{"id":"https://openalex.org/W2912044269","doi":"https://doi.org/10.1109/cdc.2018.8619600","title":"Need for Controllers Having Integer Coefficients in Homomorphically Encrypted Dynamic System","display_name":"Need for Controllers Having Integer Coefficients in Homomorphically Encrypted Dynamic System","publication_year":2018,"publication_date":"2018-12-01","ids":{"openalex":"https://openalex.org/W2912044269","doi":"https://doi.org/10.1109/cdc.2018.8619600","mag":"2912044269"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2018.8619600","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619600","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-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/A5044011121","display_name":"Jung Hee Cheon","orcid":"https://orcid.org/0000-0002-7085-2220"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jung Hee Cheon","raw_affiliation_strings":["Department of Electrical and Computer Engineering and Department of Mathematical Sciences, Seoul National University, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and Department of Mathematical Sciences, Seoul National University, Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103193729","display_name":"Kyoohyung Han","orcid":"https://orcid.org/0000-0002-8410-3386"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Kyoohyung Han","raw_affiliation_strings":["Department of Electrical and Computer Engineering and Department of Mathematical Sciences, Seoul National University, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and Department of Mathematical Sciences, Seoul National University, Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100737777","display_name":"Hyuntae Kim","orcid":"https://orcid.org/0000-0002-2315-9415"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyuntae Kim","raw_affiliation_strings":["Department of Electrical and Computer Engineering and Department of Mathematical Sciences, Seoul National University, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and Department of Mathematical Sciences, Seoul National University, Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100636168","display_name":"Junsoo Kim","orcid":"https://orcid.org/0000-0002-4450-8741"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Junsoo Kim","raw_affiliation_strings":["Department of Electrical and Computer Engineering and Department of Mathematical Sciences, Seoul National University, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and Department of Mathematical Sciences, Seoul National University, Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055470439","display_name":"Hyungbo Shim","orcid":"https://orcid.org/0000-0002-5972-8114"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyungbo Shim","raw_affiliation_strings":["Department of Electrical and Computer Engineering and Department of Mathematical Sciences, Seoul National University, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and Department of Mathematical Sciences, Seoul National University, Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.2453,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.96141169,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"5020","last_page":"5025"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10917","display_name":"Smart Grid Security and Resilience","score":0.9983000159263611,"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":0.9983000159263611,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.7947887182235718},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.7226437926292419},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6289637088775635},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5769309997558594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5626646876335144},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5238209366798401},{"id":"https://openalex.org/keywords/pid-controller","display_name":"PID controller","score":0.4460943043231964},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4233858585357666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36133289337158203},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.20226290822029114},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.15102365612983704},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10996547341346741},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0879264771938324}],"concepts":[{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.7947887182235718},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.7226437926292419},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6289637088775635},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5769309997558594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5626646876335144},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5238209366798401},{"id":"https://openalex.org/C47116090","wikidata":"https://www.wikidata.org/wiki/Q716829","display_name":"PID controller","level":3,"score":0.4460943043231964},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4233858585357666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36133289337158203},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.20226290822029114},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.15102365612983704},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10996547341346741},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0879264771938324},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C536315585","wikidata":"https://www.wikidata.org/wiki/Q7698332","display_name":"Temperature control","level":2,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2018.8619600","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2018.8619600","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1972523481","https://openalex.org/W2003530067","https://openalex.org/W2010973666","https://openalex.org/W2062132646","https://openalex.org/W2069038223","https://openalex.org/W2108834246","https://openalex.org/W2132172731","https://openalex.org/W2153775930","https://openalex.org/W2155589794","https://openalex.org/W2290211681","https://openalex.org/W2567189941","https://openalex.org/W2568239832","https://openalex.org/W2739578598","https://openalex.org/W2768174108","https://openalex.org/W2774167780","https://openalex.org/W2794974431","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2539930818","https://openalex.org/W2002388147","https://openalex.org/W3098928304","https://openalex.org/W4403623784","https://openalex.org/W2394883510","https://openalex.org/W4393118461","https://openalex.org/W2150958483","https://openalex.org/W4390664647","https://openalex.org/W3012147850","https://openalex.org/W2165013373"],"abstract_inverted_index":{"Encryption":[0],"of":[1,20,54,57,79,115,129],"feedback":[2],"controller":[3,36,59,69,106,116],"based":[4,37],"on":[5,12,38],"homomorphic":[6,40,101],"encryption":[7,102],"techniques":[8,98],"allows":[9],"control":[10,22],"operation":[11],"encrypted":[13,34,58,67],"sensor":[14],"measurements,":[15],"to":[16,51,120,142,149],"protect":[17],"data":[18],"secrecy":[19],"networked":[21],"systems.":[23],"In":[24,90,122],"this":[25,91,123],"paper,":[26],"we":[27,125,137],"first":[28],"revisit":[29],"the":[30,52,55,77,105,113],"fact":[31],"that":[32,65],"an":[33,66],"dynamic":[35],"partially":[39],"cryptosystems":[41],"cannot":[42],"operate":[43,71],"for":[44,72,103],"infinite":[45,73],"time":[46,74,119],"horizon":[47,75],"in":[48],"general":[49],"due":[50],"problem":[53],"size":[56],"state.":[60],"Then,":[61,136],"it":[62,93,109],"is":[63,83],"highlighted":[64],"LTI":[68],"can":[70],"when":[76],"denominator":[78],"its":[80],"transfer":[81],"function":[82],"a":[84,139],"monic":[85],"polynomial":[86],"with":[87],"integer":[88,151],"coefficients.":[89],"case,":[92],"does":[94,110],"not":[95,111],"utilize":[96],"bootstrapping":[97],"from":[99,118],"fully":[100],"resizing":[104],"state,":[107],"and":[108,133],"assume":[112],"decryption":[114],"state":[117],"time.":[121],"respect,":[124],"discuss":[126],"potential":[127],"benefits":[128],"using":[130],"PID":[131],"controllers":[132,145],"FIR":[134],"filters.":[135],"introduce":[138],"way":[140],"how":[141],"approximately":[143],"convert":[144],"having":[146],"non-integer":[147],"coefficients":[148,152],"have":[150],"without":[153],"losing":[154],"stability.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":6}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
