{"id":"https://openalex.org/W3177444813","doi":"https://doi.org/10.1109/tcsii.2021.3092557","title":"Stability Preserving Model Reduction Technique for 1-D and 2-D Systems With Error Bounds","display_name":"Stability Preserving Model Reduction Technique for 1-D and 2-D Systems With Error Bounds","publication_year":2021,"publication_date":"2021-06-28","ids":{"openalex":"https://openalex.org/W3177444813","doi":"https://doi.org/10.1109/tcsii.2021.3092557","mag":"3177444813"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2021.3092557","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3092557","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","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/A5103112487","display_name":"Muhammad Imran","orcid":"https://orcid.org/0000-0002-7122-8454"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Imran","raw_affiliation_strings":["Department of Electrical Engineering, Military College of Signals, National University of Science and Technology, Islamabad, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-7122-8454","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Military College of Signals, National University of Science and Technology, Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064268028","display_name":"Abdul Ghafoor","orcid":"https://orcid.org/0000-0002-6117-3656"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Abdul Ghafoor","raw_affiliation_strings":["Department of Electrical Engineering, Military College of Signals, National University of Science and Technology, Islamabad, Pakistan"],"raw_orcid":"https://orcid.org/0000-0002-6117-3656","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Military College of Signals, National University of Science and Technology, Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080309684","display_name":"Muhammad Imran","orcid":"https://orcid.org/0000-0003-1001-9648"},"institutions":[{"id":"https://openalex.org/I929597975","display_name":"National University of Sciences and Technology","ror":"https://ror.org/03w2j5y17","country_code":"PK","type":"education","lineage":["https://openalex.org/I929597975"]}],"countries":["PK"],"is_corresponding":false,"raw_author_name":"Muhammad Imran","raw_affiliation_strings":["Department of Electrical Engineering, Military College of Signals, National University of Science and Technology, Islamabad, Pakistan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Military College of Signals, National University of Science and Technology, Islamabad, Pakistan","institution_ids":["https://openalex.org/I929597975"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.8376,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.85716338,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"69","issue":"3","first_page":"1084","last_page":"1088"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9998999834060669,"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":0.9998999834060669,"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/T11236","display_name":"Control Systems and Identification","score":0.9977999925613403,"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/T12810","display_name":"Real-time simulation and control systems","score":0.9973999857902527,"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/reduction","display_name":"Reduction (mathematics)","score":0.6934465765953064},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6829606294631958},{"id":"https://openalex.org/keywords/a-priori-and-a-posteriori","display_name":"A priori and a posteriori","score":0.6497834920883179},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.5710668563842773},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5625051259994507},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5533424019813538},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49678924679756165},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48020753264427185},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38499072194099426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37666523456573486},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13137853145599365},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07870057225227356},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.06599307060241699}],"concepts":[{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6934465765953064},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6829606294631958},{"id":"https://openalex.org/C75553542","wikidata":"https://www.wikidata.org/wiki/Q178161","display_name":"A priori and a posteriori","level":2,"score":0.6497834920883179},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.5710668563842773},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5625051259994507},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5533424019813538},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49678924679756165},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48020753264427185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38499072194099426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37666523456573486},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13137853145599365},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07870057225227356},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.06599307060241699},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2021.3092557","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3092557","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"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 Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1985275567","https://openalex.org/W2001402263","https://openalex.org/W2064733273","https://openalex.org/W2067070250","https://openalex.org/W2067656315","https://openalex.org/W2095784889","https://openalex.org/W2157192413","https://openalex.org/W2168097480","https://openalex.org/W2171155190","https://openalex.org/W2478884216","https://openalex.org/W2613038034","https://openalex.org/W2921630255","https://openalex.org/W3047907375","https://openalex.org/W3092667177","https://openalex.org/W3113841123","https://openalex.org/W3119252236","https://openalex.org/W3120095761","https://openalex.org/W3121949486","https://openalex.org/W3203614878"],"related_works":["https://openalex.org/W2765250005","https://openalex.org/W2118904547","https://openalex.org/W2110312969","https://openalex.org/W2182451763","https://openalex.org/W1991018216","https://openalex.org/W2015479478","https://openalex.org/W3127703504","https://openalex.org/W1964286429","https://openalex.org/W2613743288","https://openalex.org/W2165844891"],"abstract_inverted_index":{"2-D":[0,34,65,89],"state-space":[1],"models":[2,39],"are":[3,40,93],"hard":[4],"to":[5,9,61],"deal":[6],"with":[7,96],"due":[8],"the":[10,30,33,47,68,72,86,101,106],"complex":[11],"structure;":[12],"furthermore,":[13],"simulation,":[14],"analysis,":[15],"design,":[16],"and":[17,64,76,88,100],"control":[18],"will":[19],"become":[20],"more":[21],"complicated":[22],"when":[23],"its":[24],"order":[25],"increases.":[26],"In":[27],"this":[28],"brief,":[29],"decomposition":[31],"of":[32],"model":[35,48],"into":[36],"two":[37,54],"1-D":[38,55,63,87],"obtained":[41],"by":[42],"minimal":[43],"rank-decomposition":[44],"condition":[45],"then":[46],"reduction":[49],"is":[50],"performed":[51],"on":[52],"these":[53],"models.":[56],"The":[57],"proposed":[58,69,102,107],"technique":[59,70],"applies":[60],"both":[62],"systems.":[66,90],"Furthermore,":[67],"provides":[71],"reduced-order":[73],"model\u2019s":[74],"stability,":[75],"an":[77],"<italic":[78],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[79],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">a":[80],"priori</i>":[81],"error":[82],"bound":[83],"expression":[84],"for":[85],"Numerical":[91],"examples":[92],"presented":[94],"along":[95],"comparisons":[97],"among":[98],"existing":[99],"techniques":[103],"that":[104],"illustrate":[105],"technique\u2019s":[108],"efficacy.":[109]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}