{"id":"https://openalex.org/W4387454209","doi":"https://doi.org/10.3390/computation11100201","title":"An Improved Approach for Implementing Dynamic Mode Decomposition with Control","display_name":"An Improved Approach for Implementing Dynamic Mode Decomposition with Control","publication_year":2023,"publication_date":"2023-10-08","ids":{"openalex":"https://openalex.org/W4387454209","doi":"https://doi.org/10.3390/computation11100201"},"language":"en","primary_location":{"id":"doi:10.3390/computation11100201","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11100201","pdf_url":"https://www.mdpi.com/2079-3197/11/10/201/pdf?version=1696813192","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/11/10/201/pdf?version=1696813192","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5052775975","display_name":"Gyurhan H. Nedzhibov","orcid":"https://orcid.org/0000-0002-0474-1987"},"institutions":[{"id":"https://openalex.org/I39995536","display_name":"Shumen University","ror":"https://ror.org/03yht3k11","country_code":"BG","type":"education","lineage":["https://openalex.org/I39995536"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Gyurhan Nedzhibov","raw_affiliation_strings":["Faculty of Mathematics and Informatics, Shumen University, 9700 Shumen, Bulgaria","Faculty of Mathematics and Informatics, Shumen University, 9700 Shumen, Bulgaria;"],"raw_orcid":"https://orcid.org/0000-0002-0474-1987","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, Shumen University, 9700 Shumen, Bulgaria","institution_ids":["https://openalex.org/I39995536"]},{"raw_affiliation_string":"Faculty of Mathematics and Informatics, Shumen University, 9700 Shumen, Bulgaria;","institution_ids":["https://openalex.org/I39995536"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5052775975"],"corresponding_institution_ids":["https://openalex.org/I39995536"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":1.2904,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.78876953,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"11","issue":"10","first_page":"201","last_page":"201"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.998199999332428,"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":0.998199999332428,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/dynamic-mode-decomposition","display_name":"Dynamic mode decomposition","score":0.6963012218475342},{"id":"https://openalex.org/keywords/singular-value-decomposition","display_name":"Singular value decomposition","score":0.6565943956375122},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6168566942214966},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.6101626753807068},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.5513857007026672},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.550270140171051},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5451090931892395},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5278653502464294},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5149234533309937},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.48180192708969116},{"id":"https://openalex.org/keywords/matrix-decomposition","display_name":"Matrix decomposition","score":0.4441840350627899},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43056559562683105},{"id":"https://openalex.org/keywords/system-dynamics","display_name":"System dynamics","score":0.42421793937683105},{"id":"https://openalex.org/keywords/lorenz-system","display_name":"Lorenz system","score":0.423043429851532},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.399975061416626},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2914915382862091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2834465801715851},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11510884761810303},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.0717669427394867}],"concepts":[{"id":"https://openalex.org/C2777032711","wikidata":"https://www.wikidata.org/wiki/Q5318993","display_name":"Dynamic mode decomposition","level":2,"score":0.6963012218475342},{"id":"https://openalex.org/C22789450","wikidata":"https://www.wikidata.org/wiki/Q420904","display_name":"Singular value decomposition","level":2,"score":0.6565943956375122},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6168566942214966},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.6101626753807068},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5513857007026672},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.550270140171051},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5451090931892395},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5278653502464294},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5149234533309937},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.48180192708969116},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.4441840350627899},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43056559562683105},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.42421793937683105},{"id":"https://openalex.org/C151510863","wikidata":"https://www.wikidata.org/wiki/Q899844","display_name":"Lorenz