{"id":"https://openalex.org/W1996839950","doi":"https://doi.org/10.1109/tac.2013.2250075","title":"Zero Forcing, Linear and Quantum Controllability for Systems Evolving on Networks","display_name":"Zero Forcing, Linear and Quantum Controllability for Systems Evolving on Networks","publication_year":2013,"publication_date":"2013-08-15","ids":{"openalex":"https://openalex.org/W1996839950","doi":"https://doi.org/10.1109/tac.2013.2250075","mag":"1996839950"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2250075","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2250075","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,"is_core":true,"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,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1111.1475","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044459179","display_name":"Daniel Burgarth","orcid":"https://orcid.org/0000-0003-4063-1264"},"institutions":[{"id":"https://openalex.org/I16038530","display_name":"Aberystwyth University","ror":"https://ror.org/015m2p889","country_code":"GB","type":"education","lineage":["https://openalex.org/I16038530"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Daniel Burgarth","raw_affiliation_strings":["Institute of Mathematics and Physics, Aberystwyth University, Aberystwyth, United Kingdom","Inst. of Math. & Phys., Aberystwyth Univ., Aberystwyth, UK"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Physics, Aberystwyth University, Aberystwyth, United Kingdom","institution_ids":["https://openalex.org/I16038530"]},{"raw_affiliation_string":"Inst. of Math. & Phys., Aberystwyth Univ., Aberystwyth, UK","institution_ids":["https://openalex.org/I16038530"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008152552","display_name":"Domenico D\u2019Alessandro","orcid":"https://orcid.org/0000-0003-0179-7157"},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Domenico D'Alessandro","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA, USA","Dept. of Math., Iowa State Univ., Ames, IA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA, USA","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Dept. of Math., Iowa State Univ., Ames, IA, USA#TAB#","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032984256","display_name":"Leslie Hogben","orcid":"https://orcid.org/0000-0003-1673-3789"},"institutions":[{"id":"https://openalex.org/I1336492463","display_name":"American Institute of Mathematics","ror":"https://ror.org/02a0fwv66","country_code":"US","type":"funder","lineage":["https://openalex.org/I1311060795","https://openalex.org/I1336492463"]},{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Leslie Hogben","raw_affiliation_strings":["American Institute of Mathematics, Palo Alto, CA, USA","Dept. of Math., Iowa State Univ., Ames, IA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"American Institute of Mathematics, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I1336492463"]},{"raw_affiliation_string":"Dept. of Math., Iowa State Univ., Ames, IA, USA#TAB#","institution_ids":["https://openalex.org/I173911158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064938440","display_name":"Simone Severini","orcid":"https://orcid.org/0000-0001-7305-6759"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Simone Severini","raw_affiliation_strings":["Department of Computer Science, University College London, London, United Kingdom","Dept. of Comput. Sci., Univ. Coll. London, London, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University College London, London, United Kingdom","institution_ids":["https://openalex.org/I45129253"]},{"raw_affiliation_string":"Dept. of Comput. Sci., Univ. Coll. London, London, UK#TAB#","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103173932","display_name":"Michael Young","orcid":null},"institutions":[{"id":"https://openalex.org/I173911158","display_name":"Iowa State University","ror":"https://ror.org/04rswrd78","country_code":"US","type":"education","lineage":["https://openalex.org/I173911158"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Young","raw_affiliation_strings":["Department of Mathematics, Iowa State University, Ames, IA, USA","Dept. of Math., Iowa State Univ., Ames, IA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Iowa State University, Ames, IA, USA","institution_ids":["https://openalex.org/I173911158"]},{"raw_affiliation_string":"Dept. of Math., Iowa State Univ., Ames, IA, USA#TAB#","institution_ids":["https://openalex.org/I173911158"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5044459179"],"corresponding_institution_ids":["https://openalex.org/I16038530"],"apc_list":null,"apc_paid":null,"fwci":12.3559,"has_fulltext":true,"cited_by_count":78,"citation_normalized_percentile":{"value":0.98468428,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"58","issue":"9","first_page":"2349","last_page":"2354"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9936000108718872,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9815999865531921,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.9302375316619873},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6065264344215393},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5833419561386108},{"id":"https://openalex.org/keywords/forcing","display_name":"Forcing (mathematics)","score":0.553861141204834},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.44613462686538696},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4397454857826233},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3917458653450012},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3450945019721985},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2969016432762146},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.27711257338523865},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1537054181098938},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11777988076210022},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.10406690835952759},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08611437678337097}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.9302375316619873},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6065264344215393},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5833419561386108},{"id":"https://openalex.org/C197115733","wikidata":"https://www.wikidata.org/wiki/Q1003136","display_name":"Forcing (mathematics)","level":2,"score":0.553861141204834},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.44613462686538696},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4397454857826233},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3917458653450012},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3450945019721985},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2969016432762146},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.27711257338523865},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1537054181098938},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11777988076210022},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10406690835952759},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08611437678337097},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/tac.2013.2250075","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2250075","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,"is_core":true,"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,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1111.1475","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1111.1475","pdf_url":"https://arxiv.org/pdf/1111.1475","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:aber.ac.uk:publications/a54d99c6-5972-417b-b4e7-b419c9c3c290","is_oa":true,"landing_page_url":null,"pdf_url":"https://pure.aber.ac.uk/portal/en/publications/zero-forcing-linear-and-quantum-controllability-for-systems-evolving-on-networks(a54d99c6-5972-417b-b4e7-b419c9c3c290).html","source":{"id":"https://openalex.org/S4306401660","display_name":"Aberystwyth Research portal (Aberystwyth University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I16038530","host_organization_name":"Aberystwyth University","host_organization_lineage":["https://openalex.org/I16038530"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:oai:lib.dr.iastate.edu:math_pubs-1069","is_oa":false,"landing_page_url":"https://lib.dr.iastate.edu/cgi/viewcontent.cgi?article=1069&context=math_pubs","pdf_url":null,"source":{"id":"https://openalex.org/S4377196104","display_name":"Iowa State University Digital Repository (Iowa State University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I173911158","host_organization_name":"Iowa State University","host_organization_lineage":["https://openalex.org/I173911158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics Publications","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.645.7465","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.645.7465","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://orion.math.iastate.edu/lhogben/research/ZFQC.pdf","raw_type":"text"},{"id":"pmh:oai:eprints.ucl.ac.uk.OAI2:1345896","is_oa":false,"landing_page_url":"http://discovery.ucl.ac.uk/1345896/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400024","display_name":"UCL Discovery (University College London)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45129253","host_organization_name":"University College London","host_organization_lineage":["https://openalex.org/I45129253"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"   IEEE TRANSACTIONS ON AUTOMATIC CONTROL , 58  (9)   pp. 2349-2354.   (2013)      ","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1111.1475","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1111.1475","pdf_url":"https://arxiv.org/pdf/1111.1475","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4788835274","display_name":null,"funder_award_id":"EP/F043678/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W652137832","https://openalex.org/W1540059687","https://openalex.org/W1555162093","https://openalex.org/W1565930783","https://openalex.org/W1630241696","https://openalex.org/W1969669782","https://openalex.org/W2004689433","https://openalex.org/W2004855787","https://openalex.org/W2013926299","https://openalex.org/W2015257569","https://openalex.org/W2015775746","https://openalex.org/W2056415888","https://openalex.org/W2057285417","https://openalex.org/W2061820396","https://openalex.org/W2064155562","https://openalex.org/W2066853877","https://openalex.org/W2088872141","https://openalex.org/W2101420429","https://openalex.org/W2107396783","https://openalex.org/W2147493617","https://openalex.org/W2175011670","https://openalex.org/W2501142942","https://openalex.org/W2798813531","https://openalex.org/W2951320239","https://openalex.org/W3101890301","https://openalex.org/W4232212779"],"related_works":["https://openalex.org/W2054831413","https://openalex.org/W1999673819","https://openalex.org/W1493380407","https://openalex.org/W3209184047","https://openalex.org/W4237454804","https://openalex.org/W1942635442","https://openalex.org/W2170835896","https://openalex.org/W1990421243","https://openalex.org/W2110547027","https://openalex.org/W2026024153"],"abstract_inverted_index":{"We":[0,66],"study":[1,123],"the":[2,20,38,43,51,58,70,80,93,103,108],"dynamics":[3],"of":[4,17,22,53,74,86,105],"systems":[5,114,118,129],"on":[6],"networks":[7],"from":[8],"a":[9,75,84,89],"linear":[10,54,112],"algebraic":[11,120],"perspective.":[12],"The":[13],"control":[14,113],"theoretic":[15,72],"concept":[16,73],"controllability":[18,36,49,59,81],"describes":[19],"set":[21,78,85],"states":[23],"that":[24,35],"can":[25],"be":[26],"reached":[27],"for":[28],"these":[29],"systems.":[30],"Our":[31],"main":[32],"result":[33],"says":[34],"in":[37,50],"quantum":[39,117,128,135],"sense,":[40],"expressed":[41,56],"by":[42,57,126],"Lie":[44,119],"algebra":[45],"rank":[46,61],"condition,":[47,62],"and":[48,116],"sense":[52],"systems,":[55],"matrix":[60],"are":[63],"equivalent":[64],"conditions.":[65],"also":[67],"investigate":[68],"how":[69],"graph":[71],"zero":[76,90],"forcing":[77,91],"impacts":[79],"property;":[82],"if":[83],"vertices":[87],"is":[88,97,124],"set,":[92],"associated":[94],"dynamical":[95],"system":[96],"controllable.":[98],"These":[99],"results":[100],"open":[101],"up":[102],"possibility":[104],"further":[106],"exploiting":[107],"analogy":[109],"between":[110],"networks,":[111],"theory,":[115],"theory.":[121],"This":[122],"motivated":[125],"several":[127],"currently":[130],"under":[131],"study,":[132],"including":[133],"continuous":[134],"walks":[136],"modeling":[137],"transport":[138],"phenomena.":[139]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
