects in Electronics","score":0.973800003528595,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12495","display_name":"Electrostatic Discharge in Electronics","score":0.9718999862670898,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/offensive","display_name":"Offensive","score":0.71324223279953},{"id":"https://openalex.org/keywords/cyber-physical-system","display_name":"Cyber-physical system","score":0.689375638961792},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6151149272918701},{"id":"https://openalex.org/keywords/pontryagins-minimum-principle","display_name":"Pontryagin's minimum principle","score":0.5714268088340759},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.557506799697876},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5515661835670471},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.5003154277801514},{"id":"https://openalex.org/keywords/energy-consumption","display_name":"Energy consumption","score":0.4339927136898041},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.42787569761276245},{"id":"https://openalex.org/keywords/sequential-game","display_name":"Sequential game","score":0.41246938705444336},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.3692726492881775},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20822909474372864},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.17355111241340637},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14801305532455444},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.0888960063457489}],"concepts":[{"id":"https://openalex.org/C176856949","wikidata":"https://www.wikidata.org/wiki/Q2001676","display_name":"Offensive","level":2,"score":0.71324223279953},{"id":"https://openalex.org/C179768478","wikidata":"https://www.wikidata.org/wiki/Q1120057","display_name":"Cyber-physical system","level":2,"score":0.689375638961792},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6151149272918701},{"id":"https://openalex.org/C141803461","wikidata":"https://www.wikidata.org/wiki/Q3491629","display_name":"Pontryagin's minimum principle","level":3,"score":0.5714268088340759},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.557506799697876},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5515661835670471},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.5003154277801514},{"id":"https://openalex.org/C2780165032","wikidata":"https://www.wikidata.org/wiki/Q16869822","display_name":"Energy consumption","level":2,"score":0.4339927136898041},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.42787569761276245},{"id":"https://openalex.org/C73795354","wikidata":"https://www.wikidata.org/wiki/Q287618","display_name":"Sequential game","level":3,"score":0.41246938705444336},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.3692726492881775},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20822909474372864},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.17355111241340637},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14801305532455444},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.0888960063457489},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcns.2022.3203909","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2022.3203909","pdf_url":null,"source":{"id":"https://openalex.org/S2502544478","display_name":"IEEE Transactions on Control of Network Systems","issn_l":"2325-5870","issn":["2325-5870","2372-2533"],"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 Control of Network Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8600000143051147}],"awards":[{"id":"https://openalex.org/G1375595937","display_name":null,"funder_award_id":"61922063","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1842429679","display_name":null,"funder_award_id":"62273255","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7564386315","display_name":null,"funder_award_id":"62150026","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"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W2002518043","https://openalex.org/W2008873414","https://openalex.org/W2009257627","https://openalex.org/W2063548791","https://openalex.org/W2063688797","https://openalex.org/W2104849640","https://openalex.org/W2147341361","https://openalex.org/W2149365358","https://openalex.org/W2332607870","https://openalex.org/W2340384825","https://openalex.org/W2402911760","https://openalex.org/W2484646121","https://openalex.org/W2498135592","https://openalex.org/W2500734973","https://openalex.org/W2555431798","https://openalex.org/W2581108373","https://openalex.org/W2727450595","https://openalex.org/W2728389370","https://openalex.org/W2792111770","https://openalex.org/W2811475107","https://openalex.org/W2885433138","https://openalex.org/W2907018391","https://openalex.org/W2963955823","https://openalex.org/W2980514433","https://openalex.org/W3092252985","https://openalex.org/W3133492944","https://openalex.org/W6723946249"],"related_works":["https://openalex.org/W2071306797","https://openalex.org/W2405803446","https://openalex.org/W2374666693","https://openalex.org/W2911145752","https://openalex.org/W1987421962","https://openalex.org/W2372443802","https://openalex.org/W2363987469","https://openalex.org/W2149560990","https://openalex.org/W1517532457","https://openalex.org/W2124372900"],"abstract_inverted_index":{"The":[0,85],"security":[1],"problem":[2],"of":[3,45,66,87,115,161],"cyber-physical":[4],"systems":[5],"(CPSs)":[6],"under":[7],"the":[8,24,31,43,46,54,57,64,105,108,112,135,153,159,162],"injection":[9,19],"attack":[10,20,48,117],"is":[11,27,50,70,82,90,118],"investigated":[12],"in":[13,61],"this":[14,62,74,88,101,131],"article.":[15],"A":[16],"switching":[17],"data":[18],"strategy":[21,98,140],"based":[22],"on":[23,111],"game":[25,69,132],"approach":[26,126],"proposed,":[28],"which":[29],"makes":[30],"attacker":[32,55],"consume":[33],"less":[34],"energy":[35,113],"and":[36,56,76,96,123,138,148],"more":[37],"difficult":[38],"to":[39,72,91,99,129],"defend.":[40],"In":[41],"addition,":[42],"constraint":[44],"limited":[47],"resources":[49],"considered.":[51,119],"Noting":[52],"that":[53],"defender":[58],"are":[59,127],"antagonistic":[60],"article,":[63],"framework":[65],"a":[67,77,145,149],"zero-sum":[68],"used":[71,128],"describe":[73],"relation,":[75],"finite-horizon":[78],"quadratic":[79],"cost":[80],"function":[81],"also":[83],"defined.":[84],"objective":[86],"article":[89],"find":[92],"an":[93],"appropriate":[94],"offensive":[95,137],"defensive":[97,139],"optimize":[100],"function.":[102],"Different":[103],"from":[104],"existing":[106],"games,":[107],"upper":[109],"bound":[110],"consumption":[114],"each":[116],"Pontryagin's":[120],"maximum":[121],"principle":[122],"saturation":[124],"equivalent":[125],"solve":[130],"problem.":[133],"Thus,":[134],"optimal":[136],"can":[141],"be":[142],"derived.":[143],"Finally,":[144],"numerical":[146],"simulation":[147],"physical":[150],"experiment":[151],"with":[152],"wheeled":[154],"mobile":[155],"robot":[156],"(WMR)":[157],"validate":[158],"effectiveness":[160],"proposed":[163],"scheme.":[164]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
