{"id":"https://openalex.org/W2116631256","doi":"https://doi.org/10.1109/acc.2009.5159967","title":"Generalized real perturbation values with applications to the structured real controllability radius of LTI systems","display_name":"Generalized real perturbation values with applications to the structured real controllability radius of LTI systems","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2116631256","doi":"https://doi.org/10.1109/acc.2009.5159967","mag":"2116631256"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2009.5159967","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2009.5159967","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 American Control Conference","raw_type":"proceedings-article"},"type":"conference-paper","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":false,"raw_author_name":"Simon Lam","raw_affiliation_strings":["Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, ON, Canada M5S 3G4"],"raw_orcid":null,"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":"Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, ON, Canada M5S 3G4","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","Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, ON, Canada M5S 3G4"],"raw_orcid":null,"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":"Systems Control Group, Department of Electrical and Computer Engineering, University of Toronto, ON, Canada M5S 3G4","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":0.9033,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.71654676,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"2439","last_page":"2444"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10575","display_name":"Wireless Communication Networks Research","score":0.996999979019165,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9944999814033508,"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":0.8162636756896973},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6766703724861145},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5995540618896484},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5367113351821899},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5087946057319641},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4879443049430847},{"id":"https://openalex.org/keywords/inverted-pendulum","display_name":"Inverted pendulum","score":0.4534209072589874},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4091131389141083},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3607152998447418},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3291703462600708},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24547147750854492},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22426193952560425},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.12341922521591187}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8162636756896973},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6766703724861145},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5995540618896484},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5367113351821899},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5087946057319641},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4879443049430847},{"id":"https://openalex.org/C192921069","wikidata":"https://www.wikidata.org/wiki/Q550134","display_name":"Inverted pendulum","level":3,"score":0.4534209072589874},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4091131389141083},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3607152998447418},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3291703462600708},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24547147750854492},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22426193952560425},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.12341922521591187},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2009.5159967","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2009.5159967","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 American Control Conference","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":19,"referenced_works":["https://openalex.org/W131014589","https://openalex.org/W1520415682","https://openalex.org/W1972455278","https://openalex.org/W1972949070","https://openalex.org/W1977271127","https://openalex.org/W1985852691","https://openalex.org/W1994096801","https://openalex.org/W2020806361","https://openalex.org/W2025489874","https://openalex.org/W2050649877","https://openalex.org/W2115731523","https://openalex.org/W2118154366","https://openalex.org/W2143987183","https://openalex.org/W2149087996","https://openalex.org/W2151177951","https://openalex.org/W2163044500","https://openalex.org/W2168534466","https://openalex.org/W2798909945","https://openalex.org/W7056779286"],"related_works":["https://openalex.org/W2036697162","https://openalex.org/W2332386680","https://openalex.org/W2561315646","https://openalex.org/W2248621902","https://openalex.org/W2003779889","https://openalex.org/W4205698120","https://openalex.org/W4239246781","https://openalex.org/W2542825942","https://openalex.org/W3201620972","https://openalex.org/W2059629883"],"abstract_inverted_index":{"This":[0],"paper":[1],"generalizes":[2],"the":[3,24,42,45,56,59,73],"notion":[4],"of":[5,9,30,44,58,72],"real":[6,27,47],"perturbation":[7,19,28],"values":[8,29],"a":[10,16,31,68],"complex":[11],"matrix":[12,32],"to":[13,54],"account":[14],"for":[15,22],"more":[17],"general":[18],"structure.":[20],"Formulas":[21],"computing":[23],"so-called":[25],"generalized":[26],"are":[33],"derived":[34],"and":[35,64],"presented.":[36],"Using":[37],"these":[38],"results,":[39],"we":[40,65],"revisit":[41],"computation":[43],"structured":[46],"controllability":[48],"radius":[49],"that":[50],"was":[51],"previously":[52],"used":[53],"evaluate":[55],"robustness":[57],"multi-link":[60],"inverted":[61],"pendulum":[62],"system,":[63],"also":[66],"study":[67],"new":[69],"normalized":[70],"version":[71],"transmission":[74],"zero":[75],"at":[76],"s":[77],"radius.":[78]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}