{"id":"https://openalex.org/W2971737919","doi":"https://doi.org/10.1109/codit.2019.8820512","title":"Security Index of Linear Cyber-Physical Systems: A Geometric Perspective","display_name":"Security Index of Linear Cyber-Physical Systems: A Geometric Perspective","publication_year":2019,"publication_date":"2019-04-01","ids":{"openalex":"https://openalex.org/W2971737919","doi":"https://doi.org/10.1109/codit.2019.8820512","mag":"2971737919"},"language":"en","primary_location":{"id":"doi:10.1109/codit.2019.8820512","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit.2019.8820512","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 6th International Conference on Control, Decision and Information Technologies (CoDIT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5087706325","display_name":"Amir Baniamerian","orcid":null},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Amir Baniamerian","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Concordia University, Montreal, Quebec, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, Quebec, Canada","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009555575","display_name":"K. Khorasani","orcid":"https://orcid.org/0000-0002-6919-3889"},"institutions":[{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Khashayar Khorasani","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Concordia University, Montreal, Quebec, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Concordia University, Montreal, Quebec, Canada","institution_ids":["https://openalex.org/I60158472"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I60158472"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"391","last_page":"396"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10917","display_name":"Smart Grid Security and Resilience","score":0.9986000061035156,"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"}},"topics":[{"id":"https://openalex.org/T10917","display_name":"Smart Grid Security and Resilience","score":0.9986000061035156,"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/T11005","display_name":"Radiation Effects in Electronics","score":0.9606000185012817,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10734","display_name":"Information and Cyber Security","score":0.9563999772071838,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/computer-science","display_name":"Computer science","score":0.6768764853477478},{"id":"https://openalex.org/keywords/cyber-physical-system","display_name":"Cyber-physical system","score":0.6558597087860107},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5886579751968384},{"id":"https://openalex.org/keywords/perspective","display_name":"Perspective (graphical)","score":0.5055947303771973},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5048685669898987},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.4986898899078369},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4683341979980469},{"id":"https://openalex.org/keywords/vulnerability","display_name":"Vulnerability (computing)","score":0.46326664090156555},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.46186548471450806},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.45673203468322754},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4231767952442169},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4168872833251953},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32030969858169556},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26281559467315674},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2466905415058136},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1339881420135498}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6768764853477478},{"id":"https://openalex.org/C179768478","wikidata":"https://www.wikidata.org/wiki/Q1120057","display_name":"Cyber-physical system","level":2,"score":0.6558597087860107},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5886579751968384},{"id":"https://openalex.org/C12713177","wikidata":"https://www.wikidata.org/wiki/Q1900281","display_name":"Perspective (graphical)","level":2,"score":0.5055947303771973},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5048685669898987},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.4986898899078369},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4683341979980469},{"id":"https://openalex.org/C95713431","wikidata":"https://www.wikidata.org/wiki/Q631425","display_name":"Vulnerability (computing)","level":2,"score":0.46326664090156555},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.46186548471450806},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.45673203468322754},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4231767952442169},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4168872833251953},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32030969858169556},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26281559467315674},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2466905415058136},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1339881420135498},{"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/codit.2019.8820512","is_oa":false,"landing_page_url":"https://doi.org/10.1109/codit.2019.8820512","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 6th International Conference on Control, Decision and Information Technologies (CoDIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","score":0.5199999809265137,"display_name":"Partnerships for the goals"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1553493745","https://openalex.org/W1556970733","https://openalex.org/W2003530067","https://openalex.org/W2016617706","https://openalex.org/W2066056155","https://openalex.org/W2087932696","https://openalex.org/W2101366015","https://openalex.org/W2114020484","https://openalex.org/W2149811200","https://openalex.org/W2338673978","https://openalex.org/W2586650641","https://openalex.org/W2596635036","https://openalex.org/W2617246254","https://openalex.org/W2794142299","https://openalex.org/W2840790491","https://openalex.org/W3105533740","https://openalex.org/W4254742956"],"related_works":["https://openalex.org/W1596661446","https://openalex.org/W1502750978","https://openalex.org/W2079066204","https://openalex.org/W2361989478","https://openalex.org/W2523682948","https://openalex.org/W2015517053","https://openalex.org/W2614335796","https://openalex.org/W2053444182","https://openalex.org/W1651629007","https://openalex.org/W2147765738"],"abstract_inverted_index":{"This":[0,61,94],"paper":[1],"is":[2,95,157],"mainly":[3],"concerned":[4],"with":[5,85],"developing":[6],"security":[7,18,50,78],"indices":[8],"for":[9,16,39,71],"linear":[10,82],"cyber-physical":[11],"systems":[12],"(CPS).":[13],"The":[14],"approaches":[15,104,115],"computing":[17,72],"(and":[19],"consequently":[20],"vulnerability":[21],"analysis)":[22],"of":[23,63,89,129,154],"CPS":[24,148],"in":[25,43,105,116],"the":[26,40,44,49,77,90,101,106,114,117,127,130,133,142,147],"literature":[27,45,107,118],"are":[28],"based":[29],"on":[30,76,126],"algebraic":[31],"methods":[32],"and":[33,53],"system":[34,58,91],"matrices.":[35],"In":[36],"this":[37],"paper,":[38],"first":[41],"time":[42,83,111],"we":[46,165],"formally":[47,140],"address":[48],"index":[51,79],"analysis":[52],"computation":[54],"from":[55],"a":[56,81,96,137,151,171],"geometric":[57,134],"theory":[59],"perspective.":[60],"point":[62],"view":[64],"enables":[65],"one":[66],"to":[67,87,100,139,146],"develop":[68],"an":[69,73],"algorithm":[70],"upper":[74],"bound":[75],"having":[80],"complexity":[84],"respect":[86],"dimension":[88],"(i.e.,":[92],"O(n)).":[93],"significant":[97],"improvement":[98],"compared":[99],"currently":[102],"available":[103],"that":[108,156],"have":[109],"polynomial":[110],"complexity.":[112],"Unlike":[113],"our":[119,167],"methodology":[120,169],"does":[121],"not":[122],"need":[123],"any":[124],"restriction":[125],"representation":[128],"system.":[131],"Moreover,":[132],"approach":[135],"provides":[136],"tool":[138],"analyze":[141],"attack":[143,155],"signals":[144],"injected":[145],"by":[149],"introducing":[150],"new":[152],"type":[153],"more":[158],"sophisticated":[159],"than":[160],"zero":[161],"dynamic":[162],"attacks.":[163],"Finally,":[164],"illustrate":[166],"proposed":[168],"through":[170],"numerical":[172],"example.":[173]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}