{"id":"https://openalex.org/W3012350567","doi":"https://doi.org/10.1109/cdc40024.2019.9030047","title":"When is the Secure State-Reconstruction Problem Hard?","display_name":"When is the Secure State-Reconstruction Problem Hard?","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3012350567","doi":"https://doi.org/10.1109/cdc40024.2019.9030047","mag":"3012350567"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9030047","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th 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/A5090919076","display_name":"Yanwen Mao","orcid":"https://orcid.org/0000-0001-8206-9877"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yanwen Mao","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Los Angeles, California, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Los Angeles, California, USA","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101651422","display_name":"Aritra Mitra","orcid":"https://orcid.org/0000-0002-0472-284X"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Aritra Mitra","raw_affiliation_strings":["Department of Electrical Engineering, Purdue University, West Lafayette, Indiana, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Purdue University, West Lafayette, Indiana, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076731201","display_name":"Shreyas Sundaram","orcid":"https://orcid.org/0000-0002-5390-2505"},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shreyas Sundaram","raw_affiliation_strings":["Department of Electrical Engineering, Purdue University, West Lafayette, Indiana, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Purdue University, West Lafayette, Indiana, USA","institution_ids":["https://openalex.org/I219193219"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5047674203","display_name":"Paulo Tabuada","orcid":"https://orcid.org/0000-0002-3417-0951"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paulo Tabuada","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of California, Los Angeles, California, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of California, Los Angeles, California, USA","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5090919076"],"corresponding_institution_ids":["https://openalex.org/I161318765"],"apc_list":null,"apc_paid":null,"fwci":1.9958,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.87237552,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"5368","last_page":"5373"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9970999956130981,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9970999956130981,"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/T10917","display_name":"Smart Grid Security and Resilience","score":0.9887999892234802,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.974399983882904,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/observable","display_name":"Observable","score":0.8947813510894775},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.8411931991577148},{"id":"https://openalex.org/keywords/multiplicity","display_name":"Multiplicity (mathematics)","score":0.5313542485237122},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5293341875076294},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5053468346595764},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.48142287135124207},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.47521883249282837},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4456254243850708},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4440476894378662},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39664432406425476},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38616830110549927},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3765861988067627},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3758261501789093},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32159483432769775},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3111531138420105},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1224549412727356},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06786686182022095}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.8947813510894775},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8411931991577148},{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.5313542485237122},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5293341875076294},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5053468346595764},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.48142287135124207},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.47521883249282837},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4456254243850708},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4440476894378662},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39664432406425476},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38616830110549927},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3765861988067627},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3758261501789093},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32159483432769775},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3111531138420105},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1224549412727356},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06786686182022095},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc40024.2019.9030047","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9030047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W83533993","https://openalex.org/W207267598","https://openalex.org/W243364245","https://openalex.org/W1499908471","https://openalex.org/W1514337951","https://openalex.org/W1978666674","https://openalex.org/W1997567239","https://openalex.org/W2003530067","https://openalex.org/W2005482089","https://openalex.org/W2010973666","https://openalex.org/W2062132646","https://openalex.org/W2114456964","https://openalex.org/W2129131372","https://openalex.org/W2153775930","https://openalex.org/W2408848108","https://openalex.org/W2482666470","https://openalex.org/W2487287316","https://openalex.org/W2556022294","https://openalex.org/W2803355698","https://openalex.org/W2892315216","https://openalex.org/W2962520377","https://openalex.org/W2963639842","https://openalex.org/W2964188246","https://openalex.org/W4246219036","https://openalex.org/W4298286346","https://openalex.org/W6609413134","https://openalex.org/W6713839805","https://openalex.org/W6755033250"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2299538996","https://openalex.org/W2027136373","https://openalex.org/W2144143333","https://openalex.org/W2276636510","https://openalex.org/W3163145068","https://openalex.org/W2105658174","https://openalex.org/W1990421243","https://openalex.org/W776139355","https://openalex.org/W3007064390"],"abstract_inverted_index":{"This":[0],"paper":[1],"addresses":[2],"the":[3,7,50,80,87,109],"problem":[4,24,51],"of":[5,9,33],"reconstructing":[6],"state":[8],"a":[10],"linear":[11],"time-invariant":[12],"system":[13,81],"from":[14],"malicious":[15,48],"sensor":[16],"measurements.":[17],"The":[18],"first":[19],"result":[20],"establishes":[21],"that":[22,35],"this":[23,75],"is,":[25],"in":[26,39,55,106,108],"general,":[27],"NP-hard.":[28],"We":[29],"then":[30],"identify":[31],"classes":[32],"subproblems":[34],"can":[36,52],"be":[37,53],"solved":[38,54],"polynomial":[40,56],"time.":[41],"When":[42,68],"there":[43],"are":[44],"at":[45,64,99],"most":[46],"s":[47],"sensors,":[49,102],"time":[57],"when":[58,92],"each":[59,69,93],"eigenvalue":[60,70,94],"is":[61,77,95],"observable":[62,97],"by":[63,98],"least":[65,100],"2s+1":[66,101],"sensors.":[67],"has":[71],"geometric":[72],"multiplicity":[73],"one,":[74],"condition":[76],"equivalent":[78],"to":[79],"being":[82],"2s-sparse":[83],"observable.":[84],"In":[85],"contrast,":[86],"situation":[88],"becomes":[89],"more":[90],"nuanced":[91],"not":[96],"as":[103],"we":[104],"describe":[105],"detail":[107],"paper.":[110]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":1}],"updated_date":"2026-01-13T01:12:25.745995","created_date":"2025-10-10T00:00:00"}
