{"id":"https://openalex.org/W2167799507","doi":"https://doi.org/10.1109/tac.2010.2063230","title":"Distributed Control in Multiple Dimensions: A Structure Preserving Computational Technique","display_name":"Distributed Control in Multiple Dimensions: A Structure Preserving Computational Technique","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W2167799507","doi":"https://doi.org/10.1109/tac.2010.2063230","mag":"2167799507"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2063230","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5091199557","display_name":"Justin K. Rice","orcid":null},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Justin K Rice","raw_affiliation_string":"[Delft Center for Systems and Control, Delft University, Delft, Netherlands]","raw_affiliation_strings":["[Delft Center for Systems and Control, Delft University, Delft, Netherlands]"]},{"author_position":"last","author":{"id":"https://openalex.org/A5003504954","display_name":"Michel Verhaegen","orcid":"https://orcid.org/0000-0002-7967-6884"},"institutions":[{"id":"https://openalex.org/I98358874","display_name":"Delft University of Technology","ror":"https://ror.org/02e2c7k09","country_code":"NL","type":"education","lineage":["https://openalex.org/I98358874"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Michel Verhaegen","raw_affiliation_string":"[Delft Center for Systems and Control, Delft University, Delft, Netherlands]","raw_affiliation_strings":["[Delft Center for Systems and Control, Delft University, Delft, Netherlands]"]}],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":20,"cited_by_percentile_year":{"min":91,"max":92},"biblio":{"volume":"56","issue":"3","first_page":"516","last_page":"530"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Networked Control Systems","score":0.9996,"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":"Networked Control Systems","score":0.9996,"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/T11110","display_name":"Analysis and Control of Distributed Parameter Systems","score":0.9992,"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/T12772","display_name":"Modeling and Control of Port-Hamiltonian Systems","score":0.9984,"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":[{"keyword":"control","score":0.4236},{"keyword":"multiple dimensions","score":0.3873}],"concepts":[{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.513323},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4806446},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.45438018},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4512389},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.41511998},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3785098},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3502764},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3449012},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24422112},{"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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2063230","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"referenced_works_count":48,"referenced_works":["https://openalex.org/W1483804921","https://openalex.org/W1766302165","https://openalex.org/W1978348066","https://openalex.org/W1987168303","https://openalex.org/W1988697047","https://openalex.org/W1989076115","https://openalex.org/W1995258411","https://openalex.org/W2000118250","https://openalex.org/W2019139897","https://openalex.org/W2033503672","https://openalex.org/W2039867272","https://openalex.org/W2040859638","https://openalex.org/W2041882293","https://openalex.org/W2050354342","https://openalex.org/W2077839636","https://openalex.org/W2079160584","https://openalex.org/W2081468738","https://openalex.org/W2088872157","https://openalex.org/W2101516301","https://openalex.org/W2103860386","https://openalex.org/W2104359570","https://openalex.org/W2108002190","https://openalex.org/W2111836897","https://openalex.org/W2112145895","https://openalex.org/W2114349947","https://openalex.org/W2114867824","https://openalex.org/W2115780969","https://openalex.org/W2127143565","https://openalex.org/W2128834174","https://openalex.org/W2131125270","https://openalex.org/W2136598296","https://openalex.org/W2137006204","https://openalex.org/W2137359358","https://openalex.org/W2138430986","https://openalex.org/W2147961437","https://openalex.org/W2150312211","https://openalex.org/W2150318785","https://openalex.org/W2152262016","https://openalex.org/W2153568471","https://openalex.org/W2159742379","https://openalex.org/W2160193545","https://openalex.org/W2166778103","https://openalex.org/W2169488608","https://openalex.org/W2178909929","https://openalex.org/W2335845542","https://openalex.org/W4230055331","https://openalex.org/W4230598837","https://openalex.org/W4243999352"],"related_works":["https://openalex.org/W2356056792","https://openalex.org/W1580435510","https://openalex.org/W1985684185","https://openalex.org/W1970101876","https://openalex.org/W1607154928","https://openalex.org/W1971514761","https://openalex.org/W2323168379","https://openalex.org/W1998291518","https://openalex.org/W2080397230","https://openalex.org/W2085026217"],"ngrams_url":"https://api.openalex.org/works/W2167799507/ngrams","abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,30],"problem":[3],"of":[4,8,40,96],"analysis":[5,54,116],"and":[6,43,46,49,55,62,83,117],"control":[7],"discretely":[9],"distributed":[10,69],"systems":[11,18,125],"in":[12,19,87],"multidimensional":[13,124],"arrays.":[14],"For":[15],"spatially":[16],"invariant":[17],"one":[20],"spatial":[21],"dimension,":[22],"we":[23],"build":[24,79],"an":[25,80],"efficient":[26,81],"arithmetic":[27,82],"that":[28],"preserves":[29],"rational":[31,103],"Laurent":[32,100],"operator":[33],"structure,":[34],"leading":[35],"to":[36,78,105],"fast":[37],"iterative":[38],"methods":[39],"solving":[41],"Lyapunov":[42],"Riccati":[44],"equations":[45],"block":[47],"diagonalizations,":[48],"thus":[50],"arbitrarily":[51],"non-conservative":[52],"stability":[53],"H":[58,65],"2":[61],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e":[68],"controller":[70,84,118],"synthesis.":[71],"These":[72],"one-dimensional":[73],"results":[74],"are":[75,131],"then":[76],"used":[77],"synthesis":[85,119],"procedure":[86,111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n":[90],"-dimensions":[91],"by":[92],"induction.":[93],"The":[94,129],"extension":[95],"these":[97],"techniques":[98],"from":[99],"operators":[101],"with":[102,126],"symbols":[104],"sequentially":[106],"semi-separable":[107],"matrices":[108],"yields":[109],"a":[110],"for":[112,120],"linear":[113],"computational":[114,135],"complexity":[115],"finite":[121],"extent":[122],"heterogeneous":[123],"boundary":[127],"conditions.":[128],"procedures":[130],"demonstrated":[132],"on":[133],"two":[134],"examples.":[136]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2167799507","counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2024-03-01T01:01:39.108715","created_date":"2016-06-24"}