{"id":"https://openalex.org/W2782828920","doi":"https://doi.org/10.1109/tcsi.2018.2821124","title":"Toward Stronger Robustness of Network Controllability: A Snapback Network Model","display_name":"Toward Stronger Robustness of Network Controllability: A Snapback Network Model","publication_year":2018,"publication_date":"2018-04-16","ids":{"openalex":"https://openalex.org/W2782828920","doi":"https://doi.org/10.1109/tcsi.2018.2821124","mag":"2782828920"},"language":"en","primary_location":{"id":"doi:10.1109/tcsi.2018.2821124","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2018.2821124","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1801.06082","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074413224","display_name":"Yang Lou","orcid":"https://orcid.org/0000-0002-8839-8898"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Yang Lou","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0002-8839-8898","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100703488","display_name":"Lin Wang","orcid":"https://orcid.org/0000-0002-8374-8473"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Wang","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024633466","display_name":"Guanrong Chen","orcid":"https://orcid.org/0000-0003-1381-7418"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guanrong Chen","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0003-1381-7418","affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.7022,"has_fulltext":true,"cited_by_count":71,"citation_normalized_percentile":{"value":0.93873247,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"65","issue":"9","first_page":"2983","last_page":"2991"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9797999858856201,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9763000011444092,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7645084857940674},{"id":"https://openalex.org/keywords/average-path-length","display_name":"Average path length","score":0.6242192387580872},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.5925300717353821},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.542927622795105},{"id":"https://openalex.org/keywords/clustering-coefficient","display_name":"Clustering coefficient","score":0.5371995568275452},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5238045454025269},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5225733518600464},{"id":"https://openalex.org/keywords/snapback","display_name":"Snapback","score":0.49729517102241516},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.4807126820087433},{"id":"https://openalex.org/keywords/degree-distribution","display_name":"Degree distribution","score":0.44845718145370483},{"id":"https://openalex.org/keywords/cluster-analysis","display_name":"Cluster analysis","score":0.43778687715530396},{"id":"https://openalex.org/keywords/network-controllability","display_name":"Network controllability","score":0.4114436209201813},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.2971499562263489},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29089096188545227},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.239068865776062},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.18485698103904724},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.16871190071105957},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16813066601753235},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15904587507247925},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13544398546218872},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1033349335193634},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.08403879404067993}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7645084857940674},{"id":"https://openalex.org/C91886571","wikidata":"https://www.wikidata.org/wiki/Q432520","display_name":"Average path length","level":4,"score":0.6242192387580872},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.5925300717353821},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.542927622795105},{"id":"https://openalex.org/C22047676","wikidata":"https://www.wikidata.org/wiki/Q898680","display_name":"Clustering coefficient","level":3,"score":0.5371995568275452},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5238045454025269},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5225733518600464},{"id":"https://openalex.org/C2779888857","wikidata":"https://www.wikidata.org/wiki/Q18378810","display_name":"Snapback","level":4,"score":0.49729517102241516},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.4807126820087433},{"id":"https://openalex.org/C87414783","wikidata":"https://www.wikidata.org/wiki/Q1002603","display_name":"Degree distribution","level":3,"score":0.44845718145370483},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.43778687715530396},{"id":"https://openalex.org/C41982775","wikidata":"https://www.wikidata.org/wiki/Q7000977","display_name":"Network