{"id":"https://openalex.org/W2165136011","doi":"https://doi.org/10.1109/cdc.2010.5718088","title":"Practical set invariance for decentralized discrete time systems","display_name":"Practical set invariance for decentralized discrete time systems","publication_year":2010,"publication_date":"2010-12-01","ids":{"openalex":"https://openalex.org/W2165136011","doi":"https://doi.org/10.1109/cdc.2010.5718088","mag":"2165136011"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2010.5718088","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718088","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/A5002679142","display_name":"Sa\u0161a V. Rakovi\u0107","orcid":"https://orcid.org/0000-0002-5402-0483"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["DE","GB"],"is_corresponding":true,"raw_author_name":"Sasa V. Rakovic","raw_affiliation_strings":["Department of Engineering Science, University of Oxford, UK","Institute for Automation Engineering of Otto-von-Guericke-Universit\u00e4t, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Institute for Automation Engineering of Otto-von-Guericke-Universit\u00e4t, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080335839","display_name":"Benjamin Kern","orcid":null},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]},{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["DE","GB"],"is_corresponding":false,"raw_author_name":"Benjamin Kern","raw_affiliation_strings":["Department of Engineering Science, University of Oxford, UK","Institute for Automation Engineering of Otto-von-Guericke-Universit\u00e4t, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Engineering Science, University of Oxford, UK","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Institute for Automation Engineering of Otto-von-Guericke-Universit\u00e4t, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040485515","display_name":"Rolf Findeisen","orcid":"https://orcid.org/0000-0002-9112-5946"},"institutions":[{"id":"https://openalex.org/I95793202","display_name":"Otto-von-Guericke University Magdeburg","ror":"https://ror.org/00ggpsq73","country_code":"DE","type":"education","lineage":["https://openalex.org/I95793202"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rolf Findeisen","raw_affiliation_strings":["Institute for Automation Engineering of Otto-von-Guericke-Universit\u00e4t, Magdeburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institute for Automation Engineering of Otto-von-Guericke-Universit\u00e4t, Magdeburg, Germany","institution_ids":["https://openalex.org/I95793202"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5002679142"],"corresponding_institution_ids":["https://openalex.org/I40120149","https://openalex.org/I95793202"],"apc_list":null,"apc_paid":null,"fwci":11.6492,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.98371182,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3283","last_page":"3288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998999834060669,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9998999834060669,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9972000122070312,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9965999722480774,"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/set","display_name":"Set (abstract data type)","score":0.7358487844467163},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.7214431762695312},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5883603096008301},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5601828694343567},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.47917142510414124},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4619147777557373},{"id":"https://openalex.org/keywords/decentralised-system","display_name":"Decentralised system","score":0.45048946142196655},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4281430244445801},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.354519248008728},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34584730863571167},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.23825204372406006},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1279248297214508},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.08709144592285156}],"concepts":[{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.7358487844467163},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.7214431762695312},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5883603096008301},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5601828694343567},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.47917142510414124},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4619147777557373},{"id":"https://openalex.org/C205875254","wikidata":"https://www.wikidata.org/wiki/Q17156857","display_name":"Decentralised system","level":3,"score":0.45048946142196655},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4281430244445801},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.354519248008728},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34584730863571167},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.23825204372406006},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1279248297214508},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.08709144592285156},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc.2010.5718088","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2010.5718088","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"},{"id":"pmh:oai:escidoc.org:escidoc:2575151","is_oa":false,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0001-F4F5-7","pdf_url":null,"source":{"id":"https://openalex.org/S7407052962","display_name":"Max Planck Digital Library","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1491672380","https://openalex.org/W1571966798","https://openalex.org/W1579118835","https://openalex.org/W1603022741","https://openalex.org/W1880805667","https://openalex.org/W1988750285","https://openalex.org/W1997662681","https://openalex.org/W2001692419","https://openalex.org/W2033898614","https://openalex.org/W2038993089","https://openalex.org/W2086298643","https://openalex.org/W2127580532","https://openalex.org/W2157259726","https://openalex.org/W2165136011","https://openalex.org/W2171505650","https://openalex.org/W2312834382","https://openalex.org/W2330548796","https://openalex.org/W2612952478","https://openalex.org/W4211232706","https://openalex.org/W4233178228","https://openalex.org/W6647521073","https://openalex.org/W6650669792","https://openalex.org/W7074599332"],"related_works":["https://openalex.org/W2381242807","https://openalex.org/W3126131230","https://openalex.org/W2347541121","https://openalex.org/W4288804799","https://openalex.org/W2080951048","https://openalex.org/W3089617106","https://openalex.org/W3032237421","https://openalex.org/W3011883280","https://openalex.org/W2390346111","https://openalex.org/W2135175576"],"abstract_inverted_index":{"This":[0],"paper":[1],"discusses":[2],"set":[3,47,72],"invariance":[4,48,73],"notions":[5],"for":[6,49,92],"decentralized":[7,31,104],"discrete":[8],"time":[9],"systems":[10],"which":[11,75],"are":[12],"physically":[13],"inter-connected.":[14],"We":[15],"employ":[16],"independent":[17,50,96],"set-dynamics":[18,51],"induced":[19],"by":[20,54,68],"the":[21,26,30,37,41,44,63,80,88,99,102],"underlying":[22],"subsystems":[23,100],"subject":[24],"to":[25],"available":[27],"information":[28],"in":[29],"setting.":[32],"The":[33,60],"main":[34],"novelty":[35],"of":[36,46,58,62,98],"approach":[38],"lies":[39],"within":[40],"fact":[42],"that":[43],"concept":[45],"is":[52,66,76],"formalized":[53],"employing":[55],"appropriate":[56],"families":[57],"sets.":[59],"complexity":[61],"exact":[64],"notion":[65,74,90],"alleviated":[67],"introducing":[69],"a":[70],"practical":[71],"then":[77],"complemented":[78],"with":[79],"corresponding":[81],"relaxed":[82],"stability":[83],"analysis.":[84],"Under":[85],"mild":[86],"assumptions,":[87],"introduced":[89],"allows":[91],"safe,":[93],"stable":[94],"and":[95],"operation":[97],"forming":[101],"overall":[103],"system.":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}