{"id":"https://openalex.org/W2101578135","doi":"https://doi.org/10.1109/cdc.2010.5718024","title":"Diagonal stability of stochastic systems subject to nonlinear disturbances and diagonal H&lt;inf&gt;2&lt;/inf&gt; norms","display_name":"Diagonal stability of stochastic systems subject to nonlinear disturbances and diagonal H&lt;inf&gt;2&lt;/inf&gt; norms","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2101578135","doi":"https://doi.org/10.1109/cdc.2010.5718024","mag":"2101578135"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5718024","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718024","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","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/A5053297501","display_name":"C\u00e9dric Langbort","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"C. Langbort","raw_affiliation_strings":["Department of Aerospace Engineering, University of Illinois, Urbana-Champaign, USA","Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, USA >  >  >  >"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, University of Illinois, Urbana-Champaign, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Aerospace Engineering, University of Illinois at Urbana-Champaign, USA >  >  >  >","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109088249","display_name":"Valery Ugrinovskii","orcid":null},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]},{"id":"https://openalex.org/I40053085","display_name":"Australian Defence Force Academy","ror":"https://ror.org/02j5s7g39","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571","https://openalex.org/I40053085","https://openalex.org/I4394709116"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"V. Ugrinovskii","raw_affiliation_strings":["School of Engineering, Australian Defence Force Academy, University of New South Wales, Canberra, ACT, Australia","School of Engineering and IT, University of NSW at the Australian Defence Force Academy, Canberra, ACT, 2600, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering, Australian Defence Force Academy, University of New South Wales, Canberra, ACT, Australia","institution_ids":["https://openalex.org/I40053085","https://openalex.org/I31746571"]},{"raw_affiliation_string":"School of Engineering and IT, University of NSW at the Australian Defence Force Academy, Canberra, ACT, 2600, Australia","institution_ids":["https://openalex.org/I40053085"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053297501"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":null,"apc_paid":null,"fwci":0.7226,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.78280516,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"3188","last_page":"3193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.9991999864578247,"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":0.9991999864578247,"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":0.996999979019165,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9937000274658203,"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/diagonal","display_name":"Diagonal","score":0.7855845093727112},{"id":"https://openalex.org/keywords/lipschitz-continuity","display_name":"Lipschitz continuity","score":0.6547466516494751},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5554644465446472},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5485948324203491},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5358753204345703},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4853767156600952},{"id":"https://openalex.org/keywords/diagonal-matrix","display_name":"Diagonal matrix","score":0.4783363342285156},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4697858393192291},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44661396741867065},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.43514540791511536},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.414674311876297},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.36726653575897217},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3546495735645294},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3275531530380249},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3233222961425781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2405809462070465},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16860640048980713},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07910463213920593},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07368621230125427},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06638622283935547}],"concepts":[{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.7855845093727112},{"id":"https://openalex.org/C22324862","wikidata":"https://www.wikidata.org/wiki/Q652707","display_name":"Lipschitz continuity","level":2,"score":0.6547466516494751},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5554644465446472},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5485948324203491},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5358753204345703},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4853767156600952},{"id":"https://openalex.org/C113313756","wikidata":"https://www.wikidata.org/wiki/Q332791","display_name":"Diagonal matrix","level":3,"score":0.4783363342285156},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4697858393192291},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44661396741867065},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.43514540791511536},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.414674311876297},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.36726653575897217},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3546495735645294},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3275531530380249},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3233222961425781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2405809462070465},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16860640048980713},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07910463213920593},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07368621230125427},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06638622283935547},{"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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2010.5718024","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718024","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"49th IEEE Conference on Decision and Control (CDC)","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":17,"referenced_works":["https://openalex.org/W1565627164","https://openalex.org/W1573672270","https://openalex.org/W1579485993","https://openalex.org/W1588998206","https://openalex.org/W1603022741","https://openalex.org/W2012593267","https://openalex.org/W2063388582","https://openalex.org/W2074718261","https://openalex.org/W2076534827","https://openalex.org/W2161606278","https://openalex.org/W2312834382","https://openalex.org/W3210839039","https://openalex.org/W4206956104","https://openalex.org/W4235816940","https://openalex.org/W6633857134","https://openalex.org/W6635035695","https://openalex.org/W6636194379"],"related_works":["https://openalex.org/W1529195008","https://openalex.org/W2034395027","https://openalex.org/W2028994362","https://openalex.org/W38983538","https://openalex.org/W2924468784","https://openalex.org/W2034598826","https://openalex.org/W4285317199","https://openalex.org/W2087913063","https://openalex.org/W1525824672","https://openalex.org/W1671489304"],"abstract_inverted_index":{"A":[0],"known":[1],"result":[2,47,94,113],"in":[3,55,82],"the":[4,17,29,32,49,56,60,96,99,102,111],"stability":[5,19,58,105],"theory":[6],"of":[7,21,31,38,59,95,101],"stochastic":[8,24,104],"systems":[9,72],"with":[10],"nonlinear":[11],"Lipschitz-bounded":[12],"noise":[13],"intensity":[14],"states":[15],"that":[16],"robust":[18],"radius":[20],"such":[22,90],"a":[23],"system":[25,61],"is":[26,53,79,98,108],"equal":[27],"to":[28,48,74,110],"inverse":[30],"H":[33],"<sub":[34],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[35],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sub>":[36],"norm":[37],"its":[39],"`noise-to-output'":[40],"transfer":[41],"function.":[42],"This":[43,64],"paper":[44,97],"extends":[45],"this":[46],"case":[50],"where":[51],"one":[52,78],"interested":[54,81],"diagonal":[57,84,103],"under":[62],"consideration.":[63],"problem":[65],"arises":[66],"naturally":[67],"when":[68],"studying":[69],"large-scale":[70],"interconnected":[71],"subject":[73],"random":[75],"perturbations,":[76],"as":[77],"often":[80],"using":[83],"or":[85],"block-diagonal":[86],"Lyapunov":[87],"functions":[88],"for":[89,114],"plants.":[91],"The":[92],"main":[93],"characterization":[100],"radius,":[106],"which":[107],"similar":[109],"mentioned":[112],"non-diagonal":[115],"stability.":[116]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
