{"id":"https://openalex.org/W1978373178","doi":"https://doi.org/10.1109/cdc.2011.6160471","title":"On network stability, graph separation, interconnection structure and convex shells","display_name":"On network stability, graph separation, interconnection structure and convex shells","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W1978373178","doi":"https://doi.org/10.1109/cdc.2011.6160471","mag":"1978373178"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2011.6160471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160471","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082551328","display_name":"Ioannis Lestas","orcid":"https://orcid.org/0000-0002-7739-949X"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Ioannis Lestas","raw_affiliation_strings":["Department of Engineering, University of Cambridge, Cambridge, UK","Department of Engineering, University of Cambridge, CB2 1PZ, UK"],"affiliations":[{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Department of Engineering, University of Cambridge, CB2 1PZ, UK","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082551328"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":0.2668,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.57387631,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"4257","last_page":"4263"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9979000091552734,"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"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9979000091552734,"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":0.9921000003814697,"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":0.9876000285148621,"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/interconnection","display_name":"Interconnection","score":0.8687502145767212},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6842751502990723},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5833774209022522},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.537612795829773},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5152378678321838},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4729211926460266},{"id":"https://openalex.org/keywords/separation","display_name":"Separation (statistics)","score":0.46044883131980896},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.44845008850097656},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41525888442993164},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3143729865550995},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2568851709365845},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1506749987602234},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06499391794204712},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.06337791681289673}],"concepts":[{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.8687502145767212},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6842751502990723},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5833774209022522},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.537612795829773},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5152378678321838},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4729211926460266},{"id":"https://openalex.org/C2776061190","wikidata":"https://www.wikidata.org/wiki/Q7451805","display_name":"Separation (statistics)","level":2,"score":0.46044883131980896},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.44845008850097656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41525888442993164},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3143729865550995},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2568851709365845},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1506749987602234},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06499391794204712},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.06337791681289673},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/cdc.2011.6160471","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2011.6160471","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:CiteSeerX.psu:10.1.1.885.5456","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.885.5456","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.nt.ntnu.no/users/skoge/prost/proceedings/cdc-ecc-2011/data/papers/0539.pdf","raw_type":"text"},{"id":"pmh:oai:generic.eprints.org:505599","is_oa":false,"landing_page_url":"http://publications.eng.cam.ac.uk/505599/","pdf_url":null,"source":{"id":"https://openalex.org/S4406922847","display_name":"Cambridge University Engineering Department Publications Database","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":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference or Workshop Item"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W624966451","https://openalex.org/W1488435683","https://openalex.org/W1489329869","https://openalex.org/W1572996156","https://openalex.org/W1978373178","https://openalex.org/W1994640024","https://openalex.org/W2000806307","https://openalex.org/W2026769037","https://openalex.org/W2029402321","https://openalex.org/W2036364567","https://openalex.org/W2070878741","https://openalex.org/W2072557639","https://openalex.org/W2094122256","https://openalex.org/W2097944741","https://openalex.org/W2120966441","https://openalex.org/W2127768514","https://openalex.org/W2137331053","https://openalex.org/W2139799159","https://openalex.org/W2146890818","https://openalex.org/W2151779884","https://openalex.org/W2156834253","https://openalex.org/W2172498959","https://openalex.org/W2476238858","https://openalex.org/W2561646501","https://openalex.org/W3151291936","https://openalex.org/W4243451460","https://openalex.org/W4249667877","https://openalex.org/W4296180618","https://openalex.org/W6629065738","https://openalex.org/W6650466926","https://openalex.org/W7052662973"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2348092930","https://openalex.org/W2014709025","https://openalex.org/W1872974041","https://openalex.org/W1978918876","https://openalex.org/W4386395423","https://openalex.org/W4366562581","https://openalex.org/W2049589989"],"abstract_inverted_index":{"We":[0,11,52],"consider":[1],"a":[2],"large":[3],"scale":[4],"network":[5],"comprised":[6],"of":[7,18,64,76,82],"heterogeneous":[8],"dynamical":[9],"components.":[10],"derive":[12],"conditions":[13,40,79],"on":[14,43],"the":[15,23,31,62,73,77],"input/output":[16],"properties":[17],"locally":[19],"defined":[20],"subsystems":[21],"within":[22],"network,":[24],"such":[25],"that":[26,47],"if":[27],"these":[28,65],"are":[29,41,86],"satisfied":[30],"entire":[32],"interconnection":[33,55],"is":[34],"guaranteed":[35],"to":[36,49,69],"be":[37,58],"stable.":[38],"The":[39],"based":[42],"appropriately":[44],"constructed":[45],"functionals":[46,66],"lead":[48],"graph":[50],"separation.":[51],"illustrate":[53],"how":[54],"structure":[56],"can":[57],"exploited":[59],"when":[60],"determining":[61],"form":[63],"so":[67],"as":[68],"reduce":[70],"conservatism":[71],"in":[72],"certificates.":[74],"Interpretations":[75],"stability":[78],"by":[80],"means":[81],"disjoint":[83],"convex":[84],"shells":[85],"also":[87],"discussed.":[88]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
