{"id":"https://openalex.org/W2161551776","doi":"https://doi.org/10.1109/ecc.2015.7330837","title":"D-optimal input design for identification of a continuous system using sum of squares polynomial","display_name":"D-optimal input design for identification of a continuous system using sum of squares polynomial","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2161551776","doi":"https://doi.org/10.1109/ecc.2015.7330837","mag":"2161551776"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2015.7330837","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330837","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 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/A5103576920","display_name":"Mithun IM","orcid":null},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"education","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Mithun IM","raw_affiliation_strings":["Department of Electrical Engineering, IIT Madras, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, IIT Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064002794","display_name":"Shravan Mohan","orcid":null},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"education","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Shravan Mohan","raw_affiliation_strings":["Department of Electrical Engineering, IIT Madras and Santa Fe Research, Research Park, IIT Madras, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, IIT Madras and Santa Fe Research, Research Park, IIT Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007622044","display_name":"Bharath Bhikkaji","orcid":"https://orcid.org/0000-0003-1942-0251"},"institutions":[{"id":"https://openalex.org/I24676775","display_name":"Indian Institute of Technology Madras","ror":"https://ror.org/03v0r5n49","country_code":"IN","type":"education","lineage":["https://openalex.org/I24676775"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Bharath Bhikkaji","raw_affiliation_strings":["Department of Electrical Engineering, IIT Madras, Chennai, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, IIT Madras, Chennai, India","institution_ids":["https://openalex.org/I24676775"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.09325139,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"2027","last_page":"2031"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"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/T11236","display_name":"Control Systems and Identification","score":0.9998000264167786,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9972000122070312,"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9918000102043152,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6716359257698059},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6139232516288757},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.5772368311882019},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5662590861320496},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5570498704910278},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.49149930477142334},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4884883165359497},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.48582005500793457},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4795779585838318},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.26420485973358154},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19891422986984253},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.079348623752594}],"concepts":[{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6716359257698059},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6139232516288757},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.5772368311882019},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5662590861320496},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5570498704910278},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.49149930477142334},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4884883165359497},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.48582005500793457},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4795779585838318},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26420485973358154},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19891422986984253},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.079348623752594},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/ecc.2015.7330837","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2015.7330837","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 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":18,"referenced_works":["https://openalex.org/W648194905","https://openalex.org/W762548733","https://openalex.org/W1510243217","https://openalex.org/W1515361063","https://openalex.org/W1559197676","https://openalex.org/W1766888123","https://openalex.org/W2006244467","https://openalex.org/W2010979341","https://openalex.org/W2017351261","https://openalex.org/W2061099647","https://openalex.org/W2071127075","https://openalex.org/W2078314799","https://openalex.org/W2102023741","https://openalex.org/W2103222580","https://openalex.org/W2144351691","https://openalex.org/W2319913138","https://openalex.org/W2483357515","https://openalex.org/W2913465992"],"related_works":["https://openalex.org/W2378346679","https://openalex.org/W2898894401","https://openalex.org/W3010831251","https://openalex.org/W2058869626","https://openalex.org/W2106850246","https://openalex.org/W4388252235","https://openalex.org/W2378144170","https://openalex.org/W1991217434","https://openalex.org/W2146767785","https://openalex.org/W2753003631"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,20,40,59,147],"paradigm":[4],"for":[5],"designing":[6],"inputs":[7],"to":[8,18,39,47,156],"identify":[9],"linear":[10,114],"continuous-time":[11],"SISO":[12],"systems.":[13],"The":[14,32],"goal":[15],"here":[16],"is":[17,24,55,68,110,154],"design":[19],"band-limited":[21],"spectrum":[22,50,109,123,165],"that":[23,70,107],"D-optimal":[25,33,141],"and":[26,77,96,119,136,166],"satisfies":[27],"certain":[28],"input/output":[29,36],"power":[30,134,164],"constraints.":[31],"criterion":[34],"with":[35,132,146],"constraints":[37,130,135,138],"lead":[38],"set":[41],"of":[42,63,73,99,121,161],"optimal":[43,94],"moments.":[44],"In":[45],"order":[46,61,102,152],"determine":[48],"the":[49,71,74,90,93,97,100,105,108,113,117,122,133,140,158,163,167],"from":[51],"these":[52],"moments,":[53],"it":[54],"first":[56],"approximated":[57],"by":[58,88],"finite":[60,101],"sum":[62],"squares":[64],"(s.o.s.)":[65],"polynomial.":[66],"It":[67],"shown":[69],"coefficients":[72,84,120],"s.o.s.":[75],"polynomial":[76],"its":[78],"moments":[79,95,98,118],"are":[80],"linearly":[81],"related.":[82],"These":[83],"can":[85,124],"be":[86,126],"determined":[87],"minimizing":[89],"distance":[91],"between":[92,116],"approximation":[103],"under":[104],"constraint":[106],"non-negative.":[111],"Alternatively,":[112],"relationship":[115],"also":[125],"enforced":[127],"as":[128],"additional":[129],"along":[131],"non-negativity":[137],"in":[139],"framework.":[142],"A":[143],"simulation":[144],"example,":[145],"2":[148],"<sup":[149],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[150],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">nd</sup>":[151],"system,":[153],"presented":[155],"illustrate":[157],"proposed":[159],"method":[160],"determining":[162],"input.":[168]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}