{"id":"https://openalex.org/W2484772315","doi":"https://doi.org/10.1109/acc.2016.7525621","title":"Reachability of a cascade of linear systems with communication delays","display_name":"Reachability of a cascade of linear systems with communication delays","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2484772315","doi":"https://doi.org/10.1109/acc.2016.7525621","mag":"2484772315"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2016.7525621","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7525621","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","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/A5026871182","display_name":"Erik I. Verriest","orcid":"https://orcid.org/0000-0002-0071-8763"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Erik I. Verriest","raw_affiliation_strings":["School of ECE, Georgia Institute of Technology, Atlanta, Georgia, USA"],"affiliations":[{"raw_affiliation_string":"School of ECE, Georgia Institute of Technology, Atlanta, Georgia, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018855024","display_name":"Uwe Helmke","orcid":null},"institutions":[{"id":"https://openalex.org/I25974101","display_name":"University of W\u00fcrzburg","ror":"https://ror.org/00fbnyb24","country_code":"DE","type":"education","lineage":["https://openalex.org/I25974101"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Uwe Helmke","raw_affiliation_strings":["Institute of Mathematics, University of W\u00fcrzburg, W\u00fcrzburg, Germany"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, University of W\u00fcrzburg, W\u00fcrzburg, Germany","institution_ids":["https://openalex.org/I25974101"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087491548","display_name":"Paul A. Fuhrmann","orcid":null},"institutions":[{"id":"https://openalex.org/I124227911","display_name":"Ben-Gurion University of the Negev","ror":"https://ror.org/05tkyf982","country_code":"IL","type":"education","lineage":["https://openalex.org/I124227911"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Paul A. Fuhrmann","raw_affiliation_strings":["Department of Mathematics, Ben Gurion University, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ben Gurion University, Israel","institution_ids":["https://openalex.org/I124227911"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026871182"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":0.3485,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.66569141,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"4440","last_page":"4445"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10142","display_name":"Formal Methods in Verification","score":0.9991000294685364,"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/T10142","display_name":"Formal Methods in Verification","score":0.9991000294685364,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9968000054359436,"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":0.9951000213623047,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.9719507694244385},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.7418457269668579},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6140683889389038},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5359400510787964},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4861468970775604},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.46406158804893494},{"id":"https://openalex.org/keywords/series-and-parallel-circuits","display_name":"Series and parallel circuits","score":0.4619150161743164},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.44135603308677673},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.43491384387016296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36646997928619385},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32332462072372437},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.23409494757652283},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2128371000289917},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.0880829393863678},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.0457129180431366}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9719507694244385},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.7418457269668579},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6140683889389038},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5359400510787964},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4861468970775604},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.46406158804893494},{"id":"https://openalex.org/C95023266","wikidata":"https://www.wikidata.org/wiki/Q55738334","display_name":"Series and parallel circuits","level":3,"score":0.4619150161743164},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.44135603308677673},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.43491384387016296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36646997928619385},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32332462072372437},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.23409494757652283},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2128371000289917},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0880829393863678},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0457129180431366},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C43617362","wikidata":"https://www.wikidata.org/wiki/Q170050","display_name":"Chromatography","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/acc.2016.7525621","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2016.7525621","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 American Control Conference (ACC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W62529199","https://openalex.org/W1175903360","https://openalex.org/W1988317544","https://openalex.org/W2022879286","https://openalex.org/W2085849252","https://openalex.org/W2159946190","https://openalex.org/W2798813531","https://openalex.org/W4254900683","https://openalex.org/W6750458900"],"related_works":["https://openalex.org/W4253760428","https://openalex.org/W2047831585","https://openalex.org/W3208672221","https://openalex.org/W3017277461","https://openalex.org/W2099490078","https://openalex.org/W4287199681","https://openalex.org/W3172202899","https://openalex.org/W1548979236","https://openalex.org/W4224983736","https://openalex.org/W4389158950"],"abstract_inverted_index":{"We":[0,22],"explore":[1],"the":[2,8,19,24,27,77,95],"issue":[3],"of":[4,11,31,40,60,76,80,90,98],"characterizing":[5,32],"reachability":[6,35,59,75,91],"for":[7,36,56],"series":[9,38,62,78,96],"connection":[10,39,79,97],"multivariable":[12],"linear":[13,41,102],"discrete-time":[14],"systems":[15,48],"with":[16],"delays":[17],"on":[18,74,94],"interconnection":[20],"channels.":[21],"embed":[23],"problem":[25],"into":[26],"more":[28,87],"general":[29],"question":[30],"partial":[33,57],"state":[34,58],"a":[37,61,86],"systems.":[42,103],"By":[43],"employing":[44],"methods":[45],"from":[46],"algebraic":[47],"theory,":[49],"necessary":[50],"and":[51,71],"sufficient":[52],"conditions":[53],"are":[54],"derived":[55],"connection.":[63],"Our":[64],"results":[65,68],"extend":[66],"earlier":[67],"by":[69,92],"Callier":[70],"Nahum":[72],"[1]":[73],"two":[81],"systems,":[82],"as":[83,85],"well":[84],"recent":[88],"characterization":[89],"[3]":[93],"r":[99],"\u2265":[100],"2":[101]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}