controllability","level":4,"score":0.4114436209201813},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2971499562263489},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29089096188545227},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.239068865776062},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.18485698103904724},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.16871190071105957},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16813066601753235},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15904587507247925},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13544398546218872},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1033349335193634},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.08403879404067993},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C205483674","wikidata":"https://www.wikidata.org/wiki/Q3574961","display_name":"Electrostatic discharge","level":3,"score":0.0},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.0},{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.0},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcsi.2018.2821124","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsi.2018.2821124","pdf_url":null,"source":{"id":"https://openalex.org/S116977442","display_name":"IEEE Transactions on Circuits and Systems I Regular Papers","issn_l":"1549-8328","issn":["1549-8328","1558-0806"],"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 Circuits and Systems I: Regular Papers","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1801.06082","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1801.06082","pdf_url":"https://arxiv.org/pdf/1801.06082","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1801.06082","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1801.06082","pdf_url":"https://arxiv.org/pdf/1801.06082","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/G1245535408","display_name":null,"funder_award_id":"17ZR1445200","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"},{"id":"https://openalex.org/G2540089741","display_name":null,"funder_award_id":"61473189","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5319040820","display_name":null,"funder_award_id":"17ZR1445200","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5526085210","display_name":null,"funder_award_id":"61473189","funder_id":"https://openalex.org/F4320309612","funder_display_name":"Natural Science Foundation of Shanghai"}],"funders":[{"id":"https://openalex.org/F4320309612","display_name":"Natural Science Foundation of Shanghai","ror":null},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1703720018","https://openalex.org/W1791725676","https://openalex.org/W1875112053","https://openalex.org/W1877916171","https://openalex.org/W1938602245","https://openalex.org/W1964392667","https://openalex.org/W1968164782","https://openalex.org/W1982821381","https://openalex.org/W2003100435","https://openalex.org/W2046955087","https://openalex.org/W2056299517","https://openalex.org/W2064075132","https://openalex.org/W2075489015","https://openalex.org/W2078008084","https://openalex.org/W2080844985","https://openalex.org/W2082019892","https://openalex.org/W2101420429","https://openalex.org/W2104109956","https://openalex.org/W2106034715","https://openalex.org/W2113127719","https://openalex.org/W2170723553","https://openalex.org/W2180749449","https://openalex.org/W2191845044","https://openalex.org/W2295122634","https://openalex.org/W2514768841","https://openalex.org/W2527538271","https://openalex.org/W2562248034","https://openalex.org/W2573873867","https://openalex.org/W2573891029","https://openalex.org/W2577397879","https://openalex.org/W2580138269","https://openalex.org/W2763525491","https://openalex.org/W2770782737","https://openalex.org/W3098080177","https://openalex.org/W4237078129","https://openalex.org/W4238452917","https://openalex.org/W4242930685","https://openalex.org/W4245509354"],"related_works":["https://openalex.org/W2063086397","https://openalex.org/W2114920609","https://openalex.org/W2129837124","https://openalex.org/W1580095423","https://openalex.org/W2077715071","https://openalex.org/W2357702059","https://openalex.org/W2964161656","https://openalex.org/W1968846251","https://openalex.org/W2361239511","https://openalex.org/W2389897766"],"abstract_inverted_index":{"A":[0],"new":[1],"complex":[2],"network":[3,39,52,67,84],"model,":[4],"called":[5],"<i":[6,80],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[7,81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</i>":[8,82],"-snapback":[9,83],"network,":[10,18,72],"is":[11,76],"introduced.":[12],"Basic":[13],"topological":[14],"characteristics":[15],"of":[16,37,44,50,89],"the":[17,38,51,64,69,79,86],"such":[19],"as":[20],"degree":[21],"distribution,":[22],"average":[23],"path":[24],"length,":[25],"clustering":[26],"coefficient,":[27,31],"and":[28,47,55,58,68,100],"Pearson":[29],"correlation":[30],"are":[32,40,73],"evaluated.":[33],"The":[34,42],"typical":[35],"4-motifs":[36],"simulated.":[41],"robustness":[43,88],"both":[45],"state":[46],"structural":[48],"controllabilities":[49,90],"against":[53],"targeted":[54],"random":[56],"node-":[57],"edge-removal":[59],"attacks,":[60],"with":[61,97],"comparisons":[62],"to":[63,92],"multiplex":[65],"congruence":[66],"generic":[70],"scale-free":[71],"presented.":[74],"It":[75],"shown":[77],"that":[78],"has":[85],"strongest":[87],"due":[91],"its":[93],"advantageous":[94],"inherent":[95],"structure":[96],"many":[98],"chain":[99],"loop":[101],"motifs.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":13},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
