{"id":"https://openalex.org/W2046830398","doi":"https://doi.org/10.1109/tac.2013.2275666","title":"Upper and Lower Bounds for Controllable Subspaces of Networks of Diffusively Coupled Agents","display_name":"Upper and Lower Bounds for Controllable Subspaces of Networks of Diffusively Coupled Agents","publication_year":2013,"publication_date":"2013-07-30","ids":{"openalex":"https://openalex.org/W2046830398","doi":"https://doi.org/10.1109/tac.2013.2275666","mag":"2046830398"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2013.2275666","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2275666","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":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.rug.nl/en/publications/9cfa1dde-05c6-47a0-a226-8493b6e2bd7b","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100450365","display_name":"Shuo Zhang","orcid":"https://orcid.org/0000-0002-2824-618X"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Shuo Zhang","raw_affiliation_strings":["University of Groningen, Research Institute of Industrial Technology and Management, Groningen, The Netherlands","Res. Inst. of Ind. Technol. & Manage., Univ. of Groningen, Groningen, Netherlands"],"affiliations":[{"raw_affiliation_string":"University of Groningen, Research Institute of Industrial Technology and Management, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"Res. Inst. of Ind. Technol. & Manage., Univ. of Groningen, Groningen, Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021403340","display_name":"Ming Cao","orcid":"https://orcid.org/0000-0001-5472-562X"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ming Cao","raw_affiliation_strings":["University of Groningen, Research Institute of Industrial Technology and Management, Groningen, The Netherlands","Res. Inst. of Ind. Technol. & Manage., Univ. of Groningen, Groningen, Netherlands"],"affiliations":[{"raw_affiliation_string":"University of Groningen, Research Institute of Industrial Technology and Management, Groningen, The Netherlands","institution_ids":["https://openalex.org/I169381384"]},{"raw_affiliation_string":"Res. Inst. of Ind. Technol. & Manage., Univ. of Groningen, Groningen, Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000993019","display_name":"M. Kanat Camlibel","orcid":"https://orcid.org/0000-0002-2407-8166"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]},{"id":"https://openalex.org/I129994210","display_name":"Do\u011fu\u015f University","ror":"https://ror.org/0272rjm42","country_code":"TR","type":"education","lineage":["https://openalex.org/I129994210"]}],"countries":["NL","TR"],"is_corresponding":false,"raw_author_name":"M. Kanat Camlibel","raw_affiliation_strings":["Department of Electronics and Communication Engineering, Dogus University, Istanbul, Turkey","Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands"],"affiliations":[{"raw_affiliation_string":"Department of Electronics and Communication Engineering, Dogus University, Istanbul, Turkey","institution_ids":["https://openalex.org/I129994210"]},{"raw_affiliation_string":"Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100450365"],"corresponding_institution_ids":["https://openalex.org/I169381384"],"apc_list":null,"apc_paid":null,"fwci":7.1783,"has_fulltext":false,"cited_by_count":140,"citation_normalized_percentile":{"value":0.97304415,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"59","issue":"3","first_page":"745","last_page":"750"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9970999956130981,"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"}},{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/controllability","display_name":"Controllability","score":0.8984456658363342},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.7057212591171265},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6811288595199585},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6422415971755981},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5143154859542847},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5134330987930298},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4827370047569275},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4609234035015106},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4484279155731201},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42247438430786133},{"id":"https://openalex.org/keywords/graph-partition","display_name":"Graph partition","score":0.41549721360206604},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3780585527420044},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36314430832862854},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.27251794934272766},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.17148324847221375},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.11330351233482361}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8984456658363342},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.7057212591171265},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6811288595199585},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6422415971755981},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5143154859542847},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5134330987930298},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4827370047569275},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4609234035015106},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4484279155731201},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42247438430786133},{"id":"https://openalex.org/C48903430","wikidata":"https://www.wikidata.org/wiki/Q491370","display_name":"Graph