{"id":"https://openalex.org/W2122013352","doi":"https://doi.org/10.1109/cdc.2008.4738637","title":"A fast algorithm to compute the controllability, decentralized fixed-mode, and minimum-phase radius of LTI systems","display_name":"A fast algorithm to compute the controllability, decentralized fixed-mode, and minimum-phase radius of LTI systems","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2122013352","doi":"https://doi.org/10.1109/cdc.2008.4738637","mag":"2122013352"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4738637","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","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/A5069742279","display_name":"Simon Lam","orcid":"https://orcid.org/0000-0001-7794-207X"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Simon Lam","raw_affiliation_strings":["Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","Syst. Control Group, Univ. of Toronto, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Syst. Control Group, Univ. of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113557516","display_name":"E.J. Davison","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Edward J. Davison","raw_affiliation_strings":["Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","Syst. Control Group, Univ. of Toronto, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Syst. Control Group, Univ. of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5069742279"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":0.8225,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.79519638,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":null,"first_page":"508","last_page":"513"},"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9995999932289124,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9980000257492065,"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/controllability","display_name":"Controllability","score":0.8854281902313232},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6397193670272827},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5659192204475403},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.5582517385482788},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.51021409034729},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49857234954833984},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.49818849563598633},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.477413535118103},{"id":"https://openalex.org/keywords/minimum-phase","display_name":"Minimum phase","score":0.4517013132572174},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42606014013290405},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4063350558280945},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3852628469467163},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.33451664447784424},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.265342116355896},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17177513241767883},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13325980305671692},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10783153772354126}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8854281902313232},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6397193670272827},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5659192204475403},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.5582517385482788},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.51021409034729},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49857234954833984},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.49818849563598633},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.477413535118103},{"id":"https://openalex.org/C170263048","wikidata":"https://www.wikidata.org/wiki/Q489593","display_name":"Minimum phase","level":3,"score":0.4517013132572174},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42606014013290405},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4063350558280945},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3852628469467163},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.33451664447784424},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.265342116355896},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17177513241767883},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13325980305671692},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10783153772354126},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2008.4738637","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738637","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th IEEE Conference on Decision and Control","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":8,"referenced_works":["https://openalex.org/W1879276171","https://openalex.org/W2025489874","https://openalex.org/W2050649877","https://openalex.org/W2118154366","https://openalex.org/W2143987183","https://openalex.org/W2151177951","https://openalex.org/W2163044500","https://openalex.org/W2168534466"],"related_works":["https://openalex.org/W2054831413","https://openalex.org/W2003019938","https://openalex.org/W1999673819","https://openalex.org/W3209184047","https://openalex.org/W4237454804","https://openalex.org/W1942635442","https://openalex.org/W2170835896","https://openalex.org/W2026068621","https://openalex.org/W1990421243","https://openalex.org/W1556353120"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"an":[3],"efficient":[4],"algorithm":[5,53],"is":[6,15,74,80],"presented":[7],"for":[8],"solving":[9],"the":[10,19,33,36,41,51,58,64],"2-D":[11],"optimization":[12],"problem":[13],"which":[14],"associated":[16],"with":[17,66],"computing":[18],"robustness":[20],"measures":[21],"of":[22,25,57,70],"a":[23,67],"number":[24],"linear":[26],"time-invariant":[27],"(LTI)":[28],"system":[29],"properties":[30],"such":[31,46],"as":[32,47],"controllability":[34],"radius,":[35,39],"decentralized":[37],"fixed-mode":[38],"and":[40,62],"minimum-phase":[42],"radius.":[43],"Unlike":[44],"methods":[45],"gradient":[48],"search":[49],"methods,":[50],"proposed":[52],"works":[54],"well":[55],"independent":[56],"initial":[59],"trial":[60],"point,":[61],"obtains":[63],"minimum":[65],"high":[68],"level":[69],"confidence":[71],"that":[72],"it":[73],"indeed":[75],"global.":[76],"A":[77],"numerical":[78],"example":[79],"included.":[81]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
