{"id":"https://openalex.org/W2317288833","doi":"https://doi.org/10.1109/ecc.2014.6862438","title":"On the discretisation of sparse linear systems","display_name":"On the discretisation of sparse linear systems","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W2317288833","doi":"https://doi.org/10.1109/ecc.2014.6862438","mag":"2317288833"},"language":"en","primary_location":{"id":"doi:10.1109/ecc.2014.6862438","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2014.6862438","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 European Control Conference (ECC)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5008801364","display_name":"Matheus Souza","orcid":"https://orcid.org/0000-0002-1538-3361"},"institutions":[{"id":"https://openalex.org/I157286207","display_name":"National University of Ireland, Maynooth","ror":"https://ror.org/048nfjm95","country_code":"IE","type":"education","lineage":["https://openalex.org/I157286207"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Matheus Souza","raw_affiliation_strings":["Hamilton Institute, National University of Ireland Maynooth, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hamilton Institute, National University of Ireland Maynooth, Ireland","institution_ids":["https://openalex.org/I157286207"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040697072","display_name":"Jos\u00e9 C. Geromel","orcid":"https://orcid.org/0000-0002-4961-3428"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jose C. Geromel","raw_affiliation_strings":["School of Electrical and Computer Engineering (FEEC), Univeristy of Campinas (UNICAMP), Campinas, SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering (FEEC), Univeristy of Campinas (UNICAMP), Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067595796","display_name":"Patrizio Colaneri","orcid":"https://orcid.org/0000-0002-6465-0737"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Patrizio Colaneri","raw_affiliation_strings":["Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milan, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036373073","display_name":"Robert Shorten","orcid":"https://orcid.org/0000-0002-9239-2499"},"institutions":[{"id":"https://openalex.org/I4210145784","display_name":"IBM Research - Ireland","ror":"https://ror.org/04jnxr720","country_code":"IE","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210145784"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Robert N. Shorten","raw_affiliation_strings":["IBM Research Ireland, Politecnico di Milano, Dublin, Ireland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research Ireland, Politecnico di Milano, Dublin, Ireland","institution_ids":["https://openalex.org/I4210145784"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":null,"first_page":"37","last_page":"42"},"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":0.9998999834060669,"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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9990000128746033,"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":0.9987000226974487,"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/discretization","display_name":"Discretization","score":0.8993675708770752},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5712474584579468},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5532063841819763},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5530388355255127},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5526686906814575},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5305381417274475},{"id":"https://openalex.org/keywords/discretization-error","display_name":"Discretization error","score":0.5169022083282471},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.5023589134216309},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4858236312866211},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.45616796612739563},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43793758749961853},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.43062829971313477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38583943247795105},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36111369729042053},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.07360684871673584}],"concepts":[{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.8993675708770752},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5712474584579468},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5532063841819763},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5530388355255127},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5526686906814575},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5305381417274475},{"id":"https://openalex.org/C126148662","wikidata":"https://www.wikidata.org/wiki/Q3890355","display_name":"Discretization error","level":3,"score":0.5169022083282471},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.5023589134216309},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4858236312866211},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.45616796612739563},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43793758749961853},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.43062829971313477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38583943247795105},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36111369729042053},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.07360684871673584},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"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/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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ecc.2014.6862438","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ecc.2014.6862438","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 European Control Conference (ECC)","raw_type":"proceedings-article"},{"id":"pmh:oai:re.public.polimi.it:11311/868389","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/868389","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"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":24,"referenced_works":["https://openalex.org/W83533993","https://openalex.org/W1511275238","https://openalex.org/W1522531528","https://openalex.org/W1543255995","https://openalex.org/W1571489362","https://openalex.org/W1868258070","https://openalex.org/W1938103316","https://openalex.org/W1993014453","https://openalex.org/W1993630023","https://openalex.org/W2003732027","https://openalex.org/W2016918229","https://openalex.org/W2022224792","https://openalex.org/W2052334067","https://openalex.org/W2065770780","https://openalex.org/W2071878037","https://openalex.org/W2073540225","https://openalex.org/W2106565812","https://openalex.org/W2164598443","https://openalex.org/W2168628533","https://openalex.org/W2498647973","https://openalex.org/W2527081555","https://openalex.org/W4213122800","https://openalex.org/W4235143360","https://openalex.org/W4301621763"],"related_works":["https://openalex.org/W37066597","https://openalex.org/W2230606337","https://openalex.org/W2032573849","https://openalex.org/W2330535098","https://openalex.org/W1541871911","https://openalex.org/W140420611","https://openalex.org/W4250831671","https://openalex.org/W847258906","https://openalex.org/W2541737411","https://openalex.org/W2087283353"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,34,38,70],"discretisation":[4,11],"problem":[5,57],"for":[6,69,74],"sparse":[7],"linear":[8],"systems.":[9],"Classical":[10],"methods":[12],"usually":[13],"destroy":[14],"sparsity":[15,45],"patterns":[16],"of":[17,77],"continuous-time":[18],"systems,":[19],"since":[20],"they":[21],"do":[22],"not":[23],"consider":[24],"structural":[25],"constraints.":[26,53],"We":[27],"develop":[28],"an":[29],"optimisation":[30,62],"procedure":[31],"that":[32,79],"yields":[33],"best":[35],"approximation":[36,71],"to":[37,49],"discrete-time":[39],"dynamical":[40],"matrix":[41],"with":[42],"a":[43],"prescribed":[44],"pattern":[46],"and":[47,51],"subject":[48],"stability":[50],"other":[52],"By":[54],"formulating":[55],"this":[56],"adequately,":[58],"tools":[59],"from":[60],"convex":[61],"can":[63],"be":[64],"then":[65],"applied.":[66],"Error":[67],"bounds":[68],"are":[72,86],"provided":[73],"special":[75],"classes":[76],"matrices":[78],"arise":[80],"in":[81],"practical":[82],"applications.":[83],"Numerical":[84],"examples":[85],"included.":[87]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