system","level":3,"score":0.423043429851532},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.399975061416626},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2914915382862091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2834465801715851},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11510884761810303},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0717669427394867},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation11100201","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11100201","pdf_url":"https://www.mdpi.com/2079-3197/11/10/201/pdf?version=1696813192","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:5f153fa0584f4e3da6a3eff6d5ed23a1","is_oa":true,"landing_page_url":"https://doaj.org/article/5f153fa0584f4e3da6a3eff6d5ed23a1","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 11, Iss 10, p 201 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation11100201","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11100201","pdf_url":"https://www.mdpi.com/2079-3197/11/10/201/pdf?version=1696813192","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4300000071525574,"id":"https://metadata.un.org/sdg/15","display_name":"Life in Land"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4387454209.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1635210704","https://openalex.org/W1723433682","https://openalex.org/W1860903952","https://openalex.org/W1981193003","https://openalex.org/W1990654647","https://openalex.org/W2014356541","https://openalex.org/W2023043517","https://openalex.org/W2028051765","https://openalex.org/W2078898317","https://openalex.org/W2090098022","https://openalex.org/W2126999002","https://openalex.org/W2164954534","https://openalex.org/W2168090960","https://openalex.org/W2170054433","https://openalex.org/W2262290521","https://openalex.org/W2433930442","https://openalex.org/W2551318894","https://openalex.org/W2772210105","https://openalex.org/W2962749092","https://openalex.org/W2964119648","https://openalex.org/W3004912322","https://openalex.org/W3042745704","https://openalex.org/W3099803807","https://openalex.org/W3203014670","https://openalex.org/W3213349104","https://openalex.org/W4238160257","https://openalex.org/W4285155613","https://openalex.org/W4312735498","https://openalex.org/W4313593479","https://openalex.org/W4365140261","https://openalex.org/W6658054074"],"related_works":["https://openalex.org/W2782904003","https://openalex.org/W2118633810","https://openalex.org/W2150953077","https://openalex.org/W4226434912","https://openalex.org/W2002598339","https://openalex.org/W1995410415","https://openalex.org/W2133814741","https://openalex.org/W3108343813","https://openalex.org/W4312481107","https://openalex.org/W2482295163"],"abstract_inverted_index":{"Dynamic":[0],"Mode":[1],"Decomposition":[2],"with":[3],"Control":[4],"is":[5,105],"a":[6,28,51,73,96],"powerful":[7],"technique":[8,34],"for":[9],"analyzing":[10],"and":[11,55,125,137],"modeling":[12,110],"complex":[13],"dynamical":[14,141],"systems":[15,113],"under":[16],"the":[17,40,66,77,81,86,89,122],"influence":[18],"of":[19,50,68,88,99,111,118,128],"external":[20],"control":[21,117],"inputs.":[22],"In":[23],"this":[24,33],"paper,":[25],"we":[26,92],"propose":[27],"novel":[29],"approach":[30],"to":[31,95],"implement":[32],"that":[35],"offers":[36],"computational":[37],"advantages":[38],"over":[39],"existing":[41],"method.":[42],"The":[43,102],"proposed":[44,90],"scheme":[45],"uses":[46],"singular":[47],"value":[48],"decomposition":[49],"lower":[52],"order":[53],"matrix":[54,58,67,79],"requires":[56],"fewer":[57],"multiplications":[59],"when":[60],"determining":[61],"corresponding":[62,78],"approximation":[63],"matrices.":[64],"Moreover,":[65],"dynamic":[69],"modes":[70],"also":[71],"has":[72],"simpler":[74],"structure":[75],"than":[76],"in":[80,107,121],"standard":[82],"approach.":[83],"To":[84],"demonstrate":[85],"efficacy":[87,138],"implementation,":[91],"applied":[93],"it":[94],"diverse":[97],"set":[98],"numerical":[100],"examples.":[101],"algorithm\u2019s":[103],"flexibility":[104],"demonstrated":[106],"tests:":[108],"accurate":[109],"ecological":[112],"like":[114],"Lotka-Volterra,":[115],"successful":[116],"chaotic":[119],"behavior":[120],"Lorenz":[123],"system":[124],"efficient":[126],"handling":[127],"large-scale":[129],"stable":[130],"linear":[131],"systems.":[132,142],"This":[133],"showcased":[134],"its":[135],"versatility":[136],"across":[139],"different":[140]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3}],"updated_date":"2026-01-25T23:04:38.658462","created_date":"2025-10-10T00:00:00"}