{"id":"https://openalex.org/W4405484227","doi":"https://doi.org/10.1080/00207721.2024.2441454","title":"Stabilisation in an infinite time horizon by homomorphically encrypted first-order controllers with regular Pisot poles","display_name":"Stabilisation in an infinite time horizon by homomorphically encrypted first-order controllers with regular Pisot poles","publication_year":2024,"publication_date":"2024-12-17","ids":{"openalex":"https://openalex.org/W4405484227","doi":"https://doi.org/10.1080/00207721.2024.2441454"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2024.2441454","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2024.2441454","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"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 Systems Science","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/A5003620596","display_name":"Mohammad Saleh Tavazoei","orcid":"https://orcid.org/0000-0002-5428-0816"},"institutions":[{"id":"https://openalex.org/I133529467","display_name":"Sharif University of Technology","ror":"https://ror.org/024c2fq17","country_code":"IR","type":"education","lineage":["https://openalex.org/I133529467"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mohammad Saleh Tavazoei","raw_affiliation_strings":["Sharif University of Technology","Electrical Engineering Department, Sharif University of Technology, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sharif University of Technology","institution_ids":["https://openalex.org/I133529467"]},{"raw_affiliation_string":"Electrical Engineering Department, Sharif University of Technology, Tehran, Iran","institution_ids":["https://openalex.org/I133529467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5003620596"],"corresponding_institution_ids":["https://openalex.org/I133529467"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.19947775,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"56","issue":"10","first_page":"2221","last_page":"2230"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9751999974250793,"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"}},"topics":[{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.9751999974250793,"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/T12158","display_name":"Guidance and Control Systems","score":0.9708999991416931,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9690999984741211,"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/order","display_name":"Order (exchange)","score":0.6303492188453674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6091906428337097},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.4912566542625427},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48355409502983093},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42302176356315613},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4210500717163086},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3486594557762146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26655077934265137},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2521054148674011},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0781639814376831}],"concepts":[{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.6303492188453674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6091906428337097},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.4912566542625427},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48355409502983093},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42302176356315613},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4210500717163086},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3486594557762146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26655077934265137},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2521054148674011},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0781639814376831},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207721.2024.2441454","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2024.2441454","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"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 Systems Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","score":0.7699999809265137,"id":"https://metadata.un.org/sdg/13"}],"awards":[{"id":"https://openalex.org/G8514767939","display_name":null,"funder_award_id":"4030015","funder_id":"https://openalex.org/F4320322243","funder_display_name":"Iran National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322243","display_name":"Iran National Science Foundation","ror":"https://ror.org/03sr1ma14"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1484852806","https://openalex.org/W2038907510","https://openalex.org/W2057646495","https://openalex.org/W2103413221","https://openalex.org/W2110795670","https://openalex.org/W2141960540","https://openalex.org/W2901771308","https://openalex.org/W2912044269","https://openalex.org/W2944676172","https://openalex.org/W3022305970","https://openalex.org/W3040353046","https://openalex.org/W3089779780","https://openalex.org/W3090503505","https://openalex.org/W3102210035","https://openalex.org/W3109789740","https://openalex.org/W3165039296","https://openalex.org/W3215358091","https://openalex.org/W4200584179","https://openalex.org/W4213144751","https://openalex.org/W4224045955","https://openalex.org/W4225468027","https://openalex.org/W4225682136","https://openalex.org/W4236161031","https://openalex.org/W4286377396","https://openalex.org/W4307462889","https://openalex.org/W4308822543","https://openalex.org/W4321195197","https://openalex.org/W4366722790","https://openalex.org/W4383112436","https://openalex.org/W4388922800","https://openalex.org/W4389383434","https://openalex.org/W4391361023","https://openalex.org/W4391791326","https://openalex.org/W4392878806","https://openalex.org/W4393261055","https://openalex.org/W4394698470","https://openalex.org/W4396513623","https://openalex.org/W4396909941","https://openalex.org/W4396941530","https://openalex.org/W4399527481"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2100090372","https://openalex.org/W4361205702","https://openalex.org/W2385965183","https://openalex.org/W4289281780","https://openalex.org/W2013342653","https://openalex.org/W2901818815","https://openalex.org/W4237598585","https://openalex.org/W2359552542","https://openalex.org/W2374897487"],"abstract_inverted_index":{"It":[0],"has":[1],"been":[2],"previously":[3],"found":[4],"that":[5],"partially":[6],"homomorphic":[7],"encryption":[8],"based":[9,53,96],"controllers":[10],"cannot":[11],"operate":[12],"in":[13,80,85,108],"an":[14,81],"infinite":[15,82],"time":[16,83],"horizon,":[17],"unless":[18],"all":[19],"elements":[20],"of":[21,34,41,49,70,91,103,123],"their":[22],"state":[23,51,54],"matrices":[24],"are":[25,94],"integer":[26,50],"numbers.":[27],"Considering":[28],"this":[29],"fact":[30],"and":[31],"the":[32,39,47,62,109,120,124,129],"results":[33],"a":[35],"recent":[36],"research":[37],"revealing":[38],"role":[40],"Pisot":[42,105],"numbers":[43,106],"to":[44,66,100,118],"act":[45],"as":[46],"poles":[48],"matrix":[52],"space":[55],"models":[56],"involving":[57],"no":[58],"unstable":[59],"pole-zero":[60],"cancellation,":[61],"present":[63],"paper":[64],"aims":[65],"introduce":[67],"some":[68],"classes":[69,90],"realisations":[71,93],"implementing":[72],"first-order":[73],"discrete-time":[74],"controllers,":[75],"which":[76],"can":[77],"be":[78],"used":[79],"horizon":[84],"encrypted":[86],"control":[87],"systems.":[88],"These":[89],"controller":[92,125],"obtained":[95],"on":[97],"sequences":[98],"approaching":[99],"limit":[101],"points":[102],"positive":[104],"settled":[107],"range":[110,122],"(1,2).":[111],"An":[112],"analytical":[113],"procedure":[114],"is":[115],"also":[116],"suggested":[117],"find":[119],"exact":[121],"gain":[126],"for":[127],"ensuring":[128],"closed-loop":[130],"stability.":[131]},"counts_by_year":[],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2025-10-10T00:00:00"}