{"id":"https://openalex.org/W1485013696","doi":"https://doi.org/10.1109/cdc.2005.1583216","title":"Observers for Interval Systems using Set and Trajectory-based Approaches","display_name":"Observers for Interval Systems using Set and Trajectory-based Approaches","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W1485013696","doi":"https://doi.org/10.1109/cdc.2005.1583216","mag":"1485013696"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1583216","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583216","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th 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/A5023299508","display_name":"Vicen\u00e7 Puig","orcid":"https://orcid.org/0000-0002-6364-6429"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"V. Puig","raw_affiliation_strings":["Automatic Control Department, Campus de Terrassa, Technical University of Catalonia, Terrassa, Spain"],"affiliations":[{"raw_affiliation_string":"Automatic Control Department, Campus de Terrassa, Technical University of Catalonia, Terrassa, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013721697","display_name":"Alexandru Stancu","orcid":"https://orcid.org/0000-0002-8290-522X"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"A. Stancu","raw_affiliation_strings":["Automatic Control Department, Campus de Terrassa, Technical University of Catalonia, Terrassa, Spain"],"affiliations":[{"raw_affiliation_string":"Automatic Control Department, Campus de Terrassa, Technical University of Catalonia, Terrassa, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083354890","display_name":"Joseba Quevedo","orcid":"https://orcid.org/0000-0002-7827-2896"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"J. Quevedo","raw_affiliation_strings":["Automatic Control Department, Campus de Terrassa, Technical University of Catalonia, Terrassa, Spain"],"affiliations":[{"raw_affiliation_string":"Automatic Control Department, Campus de Terrassa, Technical University of Catalonia, Terrassa, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5023299508"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":null,"apc_paid":null,"fwci":0.654,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.66974821,"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":"6567","last_page":"6572"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994999766349792,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994999766349792,"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/T11236","display_name":"Control Systems and Identification","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"}},{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9932000041007996,"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/trajectory","display_name":"Trajectory","score":0.785041093826294},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7201688289642334},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.6871024370193481},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6464532613754272},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6020366549491882},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.5922741889953613},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5052579045295715},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.48318710923194885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4765523076057434},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46212148666381836},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.43016698956489563},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.42677462100982666},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41158217191696167},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38667479157447815},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3267330527305603},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23901614546775818},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0781225860118866}],"concepts":[{"id":"https://openalex.org/C13662910","wikidata":"https://www.wikidata.org/wiki/Q193139","display_name":"Trajectory","level":2,"score":0.785041093826294},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7201688289642334},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.6871024370193481},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6464532613754272},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6020366549491882},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.5922741889953613},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5052579045295715},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.48318710923194885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4765523076057434},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46212148666381836},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.43016698956489563},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.42677462100982666},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41158217191696167},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38667479157447815},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3267330527305603},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23901614546775818},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0781225860118866},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"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/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},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2005.1583216","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1583216","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4300000071525574,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W64115398","https://openalex.org/W296311487","https://openalex.org/W636107755","https://openalex.org/W1506831855","https://openalex.org/W1547993615","https://openalex.org/W1564867257","https://openalex.org/W1576510880","https://openalex.org/W1789809724","https://openalex.org/W2005583446","https://openalex.org/W2051110650","https://openalex.org/W2093484645","https://openalex.org/W2115003552","https://openalex.org/W2116679494","https://openalex.org/W2143506459","https://openalex.org/W4298255709","https://openalex.org/W6651961252"],"related_works":["https://openalex.org/W3192036299","https://openalex.org/W2146428417","https://openalex.org/W3176458675","https://openalex.org/W1981875704","https://openalex.org/W2119041024","https://openalex.org/W2561776955","https://openalex.org/W576983769","https://openalex.org/W2122087045","https://openalex.org/W2138120972","https://openalex.org/W2054830681"],"abstract_inverted_index":{"In":[0],"this":[1,41],"paper,":[2],"set":[3],"and":[4,15,85,144],"trajectory-based":[5,76,96],"approaches":[6,51,65,77,97,114],"to":[7,44,58,75,100,127],"interval":[8,55,61,137],"observation":[9,62,138],"of":[10,19,40,48,69,113,136],"uncertain":[11,20,89],"systems":[12,21,25],"are":[13,23,66,98,115],"presented":[14],"compared.":[16],"The":[17,38],"kind":[18],"considered":[22],"those":[24],"described":[26],"by":[27,146],"a":[28,70],"discrete":[29],"linear":[30],"time-invariant":[31],"model":[32],"with":[33],"parameters":[34],"bounded":[35],"in":[36,149],"intervals.":[37],"aim":[39],"paper":[42],"is":[43,107],"study":[45],"the":[46,54,60,82,93,118,121,129],"viability":[47],"using":[49,147],"set-based":[50],"coming":[52],"from":[53,81],"analysis":[56],"community":[57],"solve":[59],"problem.":[63],"Set-based":[64],"appealing":[67],"because":[68],"lower":[71],"computational":[72,105],"complexity":[73,106],"compared":[74,145],"but":[78,103],"they":[79],"suffer":[80],"wrapping":[83],"effect":[84],"do":[86],"not":[87],"preserve":[88],"parameter":[90],"time-invariance.":[91],"On":[92],"other":[94],"hand,":[95],"immune":[99],"these":[101,110,133],"problems":[102],"their":[104],"higher.":[108],"However,":[109],"two":[111,134],"families":[112,135],"equivalent":[116],"when":[117],"observer":[119,130],"satisfies":[120],"isotonicity":[122],"condition,":[123],"which":[124],"give":[125],"criteria":[126],"tune":[128],"gain.":[131],"Finally,":[132],"philosophies":[139],"will":[140],"be":[141],"presented,":[142],"analysed":[143],"them":[148],"an":[150],"example.":[151]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}