{"id":"https://openalex.org/W1550871692","doi":"https://doi.org/10.1109/cdc.2003.1272795","title":"Exact computation of frequency responses for a class of infinite dimensional systems","display_name":"Exact computation of frequency responses for a class of infinite dimensional systems","publication_year":2004,"publication_date":"2004-07-08","ids":{"openalex":"https://openalex.org/W1550871692","doi":"https://doi.org/10.1109/cdc.2003.1272795","mag":"1550871692"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2003.1272795","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272795","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-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/A5087790067","display_name":"Mihailo R. Jovanovi\u0107","orcid":"https://orcid.org/0000-0002-4181-2924"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M.R. Jovanovic","raw_affiliation_strings":["Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA, USA","Dept. of Mech. & Environ. Eng., California Univ., Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Dept. of Mech. & Environ. Eng., California Univ., Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071239059","display_name":"Bassam Bamieh","orcid":"https://orcid.org/0000-0001-9237-4613"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. Bamieh","raw_affiliation_strings":["Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA, USA","Dept. of Mech. & Environ. Eng., California Univ., Santa Barbara, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Dept. of Mech. & Environ. Eng., California Univ., Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087790067"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":null,"apc_paid":null,"fwci":0.8692,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78521236,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1339","last_page":"1344"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9997000098228455,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9997000098228455,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9947999715805054,"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/computation","display_name":"Computation","score":0.6700171232223511},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5948611497879028},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5614534020423889},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5482991337776184},{"id":"https://openalex.org/keywords/multidimensional-systems","display_name":"Multidimensional systems","score":0.5346763134002686},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5279613733291626},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4825560450553894},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4793727695941925},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.47760340571403503},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.43015438318252563},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4232240617275238},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.4195970892906189},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25032711029052734},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2374851107597351},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2107521891593933},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07370790839195251}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6700171232223511},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5948611497879028},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5614534020423889},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5482991337776184},{"id":"https://openalex.org/C158457486","wikidata":"https://www.wikidata.org/wiki/Q17104301","display_name":"Multidimensional systems","level":2,"score":0.5346763134002686},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5279613733291626},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4825560450553894},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4793727695941925},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.47760340571403503},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.43015438318252563},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4232240617275238},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.4195970892906189},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25032711029052734},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2374851107597351},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2107521891593933},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07370790839195251},{"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/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2003.1272795","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2003.1272795","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"42nd IEEE International Conference on Decision and Control (IEEE Cat. No.03CH37475)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W2031685172","https://openalex.org/W2111235028","https://openalex.org/W2136598296","https://openalex.org/W2137712154","https://openalex.org/W2167934347","https://openalex.org/W4206029394"],"related_works":["https://openalex.org/W3086618278","https://openalex.org/W3018365851","https://openalex.org/W2006100586","https://openalex.org/W4300809132","https://openalex.org/W3207484021","https://openalex.org/W2103373899","https://openalex.org/W2367223136","https://openalex.org/W3111373190","https://openalex.org/W2232781361","https://openalex.org/W1973833593"],"abstract_inverted_index":{"We":[0,38,110],"develop":[1],"a":[2,13,29,35,59,104],"method":[3],"for":[4,12,44],"the":[5,9,23,45,52,85,88,117],"exact":[6,96],"computation":[7],"of":[8,15,87,98],"frequency":[10,46],"responses":[11,47],"class":[14],"infinite":[16,100],"dimensional":[17,72,101,106],"systems.":[18],"In":[19,92],"particular,":[20],"we":[21],"consider":[22],"distributed":[24],"parameter":[25],"systems":[26],"in":[27],"which":[28],"spatial":[30],"independent":[31],"variable":[32],"belongs":[33],"to":[34,103,115],"finite":[36,71,105],"interval.":[37],"show":[39],"that":[40],"an":[41,95,99],"explicit":[42],"formula":[43,69],"can":[48,55],"be":[49,56],"derived":[50],"whenever":[51],"underlying":[53,89],"operators":[54],"represented":[57],"by":[58],"forced":[60],"two":[61],"point":[62],"boundary":[63],"value":[64],"state-space":[65],"realizations":[66],"(TPBVSR).":[67],"This":[68],"involves":[70],"computations":[73],"with":[74],"matrices":[75],"whose":[76],"dimension":[77],"is":[78,108],"at":[79],"most":[80],"four":[81],"times":[82],"larger":[83],"than":[84],"order":[86],"differential":[90],"operator.":[91],"this":[93],"way":[94],"reduction":[97],"problem":[102],"one":[107],"accomplished.":[109],"also":[111],"provide":[112],"several":[113],"examples":[114],"illustrate":[116],"procedure.":[118]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}