{"id":"https://openalex.org/W2063776127","doi":"https://doi.org/10.1109/cdc.2011.6161286","title":"Observability and reachability of grid graphs via reduction and symmetries","display_name":"Observability and reachability of grid graphs via reduction and symmetries","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2063776127","doi":"https://doi.org/10.1109/cdc.2011.6161286","mag":"2063776127"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6161286","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161286","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/3430226","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017893179","display_name":"Giuseppe Notarstefano","orcid":"https://orcid.org/0000-0002-0906-7848"},"institutions":[{"id":"https://openalex.org/I4210096856","display_name":"Innovation Engineering (Italy)","ror":"https://ror.org/00sxjp357","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210096856"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Giuseppe Notarstefano","raw_affiliation_strings":["Department of Engineering, University of Lecce, Lecce, Italy","Department of Engineering, University of Lecce, Via per Monteroni, 73100, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Lecce, Lecce, Italy","institution_ids":["https://openalex.org/I4210096856"]},{"raw_affiliation_string":"Department of Engineering, University of Lecce, Via per Monteroni, 73100, Italy","institution_ids":["https://openalex.org/I4210096856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007835571","display_name":"Gianfranco Parlangeli","orcid":"https://orcid.org/0000-0003-4991-3698"},"institutions":[{"id":"https://openalex.org/I4210096856","display_name":"Innovation Engineering (Italy)","ror":"https://ror.org/00sxjp357","country_code":"IT","type":"company","lineage":["https://openalex.org/I4210096856"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Gianfranco Parlangeli","raw_affiliation_strings":["Department of Engineering, University of Lecce, Lecce, Italy","Department of Engineering, University of Lecce, Via per Monteroni, 73100, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Lecce, Lecce, Italy","institution_ids":["https://openalex.org/I4210096856"]},{"raw_affiliation_string":"Department of Engineering, University of Lecce, Via per Monteroni, 73100, Italy","institution_ids":["https://openalex.org/I4210096856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5017893179"],"corresponding_institution_ids":["https://openalex.org/I4210096856"],"apc_list":null,"apc_paid":null,"fwci":3.1507,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.91859778,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"5923","last_page":"5928"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9995999932289124,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9995999932289124,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9968000054359436,"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":0.9904000163078308,"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/observability","display_name":"Observability","score":0.952285647392273},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.9041284322738647},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.6171307563781738},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6051958203315735},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.59482342004776},{"id":"https://openalex.org/keywords/reachability-problem","display_name":"Reachability problem","score":0.5285719037055969},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.48965030908584595},{"id":"https://openalex.org/keywords/lattice-graph","display_name":"Lattice graph","score":0.48852217197418213},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46249058842658997},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.416472852230072},{"id":"https://openalex.org/keywords/homogeneous-space","display_name":"Homogeneous space","score":0.412501722574234},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3461032509803772},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34280526638031006},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.15900340676307678},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.1375894844532013},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.07615470886230469},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.07142016291618347}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.952285647392273},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.9041284322738647},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.6171307563781738},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6051958203315735},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.59482342004776},{"id":"https://openalex.org/C2777669093","wikidata":"https://www.wikidata.org/wiki/Q17141570","display_name":"Reachability problem","level":3,"score":0.5285719037055969},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.48965030908584595},{"id":"https://openalex.org/C145580432","wikidata":"https://www.wikidata.org/wiki/Q6497118","display_name":"Lattice graph","level":5,"score":0.48852217197418213},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46249058842658997},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.416472852230072},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.412501722574234},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3461032509803772},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34280526638031006},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.15900340676307678},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.1375894844532013},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07615470886230469},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.07142016291618347},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2011.6161286","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6161286","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Conference on Decision and Control and European Control Conference","raw_type":"proceedings-article"},{"id":"pmh:oai:cris.unibo.it:11585/671963","is_oa":false,"landing_page_url":"http://hdl.handle.net/11585/671963","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:zenodo.org:3430226","is_oa":true,"landing_page_url":"https://zenodo.org/record/3430226","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:3430226","is_oa":true,"landing_page_url":"https://zenodo.org/record/3430226","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W613360614","https://openalex.org/W1963649370","https://openalex.org/W1977594883","https://openalex.org/W1999823604","https://openalex.org/W2003623802","https://openalex.org/W2072903734","https://openalex.org/W2112668583","https://openalex.org/W2126826802","https://openalex.org/W2128448454","https://openalex.org/W2143621160","https://openalex.org/W2145291156","https://openalex.org/W2147540630","https://openalex.org/W2150135842","https://openalex.org/W2156488704","https://openalex.org/W2160643434","https://openalex.org/W2167726280","https://openalex.org/W2613784664","https://openalex.org/W2950380333","https://openalex.org/W6668743385","https://openalex.org/W6677201265","https://openalex.org/W6682417862"],"related_works":["https://openalex.org/W2791750487","https://openalex.org/W1606997444","https://openalex.org/W2138317614","https://openalex.org/W1884874476","https://openalex.org/W2153544183","https://openalex.org/W2047831585","https://openalex.org/W4253760428","https://openalex.org/W2099490078","https://openalex.org/W3208672221","https://openalex.org/W3017277461"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,31,62],"investigate":[4],"the":[5,22,33,36,45,59,73,77,85,97,100,106],"observability":[6,101],"and":[7,54,65,71,88],"reachability":[8],"properties":[9],"of":[10,35,41,44,58,99,105],"a":[11,15,26],"network":[12,78],"system,":[13],"running":[14],"Laplacian":[16],"based":[17,50],"average":[18],"consensus":[19],"algorithm,":[20],"when":[21],"communication":[23],"graph":[24],"is":[25,80],"grid.":[27,107],"More":[28],"in":[29],"detail,":[30],"characterize":[32,69],"structure":[34],"grid":[37],"eigenvectors":[38],"by":[39],"means":[40],"suitable":[42,56,91],"decompositions":[43],"graph.":[46],"For":[47],"each":[48],"eigenvalue,":[49],"on":[51,55],"its":[52],"multiplicity":[53],"symmetries":[57],"corresponding":[60],"eigenvectors,":[61],"provide":[63],"necessary":[64],"sufficient":[66],"conditions":[67],"to":[68],"all":[70],"only":[72],"nodes":[74],"from":[75],"which":[76],"system":[79],"observable":[81],"(reachable).":[82],"We":[83],"discuss":[84],"proposed":[86],"criteria":[87,95],"show,":[89],"through":[90],"examples,":[92],"how":[93],"such":[94],"reduce":[96],"complexity":[98],"(respectively":[102],"reachability)":[103],"analysis":[104]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
