{"id":"https://openalex.org/W3189000310","doi":"https://doi.org/10.1109/cdc45484.2021.9683703","title":"Algebraic and Graph-Theoretic Conditions for the Herdability of Linear Time-Invariant Systems","display_name":"Algebraic and Graph-Theoretic Conditions for the Herdability of Linear Time-Invariant Systems","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W3189000310","doi":"https://doi.org/10.1109/cdc45484.2021.9683703","mag":"3189000310"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9683703","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683703","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","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/A5088027101","display_name":"Giulia De Pasquale","orcid":"https://orcid.org/0000-0002-8587-967X"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giulia De Pasquale","raw_affiliation_strings":["Università di Padova,Dipartimento di Ingegneria Dell’Informazione,Padova,Italy,35131"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Università di Padova,Dipartimento di Ingegneria Dell’Informazione,Padova,Italy,35131","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064493313","display_name":"Maria Elena Valcher","orcid":"https://orcid.org/0000-0002-7595-3688"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Maria Elena Valcher","raw_affiliation_strings":["Università di Padova,Dipartimento di Ingegneria Dell’Informazione,Padova,Italy,35131"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Università di Padova,Dipartimento di Ingegneria Dell’Informazione,Padova,Italy,35131","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6184,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.52673267,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"5826","last_page":"5831"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9983999729156494,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9983999729156494,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9954000115394592,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9923999905586243,"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/orthant","display_name":"Orthant","score":0.8894476890563965},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.6538702249526978},{"id":"https://openalex.org/keywords/algebraic-graph-theory","display_name":"Algebraic graph theory","score":0.646031379699707},{"id":"https://openalex.org/keywords/algebraic-connectivity","display_name":"Algebraic connectivity","score":0.5616464018821716},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5245217084884644},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5146904587745667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5021600723266602},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.4707632064819336},{"id":"https://openalex.org/keywords/strongly-connected-component","display_name":"Strongly connected component","score":0.46028226613998413},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4507734775543213},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.44786566495895386},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4474117159843445},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.43628451228141785},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4329591989517212},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43068861961364746},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3999674916267395},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39872080087661743},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3969839811325073},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.2730504870414734},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24047085642814636},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.19785961508750916},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.19292914867401123}],"concepts":[{"id":"https://openalex.org/C2780016784","wikidata":"https://www.wikidata.org/wiki/Q2714507","display_name":"Orthant","level":2,"score":0.8894476890563965},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.6538702249526978},{"id":"https://openalex.org/C25799778","wikidata":"https://www.wikidata.org/wiki/Q4724003","display_name":"Algebraic graph theory","level":3,"score":0.646031379699707},{"id":"https://openalex.org/C7948225","wikidata":"https://www.wikidata.org/wiki/Q4723998","display_name":"Algebraic connectivity","level":4,"score":0.5616464018821716},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5245217084884644},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5146904587745667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5021600723266602},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.4707632064819336},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.46028226613998413},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4507734775543213},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.44786566495895386},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4474117159843445},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.43628451228141785},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4329591989517212},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43068861961364746},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3999674916267395},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39872080087661743},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3969839811325073},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.2730504870414734},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24047085642814636},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.19785961508750916},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.19292914867401123},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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":2,"locations":[{"id":"doi:10.1109/cdc45484.2021.9683703","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9683703","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:www.research.unipd.it:11577/3418947","is_oa":false,"landing_page_url":"http://hdl.handle.net/11577/3418947","pdf_url":null,"source":{"id":"https://openalex.org/S4306402547","display_name":"Padua Research Archive (University of Padova)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":23,"referenced_works":["https://openalex.org/W239577987","https://openalex.org/W1534430411","https://openalex.org/W1598648881","https://openalex.org/W1963649370","https://openalex.org/W1968425541","https://openalex.org/W1971788485","https://openalex.org/W1977594883","https://openalex.org/W1981066143","https://openalex.org/W1993346355","https://openalex.org/W2107326540","https://openalex.org/W2157290020","https://openalex.org/W2796759283","https://openalex.org/W2938997210","https://openalex.org/W2964278790","https://openalex.org/W2966901001","https://openalex.org/W2987025408","https://openalex.org/W3008813423","https://openalex.org/W3010883197","https://openalex.org/W3011241846","https://openalex.org/W3119887641","https://openalex.org/W3189000310","https://openalex.org/W4235143360","https://openalex.org/W4293232152"],"related_works":["https://openalex.org/W2111838183","https://openalex.org/W2954840567","https://openalex.org/W1964883026","https://openalex.org/W2112058052","https://openalex.org/W2070100393","https://openalex.org/W4286619720","https://openalex.org/W2955394380","https://openalex.org/W2972711374","https://openalex.org/W2560463610","https://openalex.org/W2000481360"],"abstract_inverted_index":{"In":[0,54,139],"this":[1,140],"paper":[2],"we":[3,33,56,85],"investigate":[4,34],"a":[5,20,74,114],"relaxed":[6],"concept":[7],"of":[8,19,28,101,157],"controllability,":[9],"known":[10],"in":[11,68,81,117,128],"the":[12,17,26,48,51,70,79,82,88,94,99,102,108,123,134,147,155,158],"literature":[13],"as":[14],"herdability,":[15],"namely":[16],"capability":[18],"system":[21,160],"to":[22,63,93],"be":[23],"driven":[24],"towards":[25],"(interior":[27],"the)":[29],"positive":[30],"orthant.":[31],"Specifically,":[32],"herdability":[35,100,109,156],"for":[36,111,133,154],"linear":[37,59],"time-invariant":[38],"systems,":[39],"both":[40],"from":[41],"an":[42,131],"algebraic":[43],"perspective":[44],"and":[45,84,122,151],"based":[46],"on":[47,58,107,146],"graph":[49],"representing":[50],"systems":[52,112],"interactions.":[53],"addition,":[55],"focus":[57,106],"state-space":[60],"models":[61],"corresponding":[62],"matrix":[64,71,76],"pairs":[65],"(A,":[66],"B)":[67],"which":[69,118,129],"B":[72],"is":[73,126,137],"selection":[75,136],"that":[77,87,90],"determines":[78],"leaders":[80,95],"network,":[83],"show":[86],"weights":[89],"followers":[91],"give":[92],"do":[96],"not":[97],"affect":[98],"system.":[103],"We":[104],"then":[105],"problem":[110],"with":[113],"single":[115],"leader":[116,135],"interactions":[119],"are":[120,161],"symmetric":[121],"network":[124],"topology":[125],"acyclic,":[127],"case":[130],"algorithm":[132],"provided.":[138],"context,":[141],"under":[142],"some":[143],"additional":[144],"conditions":[145,153],"mutual":[148],"distances,":[149],"necessary":[150],"sufficient":[152],"overall":[159],"given.":[162]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}