{"id":"https://openalex.org/W2058600782","doi":"https://doi.org/10.1109/cdc.2012.6426597","title":"Estimation of reachability sets for large-scale uncertain systems: From theory to computation","display_name":"Estimation of reachability sets for large-scale uncertain systems: From theory to computation","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2058600782","doi":"https://doi.org/10.1109/cdc.2012.6426597","mag":"2058600782"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2012.6426597","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426597","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st 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/A5016865616","display_name":"Alexander N. Daryin","orcid":"https://orcid.org/0000-0002-7549-9702"},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Alexander N. Daryin","raw_affiliation_strings":["Faculty of Computational Mathematics & Cybernetics (VMK), Moscow State (Lomonosov) University, Moscow, Russia","Fac. of Comput. Math. & Cybern. (VMK), Moscow State (Lomonosov) Univ., Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Computational Mathematics & Cybernetics (VMK), Moscow State (Lomonosov) University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Fac. of Comput. Math. & Cybern. (VMK), Moscow State (Lomonosov) Univ., Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109347019","display_name":"Alexander B. Kurzhanski","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"education","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Alexander B. Kurzhanski","raw_affiliation_strings":["Faculty of Computational Mathematics & Cybernetics (VMK), Moscow State (Lomonosov) University, Moscow, Russia","Fac. of Comput. Math. & Cybern. (VMK), Moscow State (Lomonosov) Univ., Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Faculty of Computational Mathematics & Cybernetics (VMK), Moscow State (Lomonosov) University, Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]},{"raw_affiliation_string":"Fac. of Comput. Math. & Cybern. (VMK), Moscow State (Lomonosov) Univ., Moscow, Russia","institution_ids":["https://openalex.org/I19880235"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016865616"],"corresponding_institution_ids":["https://openalex.org/I19880235"],"apc_list":null,"apc_paid":null,"fwci":1.7057,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.86743926,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"7401","last_page":"7406"},"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":0.9983000159263611,"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":0.9983000159263611,"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/T11236","display_name":"Control Systems and Identification","score":0.998199999332428,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.907366931438446},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7629618644714355},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7442642450332642},{"id":"https://openalex.org/keywords/ellipsoid","display_name":"Ellipsoid","score":0.7352191209793091},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6264643669128418},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6253951787948608},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.5588409900665283},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.5281258225440979},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4929773807525635},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.4814252555370331},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4215781092643738},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4178040027618408},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41655558347702026},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.381362646818161},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27170228958129883},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.23993009328842163}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.907366931438446},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7629618644714355},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7442642450332642},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.7352191209793091},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6264643669128418},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6253951787948608},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.5588409900665283},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.5281258225440979},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4929773807525635},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.4814252555370331},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4215781092643738},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4178040027618408},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41655558347702026},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.381362646818161},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27170228958129883},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.23993009328842163},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2012.6426597","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2012.6426597","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 IEEE 51st 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":5,"referenced_works":["https://openalex.org/W1726255445","https://openalex.org/W2096196701","https://openalex.org/W2098073114","https://openalex.org/W2127520982","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2127267268","https://openalex.org/W2164153476","https://openalex.org/W2774442510","https://openalex.org/W4375851942","https://openalex.org/W2142388326","https://openalex.org/W1996190563","https://openalex.org/W2059046304","https://openalex.org/W2144878166","https://openalex.org/W2119819375","https://openalex.org/W2295922520"],"abstract_inverted_index":{"The":[0,40],"estimation":[1],"of":[2,7,26,47,54,76,85,94],"reachability":[3],"sets":[4],"for":[5,98],"systems":[6,53],"high":[8,17,55],"dimensions":[9,56],"is":[10,30,91],"a":[11],"challenging":[12],"issue":[13],"due":[14],"to":[15,31,52],"its":[16],"computational":[18],"complexity.":[19],"For":[20],"linear":[21],"systems,":[22],"an":[23,65,92],"efficient":[24],"way":[25],"calculating":[27],"such":[28,48],"estimates":[29],"find":[32],"their":[33],"set-valued":[34],"approximations":[35],"provided":[36],"by":[37],"ellipsoidal":[38,77,87],"calculus.":[39],"present":[41,64],"paper":[42],"deals":[43],"with":[44,57],"various":[45],"aspects":[46],"approach":[49],"as":[50],"applied":[51],"unknown":[58],"but":[59],"bounded":[60],"input":[61],"disturbances.":[62],"We":[63],"innovative":[66],"technique":[67],"based":[68],"on":[69],"parallel":[70],"computation":[71],"that":[72],"involves":[73],"on-line":[74],"mixing":[75],"tubes":[78],"found":[79],"in":[80],"parallel.":[81],"This":[82],"improves":[83],"robustness":[84],"the":[86,95],"estimates.":[88],"Finally":[89],"discussed":[90],"implementation":[93],"algorithm":[96],"intended":[97],"supercomputer":[99],"clusters.":[100]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
