{"id":"https://openalex.org/W2313524493","doi":"https://doi.org/10.1109/codit.2014.6996924","title":"On the modeling of discrete time Auto-Regressive representations","display_name":"On the modeling of discrete time Auto-Regressive representations","publication_year":2014,"publication_date":"2014-11-01","ids":{"openalex":"https://openalex.org/W2313524493","doi":"https://doi.org/10.1109/codit.2014.6996924","mag":"2313524493"},"language":"en","primary_location":{"id":"doi:10.1109/codit.2014.6996924","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit.2014.6996924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 International Conference on Control, Decision and Information Technologies (CoDIT)","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/A5055872900","display_name":"Lazaros Moysis","orcid":"https://orcid.org/0000-0002-5652-2532"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Lazaros Moysis","raw_affiliation_strings":["School of Mathematics Aristotle, University of Thessaloniki, Thessaloniki, Greece"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Aristotle, University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066594965","display_name":"Nicholas P. Karampetakis","orcid":"https://orcid.org/0000-0002-4578-5521"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nicholas P. Karampetakis","raw_affiliation_strings":["School of Mathematics Aristotle, University of Thessaloniki, Thessaloniki, Greece"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Aristotle, University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055872900"],"corresponding_institution_ids":["https://openalex.org/I21370196"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22670479,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"34","issue":null,"first_page":"381","last_page":"386"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9980999827384949,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9980999827384949,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.996399998664856,"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"}},{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9864000082015991,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.5730891227722168},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5664767026901245},{"id":"https://openalex.org/keywords/autoregressive-model","display_name":"Autoregressive model","score":0.565952718257904},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.538188099861145},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5322074294090271},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.5211053490638733},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5129403471946716},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5037216544151306},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.48158955574035645},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.47337764501571655},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.45245158672332764},{"id":"https://openalex.org/keywords/divisor","display_name":"Divisor (algebraic geometry)","score":0.4348657727241516},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3735678195953369},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.27985328435897827},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.27149665355682373},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1919684112071991},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.08643603324890137}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.5730891227722168},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5664767026901245},{"id":"https://openalex.org/C159877910","wikidata":"https://www.wikidata.org/wiki/Q2202883","display_name":"Autoregressive model","level":2,"score":0.565952718257904},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.538188099861145},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5322074294090271},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.5211053490638733},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5129403471946716},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5037216544151306},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.48158955574035645},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.47337764501571655},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.45245158672332764},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.4348657727241516},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3735678195953369},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.27985328435897827},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27149665355682373},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1919684112071991},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.08643603324890137},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/codit.2014.6996924","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit.2014.6996924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 International Conference on Control, Decision and Information Technologies (CoDIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W62529199","https://openalex.org/W1594851591","https://openalex.org/W1607532558","https://openalex.org/W2103409198","https://openalex.org/W2140557463","https://openalex.org/W2157508176","https://openalex.org/W2406334773","https://openalex.org/W4254900683","https://openalex.org/W4255769619","https://openalex.org/W6636261327"],"related_works":["https://openalex.org/W3030122561","https://openalex.org/W2171218219","https://openalex.org/W1972271943","https://openalex.org/W2150410159","https://openalex.org/W1521160908","https://openalex.org/W3150905897","https://openalex.org/W4327525404","https://openalex.org/W4287185323","https://openalex.org/W1520183331","https://openalex.org/W2734842993"],"abstract_inverted_index":{"It":[0],"is":[1,54],"well":[2],"known":[3],"[2],":[4],"[6],":[5],"that":[6,73],"given":[7,60],"the":[8,18,31,39,57,74,81,88],"discrete-time":[9],"AutoRegressive":[10],"representation":[11],"A(\u03c3)\u03b2(k)":[12,76],"=":[13,77],"0;":[14],"where":[15],"\u03c3":[16],"denotes":[17],"shift":[19],"forward":[20],"operator":[21],"and":[22,41],"A(\u03c3)":[23],"a":[24,61,66,95],"polynomial":[25,69],"matrix,":[26],"we":[27,85],"can":[28,90],"always":[29],"construct":[30],"forward-backward":[32,63],"behavior":[33],"of":[34,46,51,68],"this":[35,52],"system,":[36],"by":[37],"using":[38],"finite":[40],"infinite":[42],"elementary":[43],"divisor":[44],"structure":[45],"A(\u03c3).":[47],"The":[48],"main":[49],"theme":[50],"work":[53],"to":[55,94,101],"study":[56],"inverse":[58],"problem:":[59],"specific":[62],"behavior,":[64],"find":[65],"family":[67],"matrices":[70],"A(\u03c3),":[71],"such":[72],"system":[75,97],"0":[78],"has":[79],"exactly":[80],"prescribed":[82],"behavior.":[83],"As":[84],"shall":[86],"see,":[87],"problem":[89,99],"be":[91],"reduced":[92],"either":[93],"linear":[96],"equation":[98],"or":[100],"an":[102],"interpolation":[103],"problem.":[104]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
