{"id":"https://openalex.org/W4389459171","doi":"https://doi.org/10.1109/tcns.2023.3340288","title":"Spatiotemporal Evolution Control of Malicious Virus Propagation in Cyber Physical Systems via PD Feedback Control","display_name":"Spatiotemporal Evolution Control of Malicious Virus Propagation in Cyber Physical Systems via PD Feedback Control","publication_year":2023,"publication_date":"2023-12-07","ids":{"openalex":"https://openalex.org/W4389459171","doi":"https://doi.org/10.1109/tcns.2023.3340288"},"language":"en","primary_location":{"id":"doi:10.1109/tcns.2023.3340288","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2023.3340288","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/A5037007589","display_name":"Qianhui Zhuang","orcid":"https://orcid.org/0009-0007-9810-0155"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qianhui Zhuang","raw_affiliation_strings":["College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054421000","display_name":"Min Xiao","orcid":"https://orcid.org/0000-0002-8992-153X"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Min Xiao","raw_affiliation_strings":["College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015758351","display_name":"Jie Ding","orcid":"https://orcid.org/0000-0002-9910-6280"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Ding","raw_affiliation_strings":["College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062534500","display_name":"Qinmin Yang","orcid":"https://orcid.org/0000-0002-1602-8986"},"institutions":[{"id":"https://openalex.org/I4391767838","display_name":"State Key Laboratory of Industrial Control Technology","ror":"https://ror.org/03a33a786","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391767838","https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qinmin Yang","raw_affiliation_strings":["State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Industrial Control Technology, College of Control Science and Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I4391767838"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017808266","display_name":"Jinde Cao","orcid":"https://orcid.org/0000-0003-3133-7119"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN","KR"],"is_corresponding":false,"raw_author_name":"Jinde Cao","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, China","Yonsei Frontier Lab, Yonsei University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Yonsei Frontier Lab, Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108050907","display_name":"Wei Xing Zheng","orcid":"https://orcid.org/0000-0002-0572-5938"},"institutions":[{"id":"https://openalex.org/I63525965","display_name":"Western Sydney University","ror":"https://ror.org/03t52dk35","country_code":"AU","type":"education","lineage":["https://openalex.org/I63525965"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Wei Xing Zheng","raw_affiliation_strings":["School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney, NSW, Australia"],"affiliations":[{"raw_affiliation_string":"School of Computer, Data and Mathematical Sciences, Western Sydney University, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I63525965"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5037007589"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":null,"apc_paid":null,"fwci":3.4782,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.92854542,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"11","issue":"3","first_page":"1562","last_page":"1575"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10482","display_name":"Mathematical and Theoretical Epidemiology and Ecology Models","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2739","display_name":"Public Health, Environmental and Occupational Health"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T10400","display_name":"Network Security and Intrusion Detection","score":0.9937000274658203,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9653000235557556,"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/hopf-bifurcation","display_name":"Hopf bifurcation","score":0.7951942682266235},{"id":"https://openalex.org/keywords/malware","display_name":"Malware","score":0.5794031620025635},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5528528094291687},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4655284285545349},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.4587753713130951},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.4513779878616333},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4507850408554077},{"id":"https://openalex.org/keywords/biological-applications-of-bifurcation-theory","display_name":"Biological applications of bifurcation theory","score":0.44666796922683716},{"id":"https://openalex.org/keywords/saddle-node-bifurcation","display_name":"Saddle-node