{"id":"https://openalex.org/W4288364036","doi":"https://doi.org/10.1109/access.2022.3207468","title":"Stability of Cyber-Physical Systems of Numerical Methods for Stochastic Differential Equations: Integrating the Cyber and the Physical of Stochastic Systems","display_name":"Stability of Cyber-Physical Systems of Numerical Methods for Stochastic Differential Equations: Integrating the Cyber and the Physical of Stochastic Systems","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4288364036","doi":"https://doi.org/10.1109/access.2022.3207468"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3207468","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3207468","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09894403.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09894403.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103192790","display_name":"Lirong Huang","orcid":"https://orcid.org/0000-0002-6441-3918"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lirong Huang","raw_affiliation_strings":["Guangzhou, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guangzhou, Guangdong, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5103192790"],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.3933,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.53763441,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"10","issue":null,"first_page":"99479","last_page":"99497"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9854999780654907,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9854999780654907,"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/T11195","display_name":"Simulation Techniques and Applications","score":0.982699990272522,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T13286","display_name":"Modeling and Simulation Systems","score":0.9563000202178955,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cyber-physical-system","display_name":"Cyber-physical system","score":0.8888044357299805},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5909523367881775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5706982016563416},{"id":"https://openalex.org/keywords/physical-system","display_name":"Physical system","score":0.5495973825454712},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.49980640411376953},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.4907444715499878},{"id":"https://openalex.org/keywords/stochastic-partial-differential-equation","display_name":"Stochastic partial differential equation","score":0.43141037225723267},{"id":"https://openalex.org/keywords/stochastic-differential-equation","display_name":"Stochastic differential equation","score":0.41546082496643066},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2618618607521057},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21276220679283142},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12604081630706787},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11788731813430786}],"concepts":[{"id":"https://openalex.org/C179768478","wikidata":"https://www.wikidata.org/wiki/Q1120057","display_name":"Cyber-physical system","level":2,"score":0.8888044357299805},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5909523367881775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5706982016563416},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.5495973825454712},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.49980640411376953},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.4907444715499878},{"id":"https://openalex.org/C84629840","wikidata":"https://www.wikidata.org/wiki/Q16979017","display_name":"Stochastic partial differential equation","level":3,"score":0.43141037225723267},{"id":"https://openalex.org/C51955184","wikidata":"https://www.wikidata.org/wiki/Q1545585","display_name":"Stochastic differential equation","level":2,"score":0.41546082496643066},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2618618607521057},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21276220679283142},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12604081630706787},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11788731813430786},{"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},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2022.3207468","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3207468","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09894403.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1904.12439","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1904.12439","pdf_url":"https://arxiv.org/pdf/1904.12439","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:doaj.org/article:826d6726c04942a2bccf36b3fe7c4aa5","is_oa":false,"landing_page_url":"https://doaj.org/article/826d6726c04942a2bccf36b3fe7c4aa5","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 99479-99497 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3207468","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3207468","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/09894403.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3058587540","display_name":null,"funder_award_id":"61877012","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/F4320321940","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4288364036.pdf","grobid_xml":"https://content.openalex.org/works/W4288364036.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W566434069","https://openalex.org/W578044013","https://openalex.org/W629493226","https://openalex.org/W1494628843","https://openalex.org/W1500191616","https://openalex.org/W1527571715","https://openalex.org/W1536997931","https://openalex.org/W1544770838","https://openalex.org/W1575515680","https://openalex.org/W1579485993","https://openalex.org/W1621950790","https://openalex.org/W1947506120","https://openalex.org/W1964221133","https://openalex.org/W1974618629","https://openalex.org/W1975417422","https://openalex.org/W1978275259","https://openalex.org/W1981041832","https://openalex.org/W1983097489","https://openalex.org/W2003192055","https://openalex.org/W2022611390","https://openalex.org/W2027986690","https://openalex.org/W2028796896","https://openalex.org/W2050098163","https://openalex.org/W2050840600","https://openalex.org/W2074126939","https://openalex.org/W2088680241","https://openalex.org/W2094680618","https://openalex.org/W2096399107","https://openalex.org/W2100211597","https://openalex.org/W2104659821","https://openalex.org/W2105277645","https://openalex.org/W2129801286","https://openalex.org/W2131766020","https://openalex.org/W2145137020","https://openalex.org/W2160854968","https://openalex.org/W2170316986","https://openalex.org/W2293702630","https://openalex.org/W2375099263","https://openalex.org/W2499662517","https://openalex.org/W2500884611","https://openalex.org/W2509694617","https://openalex.org/W2765395770","https://openalex.org/W2766523540","https://openalex.org/W2963180405","https://openalex.org/W3101256565","https://openalex.org/W3210839039","https://openalex.org/W4211127940","https://openalex.org/W4214898709","https://openalex.org/W4231021340","https://openalex.org/W6929548874"],"related_works":["https://openalex.org/W2994120531","https://openalex.org/W620239920","https://openalex.org/W2108326965","https://openalex.org/W109055908","https://openalex.org/W2086962923","https://openalex.org/W2756692340","https://openalex.org/W3099113830","https://openalex.org/W4229048927","https://openalex.org/W2060658157","https://openalex.org/W2734530159"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"the":[3,21,33,37,40,44,54,57,62,95,113,118,124,127,130,133,144,152,158,167,170,181],"cyber-physical":[4],"system":[5],"(CPS)":[6],"of":[7,20,23,53,81,94,110,126,132,138,166,169,183],"a":[8,17,50,76,91,99,104],"numerical":[9,24,41,58,134],"method":[10,42,172],"(the":[11],"widely-used":[12],"Euler-Maruyama":[13,171],"method)":[14],"and":[15,43,56,78,97,120,129,150,160,186,190],"establishes":[16],"foundational":[18],"theory":[19,102,146,179],"CPSs":[22,96],"methods":[25],"for":[26,107,147,163,173,193],"stochastic":[27,82],"differential":[28,84],"equations":[29,85],"(SDEs),":[30],"which":[31],"transforms":[32],"way":[34],"we":[35,116,142],"understand":[36],"relationship":[38,122],"between":[39,123],"underlying":[45],"SDE.":[46],"The":[47],"CPS":[48,114,145,153,168,178],"is":[49,157],"seamless":[51],"integration":[52],"SDE":[55,128],"method,":[59],"unlike":[60],"in":[61],"literature":[63],"where":[64],"they":[65],"are":[66],"treated":[67],"as":[68,90,103],"separate":[69],"systems":[70,149,184],"linked":[71],"by":[72],"inequalities.":[73],"We":[74],"formulate":[75],"new":[77],"general":[79],"class":[80,109],"impulsive":[83],"(SiDEs)":[86],"that":[87,156],"can":[88],"serve":[89],"canonic":[92],"form":[93],"establish":[98],"Lyapunov":[100,154],"stability":[101,125,131,165],"theoretic":[105],"foundation":[106],"our":[108,139],"SiDEs.":[111],"By":[112],"approach,":[115],"show":[117],"equivalence":[119],"intrinsic":[121],"method.":[135],"As":[136],"application":[137],"proposed":[140,177],"results,":[141],"develop":[143],"linear":[148,174],"present":[151],"inequality":[155],"necessary":[159],"sufficient":[161],"condition":[162],"mean-square":[164],"SDEs.":[175],"Our":[176],"initiates":[180],"study":[182],"numerics":[185],"provokes":[187],"many":[188],"open":[189],"interesting":[191],"problems":[192],"future":[194],"work.":[195]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2}],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2022-07-29T00:00:00"}