{"id":"https://openalex.org/W3125820033","doi":"https://doi.org/10.1109/lcsys.2020.3038758","title":"Minimal Differential Difference Realizations of Delay Differential, Differential Difference, and Neutral Delay Systems","display_name":"Minimal Differential Difference Realizations of Delay Differential, Differential Difference, and Neutral Delay Systems","publication_year":2020,"publication_date":"2020-11-17","ids":{"openalex":"https://openalex.org/W3125820033","doi":"https://doi.org/10.1109/lcsys.2020.3038758","mag":"3125820033"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2020.3038758","doi":"https://doi.org/10.1109/lcsys.2020.3038758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.3038758","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-20","russia-white-list-2"],"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 Control Systems Letters","raw_type":"journal-article"},"volume":null,"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/A5077552862","display_name":"Matthew M. Peet","orcid":"https://orcid.org/0000-0001-9360-6738","observed_orcids":["https://orcid.org/0000-0001-9360-6738"]},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Matthew M. Peet","raw_affiliation_strings":["School for the Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA"],"raw_orcid":"https://orcid.org/0000-0001-9360-6738","affiliations":[{"raw_affiliation_string":"School for the Engineering of Matter, Transport and Energy, Arizona State University, Tempe, AZ, USA","institution_ids":["https://openalex.org/I55732556"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5077552862"],"corresponding_institution_ids":["https://openalex.org/I55732556"],"apc_list":{"value":2045,"currency":"USD","value_usd":2045},"apc_paid":null,"fwci":0.1237,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46775793,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"5","issue":"4","first_page":"1471","last_page":"1476"},"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":0.7621999979019165,"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":0.7621999979019165,"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/T11081","display_name":"Advanced Control Systems Design","score":0.11789999902248383,"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/T11416","display_name":"Numerical methods for differential equations","score":0.04659999907016754,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/delay-differential-equations","display_name":"delay differential equations","score":0.9330000281333923},{"id":"https://openalex.org/keywords/differential-difference-equations","display_name":"differential-difference equations","score":0.9950000047683716},{"id":"https://openalex.org/keywords/neutral-time-delay-systems","display_name":"neutral delay systems","score":0.9959999918937683},{"id":"https://openalex.org/keywords/minimal-realization","display_name":"minimal realization","score":0.6159999966621399},{"id":"https://openalex.org/keywords/model-reduction","display_name":"model reduction","score":0.44200000166893005}],"concepts":[{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7205710411071777},{"id":"https://openalex.org/C147504518","wikidata":"https://www.wikidata.org/wiki/Q2146125","display_name":"Delay differential equation","level":3,"score":0.6458313465118408},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.6170516610145569},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5394227504730225},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5203970670700073},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4590761363506317},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4144879877567291},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4039316773414612},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39759185910224915},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.31002795696258545},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07875826954841614},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06786718964576721},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06648564338684082},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcsys.2020.3038758","doi":"https://doi.org/10.1109/lcsys.2020.3038758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2020.3038758","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-b","jufo-1","norway-1","poland-20","russia-white-list-2"],"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 Control Systems Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2674963493","display_name":"A Convex Computational Framework for Understanding and Controlling Nonlinear Systems","funder_award_id":"1931270","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5429274380","display_name":"CPS: Small: A Convex Framework for Control of Interconnected Systems over Delayed Networks","funder_award_id":"1739990","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1506119886","https://openalex.org/W1533970237","https://openalex.org/W1607633954","https://openalex.org/W1965593229","https://openalex.org/W1988098342","https://openalex.org/W2013481824","https://openalex.org/W2047017331","https://openalex.org/W2060542320","https://openalex.org/W2109161029","https://openalex.org/W2113935828","https://openalex.org/W2127070712","https://openalex.org/W2133982240","https://openalex.org/W2155879010","https://openalex.org/W2771811401","https://openalex.org/W2977668969","https://openalex.org/W2979800164","https://openalex.org/W3011290821","https://openalex.org/W3103600460","https://openalex.org/W3134817037","https://openalex.org/W3145389731"],"related_works":["https://openalex.org/W2979800164","https://openalex.org/W4312438662","https://openalex.org/W2413067598","https://openalex.org/W3163034973","https://openalex.org/W976033409","https://openalex.org/W3141539936","https://openalex.org/W2131996870","https://openalex.org/W2772008729","https://openalex.org/W1968268641","https://openalex.org/W2026542503"],"abstract_inverted_index":{"Delay-Differential":[0],"Equations":[1,33],"(DDEs)":[2],"are":[3],"often":[4],"used":[5],"to":[6,45,70],"represent":[7,48],"control":[8,25],"of":[9,17,22,26,52,85,106,115,129,141],"and":[10,24,109,132],"over":[11],"large":[12,87],"networks.":[13],"However,":[14],"the":[15,20,49,64,113,116,135,139,142],"presence":[16],"delay":[18],"makes":[19],"problems":[21],"analysis":[23],"such":[27],"networks":[28],"challenging.":[29],"Recently,":[30],"Differential":[31],"Difference":[32],"(DDFs)":[34],"have":[35],"been":[36,120],"proposed":[37],"as":[38],"a":[39,56,86,125],"modelling":[40],"framework":[41],"which":[42],"allows":[43],"us":[44],"more":[46],"efficiently":[47],"low-dimensional":[50,77],"nature":[51],"delayed":[53,60,88,117],"channels":[54,118],"in":[55],"network":[57,89],"or":[58,90],"large-scale":[59],"system.":[61],"Unfortunately,":[62],"however,":[63],"standard":[65],"conversion":[66],"formulae":[67],"from":[68],"DDE":[69,108],"DDF":[71,83,104,110],"do":[72],"not":[73],"account":[74],"for":[75,102,144],"this":[76,96],"structure":[78],"-":[79],"hence":[80],"any":[81],"efficient":[82],"representation":[84],"system":[91],"must":[92],"be":[93],"hand-crafted.":[94],"In":[95],"letter,":[97],"we":[98,123],"propose":[99],"an":[100],"algorithm":[101,136],"constructing":[103],"realizations":[105],"both":[107],"systems":[111],"wherein":[112],"dimension":[114],"has":[119],"minimized.":[121],"Furthermore,":[122],"provide":[124],"convenient":[126],"PIETOOLS":[127],"implementation":[128],"these":[130],"algorithms":[131],"show":[133],"that":[134],"significantly":[137],"reduces":[138],"complexity":[140],"model":[143],"several":[145],"illustrative":[146],"examples,":[147],"including":[148],"Neutral":[149],"Delay":[150],"Systems":[151],"(NDSs).":[152]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2021-02-01T00:00:00"}