{"id":"https://openalex.org/W2164810889","doi":"https://doi.org/10.1109/acc.2007.4282217","title":"Infinite Markov Jump Bounded Real Lemma","display_name":"Infinite Markov Jump Bounded Real Lemma","publication_year":2007,"publication_date":"2007-07-01","ids":{"openalex":"https://openalex.org/W2164810889","doi":"https://doi.org/10.1109/acc.2007.4282217","mag":"2164810889"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2007.4282217","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282217","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 American Control Conference","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/A5010016645","display_name":"Marcos G. Todorov","orcid":"https://orcid.org/0000-0003-4372-2831"},"institutions":[{"id":"https://openalex.org/I11385950","display_name":"National Council for Scientific and Technological Development","ror":"https://ror.org/03swz6y49","country_code":"BR","type":"funder","lineage":["https://openalex.org/I11385950","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Marcos G. Todorov","raw_affiliation_strings":["LNCC/CNPq, National Laboratory for Scientific Computing, Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"LNCC/CNPq, National Laboratory for Scientific Computing, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I11385950"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081242243","display_name":"Marcelo D. Fragoso","orcid":"https://orcid.org/0000-0001-6299-6614"},"institutions":[{"id":"https://openalex.org/I11385950","display_name":"National Council for Scientific and Technological Development","ror":"https://ror.org/03swz6y49","country_code":"BR","type":"funder","lineage":["https://openalex.org/I11385950","https://openalex.org/I4210151455"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marcelo D. Fragoso","raw_affiliation_strings":["LNCC/CNPq, National Laboratory for Scientific Computing, Rio de Janeiro, Brazil"],"affiliations":[{"raw_affiliation_string":"LNCC/CNPq, National Laboratory for Scientific Computing, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I11385950"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010016645"],"corresponding_institution_ids":["https://openalex.org/I11385950"],"apc_list":null,"apc_paid":null,"fwci":1.7419,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.88652482,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"317","last_page":"322"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9997000098228455,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9997000098228455,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9865000247955322,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9855999946594238,"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/bounded-function","display_name":"Bounded function","score":0.6923499703407288},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6875118017196655},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5093196630477905},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5017797946929932},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4942317306995392},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4886351227760315},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4774639904499054},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4652785658836365},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.42913568019866943},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.390744149684906},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.35729965567588806},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31897035241127014},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12942948937416077},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.12251123785972595},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10872018337249756},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07974743843078613}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6923499703407288},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6875118017196655},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5093196630477905},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5017797946929932},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4942317306995392},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4886351227760315},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4774639904499054},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4652785658836365},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.42913568019866943},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.390744149684906},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.35729965567588806},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31897035241127014},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12942948937416077},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.12251123785972595},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10872018337249756},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07974743843078613},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2007.4282217","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2007.4282217","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 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":9,"referenced_works":["https://openalex.org/W1490978409","https://openalex.org/W1984822615","https://openalex.org/W1995502176","https://openalex.org/W2003194897","https://openalex.org/W2020857459","https://openalex.org/W2139025031","https://openalex.org/W2145576654","https://openalex.org/W2175082852","https://openalex.org/W2478131867"],"related_works":["https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2949964783","https://openalex.org/W2768610039","https://openalex.org/W3121250382","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340"],"abstract_inverted_index":{"A":[0],"bounded":[1],"real":[2],"lemma":[3],"is":[4],"established,":[5],"providing":[6],"an":[7,44,71],"equivalent":[8],"condition":[9],"to":[10,43,78],"stochastic":[11],"stability":[12],"(SS)":[13],"of":[14,39,41,47,70,81],"a":[15,25,64],"continuous-":[16],"time":[17],"infinite":[18,45],"Markovian":[19],"jump":[20],"linear":[21],"system":[22],"(MJLS)":[23],"with":[24],"prescribed":[26],"<i":[27,34,72],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[28,35,73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">L<sub>2</sub></i>":[29],"-stochastic":[30],"disturbance":[31],"attenuation":[32],"level":[33],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03b3</i>":[36],"in":[37,56],"terms":[38],"existence":[40],"solutions":[42],"set":[46],"coupled":[48],"Linear":[49],"Matrix":[50],"Inequalities":[51],"(LMIs).":[52],"Besides":[53],"the":[54,60,68],"interest":[55],"its":[57],"own":[58],"right,":[59],"main":[61],"result":[62],"provides":[63],"fundamental":[65],"tool":[66],"for":[67],"development":[69],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">H<sub>\u221e</sub></i>":[74],"-like":[75],"theory":[76],"devoted":[77],"this":[79],"class":[80],"systems.":[82]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
