{"id":"https://openalex.org/W2043147961","doi":"https://doi.org/10.1080/00207160701345566","title":"System reduction using eigen spectrum analysis and Pad\u00e9 approximation technique","display_name":"System reduction using eigen spectrum analysis and Pad\u00e9 approximation technique","publication_year":2007,"publication_date":"2007-11-22","ids":{"openalex":"https://openalex.org/W2043147961","doi":"https://doi.org/10.1080/00207160701345566","mag":"2043147961"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701345566","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701345566","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5001476855","display_name":"Girish Parmar","orcid":"https://orcid.org/0000-0003-4943-3803"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]},{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"G. Parmar","raw_affiliation_strings":["Department of Electrical Engineering , Indian Institute of Technology , Roorkee-247 667, Uttarakhand, India","Department of Electrical Engineering, Indian Institute of Technology, Uttarakhand, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering , Indian Institute of Technology , Roorkee-247 667, Uttarakhand, India","institution_ids":["https://openalex.org/I154851008"]},{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Uttarakhand, India#TAB#","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113051582","display_name":"S. Mukherjee","orcid":"https://orcid.org/0000-0003-4906-2264"},"institutions":[{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]},{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"S. Mukherjee","raw_affiliation_strings":["Department of Electrical Engineering , Indian Institute of Technology , Roorkee-247 667, Uttarakhand, India","Department of Electrical Engineering, Indian Institute of Technology, Uttarakhand, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering , Indian Institute of Technology , Roorkee-247 667, Uttarakhand, India","institution_ids":["https://openalex.org/I154851008"]},{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Uttarakhand, India#TAB#","institution_ids":["https://openalex.org/I64295750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070868618","display_name":"Rajendra Prasad","orcid":"https://orcid.org/0000-0002-3340-2853"},"institutions":[{"id":"https://openalex.org/I64295750","display_name":"Indian Institute of Technology Indore","ror":"https://ror.org/01hhf7w52","country_code":"IN","type":"education","lineage":["https://openalex.org/I64295750"]},{"id":"https://openalex.org/I154851008","display_name":"Indian Institute of Technology Roorkee","ror":"https://ror.org/00582g326","country_code":"IN","type":"education","lineage":["https://openalex.org/I154851008"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"R. Prasad","raw_affiliation_strings":["Department of Electrical Engineering , Indian Institute of Technology , Roorkee-247 667, Uttarakhand, India","Department of Electrical Engineering, Indian Institute of Technology, Uttarakhand, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering , Indian Institute of Technology , Roorkee-247 667, Uttarakhand, India","institution_ids":["https://openalex.org/I154851008"]},{"raw_affiliation_string":"Department of Electrical Engineering, Indian Institute of Technology, Uttarakhand, India#TAB#","institution_ids":["https://openalex.org/I64295750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5001476855"],"corresponding_institution_ids":["https://openalex.org/I154851008","https://openalex.org/I64295750"],"apc_list":null,"apc_paid":null,"fwci":0.2667,"has_fulltext":false,"cited_by_count":54,"citation_normalized_percentile":{"value":0.57416235,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"84","issue":"12","first_page":"1871","last_page":"1880"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":1.0,"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":1.0,"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":0.998199999332428,"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/T11236","display_name":"Control Systems and Identification","score":0.9897000193595886,"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/mathematics","display_name":"Mathematics","score":0.8019556403160095},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.6133301854133606},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5887974500656128},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.566214382648468},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5486345291137695},{"id":"https://openalex.org/keywords/model-order-reduction","display_name":"Model order reduction","score":0.4917910397052765},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4733731150627136},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.413627028465271},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3224635124206543},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.30942481756210327},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1278654932975769},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0896562933921814}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8019556403160095},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.6133301854133606},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5887974500656128},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.566214382648468},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5486345291137695},{"id":"https://openalex.org/C2779277453","wikidata":"https://www.wikidata.org/wiki/Q12202921","display_name":"Model order reduction","level":3,"score":0.4917910397052765},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4733731150627136},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.413627028465271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3224635124206543},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.30942481756210327},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1278654932975769},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0896562933921814},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160701345566","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701345566","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W641619793","https://openalex.org/W1508885083","https://openalex.org/W1543116478","https://openalex.org/W1973617148","https://openalex.org/W1975663815","https://openalex.org/W1978711042","https://openalex.org/W1986650978","https://openalex.org/W1987560275","https://openalex.org/W1991395500","https://openalex.org/W2007101284","https://openalex.org/W2009768742","https://openalex.org/W2025682838","https://openalex.org/W2035371774","https://openalex.org/W2036606313","https://openalex.org/W2064733273","https://openalex.org/W2069726229","https://openalex.org/W2091548806","https://openalex.org/W2092907590","https://openalex.org/W2093599261","https://openalex.org/W2101376420","https://openalex.org/W2135933026","https://openalex.org/W2144143473"],"related_works":["https://openalex.org/W2765250005","https://openalex.org/W2952745759","https://openalex.org/W2069948527","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"],"abstract_inverted_index":{"A":[0],"mixed":[1],"method":[2,53,68],"is":[3,34,65,69],"proposed":[4],"for":[5],"deriving":[6],"reduced-order":[7,32],"models":[8],"of":[9,19,30,42,56],"high-order":[10,63],"linear":[11],"time":[12],"invariant":[13],"systems":[14],"using":[15,47],"the":[16,24,31,40,43,48,57,61],"combined":[17],"advantages":[18],"eigen":[20,37],"spectrum":[21,38],"analysis":[22],"and":[23],"Pad\u00e9":[25,49],"approximation":[26,50],"technique.":[27,51],"The":[28,67],"denominator":[29],"model":[33,59],"found":[35],"by":[36,71],"analysis,":[39],"dynamics":[41],"numerator":[44],"are":[45],"chosen":[46],"This":[52],"guarantees":[54],"stability":[55],"reduced":[58],"if":[60],"original":[62],"system":[64],"stable.":[66],"illustrated":[70],"three":[72],"numerical":[73],"examples.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-09T08:58:05.943551","created_date":"2025-10-10T00:00:00"}