partition","level":3,"score":0.41549721360206604},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3780585527420044},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36314430832862854},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.27251794934272766},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.17148324847221375},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.11330351233482361},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tac.2013.2275666","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2013.2275666","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:pure.rug.nl:openaire/9cfa1dde-05c6-47a0-a226-8493b6e2bd7b","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/9cfa1dde-05c6-47a0-a226-8493b6e2bd7b","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Zhang, S, Cao, M & Camlibel, M K 2014, 'Upper and Lower Bounds for Controllable Subspaces of Networks of Diffusively Coupled Agents', IEEE Transactions on Automatic Control, vol. 59, no. 3, pp. 745-750. https://doi.org/10.1109/TAC.2013.2275666","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:openaccess.dogus.edu.tr:11376/1833","is_oa":true,"landing_page_url":"http://hdl.handle.net/11376/1833","pdf_url":null,"source":{"id":"https://openalex.org/S4306401051","display_name":"Dogus University Institutional Repository (Dogus University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I129994210","host_organization_name":"Do\u011fu\u015f University","host_organization_lineage":["https://openalex.org/I129994210"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"article"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/9cfa1dde-05c6-47a0-a226-8493b6e2bd7b","is_oa":true,"landing_page_url":"https://hdl.handle.net/11370/9cfa1dde-05c6-47a0-a226-8493b6e2bd7b","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Zhang, S, Cao, M & Camlibel, M K 2014, 'Upper and Lower Bounds for Controllable Subspaces of Networks of Diffusively Coupled Agents', IEEE Transactions on Automatic Control, vol. 59, no. 3, pp. 745-750. https://doi.org/10.1109/TAC.2013.2275666","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:pure.rug.nl:openaire/9cfa1dde-05c6-47a0-a226-8493b6e2bd7b","is_oa":true,"landing_page_url":"https://research.rug.nl/en/publications/9cfa1dde-05c6-47a0-a226-8493b6e2bd7b","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Zhang, S, Cao, M & Camlibel, M K 2014, 'Upper and Lower Bounds for Controllable Subspaces of Networks of Diffusively Coupled Agents', IEEE Transactions on Automatic Control, vol. 59, no. 3, pp. 745-750. https://doi.org/10.1109/TAC.2013.2275666","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W261461018","https://openalex.org/W613360614","https://openalex.org/W1040735863","https://openalex.org/W1512304705","https://openalex.org/W1788292158","https://openalex.org/W1963649370","https://openalex.org/W1977594883","https://openalex.org/W1985952348","https://openalex.org/W1990032525","https://openalex.org/W2007842057","https://openalex.org/W2014852430","https://openalex.org/W2023648368","https://openalex.org/W2048639476","https://openalex.org/W2062745455","https://openalex.org/W2074978629","https://openalex.org/W2103453719","https://openalex.org/W2105837036","https://openalex.org/W2117817591","https://openalex.org/W2118909312","https://openalex.org/W2126826802","https://openalex.org/W2137606072","https://openalex.org/W2156488704","https://openalex.org/W2183751451","https://openalex.org/W3100828956","https://openalex.org/W3102587215","https://openalex.org/W4293176479","https://openalex.org/W6653982709"],"related_works":["https://openalex.org/W2108916035","https://openalex.org/W1979504938","https://openalex.org/W2166810599","https://openalex.org/W2106235829","https://openalex.org/W1517085616","https://openalex.org/W3139829055","https://openalex.org/W2809232301","https://openalex.org/W2583811263","https://openalex.org/W3134869969","https://openalex.org/W2782513589"],"abstract_inverted_index":{"This":[0],"technical":[1],"note":[2],"studies":[3],"the":[4,17,68,74,78,91],"controllability":[5,41],"of":[6,19,73,103],"diffusively":[7],"coupled":[8],"networks":[9,26,52],"where":[10,27],"some":[11],"agents,":[12],"called":[13],"leaders,":[14],"are":[15],"under":[16],"influence":[18],"external":[20],"control":[21],"inputs.":[22],"First,":[23],"we":[24,34,50,61],"consider":[25,51],"agents":[28,54],"have":[29],"general":[30],"linear":[31],"dynamics.":[32,57],"Then,":[33],"turn":[35],"our":[36],"attention":[37],"to":[38],"infer":[39],"network":[40],"from":[42],"its":[43],"underlying":[44],"graph":[45,99],"topology.":[46],"To":[47],"do":[48],"this,":[49],"with":[53],"having":[55],"single-integrator":[56],"For":[58],"such":[59],"networks,":[60],"provide":[62,86],"lower":[63],"and":[64,77,100],"upper":[65],"bounds":[66],"for":[67,89,96],"controllable":[69],"subspaces":[70],"in":[71],"terms":[72],"distance":[75],"partitions":[76],"maximal":[79,92],"almost":[80,93],"equitable":[81,94],"partitions,":[82],"respectively.":[83],"We":[84],"also":[85],"an":[87],"algorithm":[88],"computing":[90],"partition":[95],"a":[97,101],"given":[98],"set":[102],"leaders.":[104]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":17},{"year":2019,"cited_by_count":24},{"year":2018,"cited_by_count":19},{"year":2017,"cited_by_count":15},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