bifurcation","score":0.41699880361557007},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38320595026016235},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.33529430627822876},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24097827076911926},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10339540243148804},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.09763205051422119},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.08807983994483948},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07862028479576111}],"concepts":[{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.7951942682266235},{"id":"https://openalex.org/C541664917","wikidata":"https://www.wikidata.org/wiki/Q14001","display_name":"Malware","level":2,"score":0.5794031620025635},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5528528094291687},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4655284285545349},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.4587753713130951},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.4513779878616333},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4507850408554077},{"id":"https://openalex.org/C174914120","wikidata":"https://www.wikidata.org/wiki/Q4914973","display_name":"Biological applications of bifurcation theory","level":5,"score":0.44666796922683716},{"id":"https://openalex.org/C101225446","wikidata":"https://www.wikidata.org/wiki/Q740190","display_name":"Saddle-node bifurcation","level":4,"score":0.41699880361557007},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38320595026016235},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.33529430627822876},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24097827076911926},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10339540243148804},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.09763205051422119},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.08807983994483948},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07862028479576111},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcns.2023.3340288","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcns.2023.3340288","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":[],"awards":[{"id":"https://openalex.org/G1810446312","display_name":null,"funder_award_id":"62073172","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1188098084","https://openalex.org/W1531715726","https://openalex.org/W1605753492","https://openalex.org/W1919244634","https://openalex.org/W1966397236","https://openalex.org/W1968557805","https://openalex.org/W1972757409","https://openalex.org/W2006474827","https://openalex.org/W2057423239","https://openalex.org/W2094913794","https://openalex.org/W2121419978","https://openalex.org/W2498243774","https://openalex.org/W2624783149","https://openalex.org/W2746661042","https://openalex.org/W2888751768","https://openalex.org/W2895415875","https://openalex.org/W2970705789","https://openalex.org/W2991126964","https://openalex.org/W2997412966","https://openalex.org/W3046220573","https://openalex.org/W3180235942","https://openalex.org/W3188816006","https://openalex.org/W3212371153","https://openalex.org/W4205859290","https://openalex.org/W4214513274","https://openalex.org/W4226058286","https://openalex.org/W4239975174","https://openalex.org/W4289938088","https://openalex.org/W4291653176","https://openalex.org/W4318350604"],"related_works":["https://openalex.org/W2543553286","https://openalex.org/W2255858401","https://openalex.org/W2012700469","https://openalex.org/W2382323441","https://openalex.org/W2393929457","https://openalex.org/W2828044739","https://openalex.org/W189436430","https://openalex.org/W2353805507","https://openalex.org/W4238806107","https://openalex.org/W2090584918"],"abstract_inverted_index":{"This":[0],"paper":[1],"puts":[2],"forward":[3],"a":[4,97,106],"malicious":[5,44,55,140],"virus":[6,45,56,141],"propagation":[7,57,142],"model":[8],"with":[9],"diffusion":[10,22],"and":[11,23,31,58,64,83,112,123,130,154],"time":[12,24],"delay":[13,25],"in":[14,46,74],"cyber":[15],"physical":[16],"systems":[17,89],"(CPSs).":[18],"The":[19,117,128],"appearance":[20],"of":[21,43,54,71,80,114,120,132,150],"may":[26],"lead":[27],"to":[28,49,59,172],"Turing":[29,62,81,121,152],"instability":[30,63,82,122,153],"Hopf":[32,65,84,124,133,156],"bifurcation":[33,66,85,125,134,157],"respectively,":[34],"which":[35,104],"are":[36,67,126,135,170],"two":[37],"significant":[38],"features":[39],"for":[40,86,109,137],"the":[41,51,68,110,138,148,174],"spread":[42],"CPS.":[47,75],"Therefore,":[48],"understand":[50],"evolution":[52],"mechanism":[53],"control":[60,79,102,113,163],"its":[61],"overriding":[69],"problem":[70],"paramount":[72],"importance":[73],"However,":[76],"studies":[77],"on":[78],"time-delay":[87],"reaction-diffusion":[88],"have":[90],"not":[91],"been":[92],"reported.":[93],"We":[94],"first":[95],"propose":[96],"proportional":[98],"derivative":[99],"(PD)":[100],"feedback":[101],"programme,":[103],"provides":[105],"strategic":[107],"guidance":[108],"prediction":[111],"malware":[115],"spread.":[116],"specific":[118],"conditions":[119],"constructed.":[127],"stability":[129],"direction":[131],"explored":[136],"controlled":[139],"model.":[143],"It":[144],"is":[145,158],"proved":[146],"that":[147],"objective":[149],"suppressing":[151],"regulating":[155],"accomplished":[159],"successfully":[160],"through":[161],"PD":[162],"scheme.":[164],"Finally,":[165],"some":[166],"numerical":[167],"simulation":[168],"cases":[169],"supplied":[171],"authenticate":[173],"theoretical":[175],"results.":[176]},"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
