{"id":"https://openalex.org/W2062022663","doi":"https://doi.org/10.1109/ecc.2014.6862158","title":"Spectral expression for the frequency-limited &amp;#x210B;&lt;inf&gt;2&lt;/inf&gt;-norm of LTI dynamical systems with high order poles","display_name":"Spectral expression for the frequency-limited &amp;#x210B;&lt;inf&gt;2&lt;/inf&gt;-norm of LTI dynamical systems with high order poles","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2062022663","doi":"https://doi.org/10.1109/ecc.2014.6862158","mag":"2062022663"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2014.6862158","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2014.6862158","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 European Control Conference (ECC)","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/A5037345886","display_name":"Pierre Vuillemin","orcid":"https://orcid.org/0000-0001-6986-8447"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I193033237","display_name":"Institut Superieur de l'Aeronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierre Vuillemin","raw_affiliation_strings":["Universit\u00e9 de Toulouse and Onera \u2013 The French Aerospace Lab, Toulouse, France","Univ. de Toulouse, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Toulouse and Onera \u2013 The French Aerospace Lab, Toulouse, France","institution_ids":["https://openalex.org/I193033237","https://openalex.org/I17866349"]},{"raw_affiliation_string":"Univ. de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I17866349"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087553375","display_name":"Charles Poussot-Vassal","orcid":"https://orcid.org/0000-0001-9106-1893"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"id":"https://openalex.org/I193033237","display_name":"Institut Superieur de l'Aeronautique et de l'Espace (ISAE-SUPAERO)","ror":"https://ror.org/04gyj6s21","country_code":"FR","type":"education","lineage":["https://openalex.org/I193033237"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Charles Poussot-Vassal","raw_affiliation_strings":["Universit\u00e9 de Toulouse and Onera \u2013 The French Aerospace Lab, Toulouse, France","Onera - The French Aerosp. Lab., Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Toulouse and Onera \u2013 The French Aerospace Lab, Toulouse, France","institution_ids":["https://openalex.org/I193033237","https://openalex.org/I17866349"]},{"raw_affiliation_string":"Onera - The French Aerosp. Lab., Toulouse, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084959542","display_name":"Daniel Alazard","orcid":"https://orcid.org/0000-0002-5830-1821"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Daniel Alazard","raw_affiliation_strings":["Onera \u2013 The French Aerospace Lab, Toulouse, France","Univ. de Toulouse, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Onera \u2013 The French Aerospace Lab, Toulouse, France","institution_ids":[]},{"raw_affiliation_string":"Univ. de Toulouse, Toulouse, France","institution_ids":["https://openalex.org/I17866349"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8208,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78388189,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"49","issue":null,"first_page":"55","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9986000061035156,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9986000061035156,"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":0.9965000152587891,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9941999912261963,"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/norm","display_name":"Norm (philosophy)","score":0.5788441300392151},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.49374207854270935},{"id":"https://openalex.org/keywords/diagonalizable-matrix","display_name":"Diagonalizable matrix","score":0.4793163537979126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3884739577770233},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.36355531215667725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.347499281167984},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3303564190864563},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1510542333126068},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11741098761558533},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.0840933620929718},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.06452402472496033}],"concepts":[{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5788441300392151},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.49374207854270935},{"id":"https://openalex.org/C30072841","wikidata":"https://www.wikidata.org/wiki/Q1767080","display_name":"Diagonalizable matrix","level":4,"score":0.4793163537979126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3884739577770233},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.36355531215667725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.347499281167984},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3303564190864563},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1510542333126068},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11741098761558533},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0840933620929718},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.06452402472496033},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecc.2014.6862158","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2014.6862158","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 European Control Conference (ECC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W40614231","https://openalex.org/W209789555","https://openalex.org/W1551480811","https://openalex.org/W1833690085","https://openalex.org/W1965315468","https://openalex.org/W1966992674","https://openalex.org/W1969325212","https://openalex.org/W1996721343","https://openalex.org/W2012604200","https://openalex.org/W2074221698","https://openalex.org/W2088872157","https://openalex.org/W2100289652","https://openalex.org/W2120676102","https://openalex.org/W2136195193","https://openalex.org/W2160975498","https://openalex.org/W2952934317","https://openalex.org/W4298875567","https://openalex.org/W6601687934","https://openalex.org/W6608426962","https://openalex.org/W6843741531"],"related_works":["https://openalex.org/W3149741176","https://openalex.org/W2584030696","https://openalex.org/W2977088962","https://openalex.org/W4313367752","https://openalex.org/W4302613585","https://openalex.org/W2052952262","https://openalex.org/W2143024504","https://openalex.org/W2964016479","https://openalex.org/W2154650104","https://openalex.org/W2578268943"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,7,21,41,60,63,75],"spectral":[4],"expression":[5],"of":[6,23,40,62],"frequency-limited":[8,64],"\u210b":[9,65,79],"<sub":[10,66,80],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[11,67,81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[12,68,82],"-norm,":[13],"firstly":[14],"presented":[15,57],"in":[16,50],"[18],":[17],"is":[18,33,49],"extended":[19],"to":[20,45,58,71],"case":[22],"LTI":[24],"dynamical":[25],"systems":[26],"which":[27,48],"are":[28,56],"not":[29],"diagonalizable.":[30],"This":[31],"extension":[32],"achieved":[34],"by":[35],"considering":[36],"partial":[37],"fraction":[38],"decomposition":[39],"transfer":[42],"function":[43],"associated":[44],"a":[46,51],"system":[47],"Jordan":[52],"form.":[53],"Besides,":[54],"examples":[55],"illustrate":[59],"behaviour":[61],"-norm":[69],"and":[70],"compare":[72],"it":[73],"with":[74],"commonly":[76],"used":[77],"frequency-weighted":[78],"-norm.":[83]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}