{"id":"https://openalex.org/W2560237233","doi":"https://doi.org/10.1109/tac.2016.2638039","title":"Coprime Factors Model Reduction of Spatially Distributed LTV Systems Over Arbitrary Graphs","display_name":"Coprime Factors Model Reduction of Spatially Distributed LTV Systems Over Arbitrary Graphs","publication_year":2016,"publication_date":"2016-12-09","ids":{"openalex":"https://openalex.org/W2560237233","doi":"https://doi.org/10.1109/tac.2016.2638039","mag":"2560237233"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2016.2638039","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2638039","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5038763633","display_name":"Dany Abou Jaoude","orcid":"https://orcid.org/0000-0001-8046-0899"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dany Abou Jaoude","raw_affiliation_strings":["Department of Aerospace and Ocean Engineering, Virginia Tech, Blacksburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace and Ocean Engineering, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000935719","display_name":"Mazen Farhood","orcid":"https://orcid.org/0000-0001-9855-7250"},"institutions":[{"id":"https://openalex.org/I859038795","display_name":"Virginia Tech","ror":"https://ror.org/02smfhw86","country_code":"US","type":"education","lineage":["https://openalex.org/I859038795"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mazen Farhood","raw_affiliation_strings":["Department of Aerospace and Ocean Engineering, Virginia Tech, Blacksburg, VA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace and Ocean Engineering, Virginia Tech, Blacksburg, VA, USA","institution_ids":["https://openalex.org/I859038795"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5038763633"],"corresponding_institution_ids":["https://openalex.org/I859038795"],"apc_list":null,"apc_paid":null,"fwci":0.8839,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76588599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"62","issue":"10","first_page":"5254","last_page":"5261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10409","display_name":"Fuel Cells and Related Materials","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9940999746322632,"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/coprime-integers","display_name":"Coprime integers","score":0.8041905164718628},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.7404124736785889},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6950646042823792},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5652567744255066},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.5113182067871094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48674583435058594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4545636773109436},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44959747791290283},{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.4486444592475891},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4301936626434326},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4191315174102783},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30927425622940063},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26732414960861206},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12468495965003967},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10464680194854736}],"concepts":[{"id":"https://openalex.org/C23230895","wikidata":"https://www.wikidata.org/wiki/Q104752","display_name":"Coprime integers","level":2,"score":0.8041905164718628},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.7404124736785889},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6950646042823792},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5652567744255066},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.5113182067871094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48674583435058594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4545636773109436},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44959747791290283},{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.4486444592475891},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4301936626434326},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4191315174102783},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30927425622940063},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26732414960861206},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12468495965003967},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10464680194854736},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2016.2638039","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2016.2638039","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6527753282","display_name":null,"funder_award_id":"CMMI-1333785","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"},{"id":"https://openalex.org/F4320337391","display_name":"Division of Civil, Mechanical and Manufacturing Innovation","ror":"https://ror.org/028yd4c30"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1491049661","https://openalex.org/W1506391134","https://openalex.org/W1567890482","https://openalex.org/W1964730816","https://openalex.org/W1964987261","https://openalex.org/W1999913571","https://openalex.org/W2015765360","https://openalex.org/W2029162591","https://openalex.org/W2039401467","https://openalex.org/W2047564874","https://openalex.org/W2065313971","https://openalex.org/W2080484947","https://openalex.org/W2083557522","https://openalex.org/W2124085799","https://openalex.org/W2128834174","https://openalex.org/W2148221597","https://openalex.org/W2166778103","https://openalex.org/W2287402837","https://openalex.org/W2291037702","https://openalex.org/W2296319761","https://openalex.org/W2477161890","https://openalex.org/W2536620281","https://openalex.org/W2964036100","https://openalex.org/W3195133498","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2150702847","https://openalex.org/W2792528285","https://openalex.org/W4285175356","https://openalex.org/W2138825531","https://openalex.org/W3169646833","https://openalex.org/W2188327980","https://openalex.org/W1985427687","https://openalex.org/W2166137756","https://openalex.org/W1973739845","https://openalex.org/W119752240"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"is":[3],"on":[4],"the":[5,49,52,55,61,71],"model":[6],"reduction":[7],"of":[8,48,54],"distributed":[9,67],"systems":[10],"formed":[11],"by":[12],"discrete-time,":[13],"linear":[14],"time-varying,":[15],"heterogeneous":[16],"subsystems":[17],"interconnected":[18],"over":[19],"arbitrary":[20],"directed":[21],"graphs":[22],"and":[23,43],"subjected":[24],"to":[25,32],"communication":[26],"latency.":[27],"We":[28,69],"give":[29],"two":[30],"procedures":[31,50],"construct":[33],"a":[34,40],"strongly":[35,41,44],"stable":[36],"coprime":[37],"factorization":[38],"for":[39,66],"stabilizable":[42],"detectable":[45],"system.":[46],"One":[47],"ensures":[51],"contractiveness":[53],"resulting":[56],"factorization.":[57],"Then,":[58],"we":[59],"apply":[60],"structure-preserving":[62],"balanced":[63],"truncation":[64],"method":[65],"systems.":[68],"illustrate":[70],"proposed":[72],"methods":[73],"through":[74],"an":[75],"example.":[76]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}