{"id":"https://openalex.org/W4387909603","doi":"https://doi.org/10.1080/00207179.2023.2274924","title":"Observer-based safety monitoring of nonlinear dynamical systems with neural networks via quadratic constraint approach","display_name":"Observer-based safety monitoring of nonlinear dynamical systems with neural networks via quadratic constraint approach","publication_year":2023,"publication_date":"2023-10-24","ids":{"openalex":"https://openalex.org/W4387909603","doi":"https://doi.org/10.1080/00207179.2023.2274924"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2023.2274924","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2023.2274924","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-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/A5100453710","display_name":"Tao Wang","orcid":"https://orcid.org/0000-0003-4361-8399"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Wang","raw_affiliation_strings":["School of Electrical Engineering, Southwest Jiaotong University, Chengdu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, Chengdu, People's Republic of China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100404467","display_name":"Yapeng Li","orcid":"https://orcid.org/0000-0002-7704-4787"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yapeng Li","raw_affiliation_strings":["School of Electrical Engineering, Southwest Jiaotong University, Chengdu, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southwest Jiaotong University, Chengdu, People's Republic of China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078292651","display_name":"Zihao Mo","orcid":"https://orcid.org/0000-0001-5037-5802"},"institutions":[{"id":"https://openalex.org/I25041050","display_name":"Augusta University","ror":"https://ror.org/012mef835","country_code":"US","type":"education","lineage":["https://openalex.org/I25041050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Zihao Mo","raw_affiliation_strings":["School of Computer and Cyber Sciences, Augusta University, Augusta, GA, USA"],"affiliations":[{"raw_affiliation_string":"School of Computer and Cyber Sciences, Augusta University, Augusta, GA, USA","institution_ids":["https://openalex.org/I25041050"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021494573","display_name":"Wesley Cooke","orcid":null},"institutions":[{"id":"https://openalex.org/I25041050","display_name":"Augusta University","ror":"https://ror.org/012mef835","country_code":"US","type":"education","lineage":["https://openalex.org/I25041050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wesley Cooke","raw_affiliation_strings":["School of Computer and Cyber Sciences, Augusta University, Augusta, GA, USA"],"affiliations":[{"raw_affiliation_string":"School of Computer and Cyber Sciences, Augusta University, Augusta, GA, USA","institution_ids":["https://openalex.org/I25041050"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090573416","display_name":"Weiming Xiang","orcid":"https://orcid.org/0000-0001-9065-8428"},"institutions":[{"id":"https://openalex.org/I25041050","display_name":"Augusta University","ror":"https://ror.org/012mef835","country_code":"US","type":"education","lineage":["https://openalex.org/I25041050"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Weiming Xiang","raw_affiliation_strings":["School of Computer and Cyber Sciences, Augusta University, Augusta, GA, USA"],"affiliations":[{"raw_affiliation_string":"School of Computer and Cyber Sciences, Augusta University, Augusta, GA, USA","institution_ids":["https://openalex.org/I25041050"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5090573416"],"corresponding_institution_ids":["https://openalex.org/I25041050"],"apc_list":null,"apc_paid":null,"fwci":0.5634,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.67033949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"97","issue":"10","first_page":"2420","last_page":"2432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10876","display_name":"Fault Detection and Control Systems","score":0.9976999759674072,"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":0.9976999759674072,"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9957000017166138,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11206","display_name":"Model Reduction and Neural Networks","score":0.9742000102996826,"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/artificial-neural-network","display_name":"Artificial neural network","score":0.7298163771629333},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.7245550155639648},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7005780339241028},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.6041227579116821},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.6013516783714294},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5887524485588074},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5866377949714661},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5383016467094421},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.4658091366291046},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45921608805656433},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4581531286239624},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.4225737452507019},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39441460371017456},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28453487157821655},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2101060152053833},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13019925355911255},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05667474865913391}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.7298163771629333},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.7245550155639648},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7005780339241028},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.6041227579116821},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.6013516783714294},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5887524485588074},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5866377949714661},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5383016467094421},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.4658091366291046},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45921608805656433},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4581531286239624},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.4225737452507019},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39441460371017456},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28453487157821655},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2101060152053833},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13019925355911255},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05667474865913391},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2023.2274924","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2023.2274924","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2722925862","display_name":null,"funder_award_id":"2331938","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6138900667","display_name":null,"funder_award_id":"2223035","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8662069778","display_name":null,"funder_award_id":"2143351","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W910760685","https://openalex.org/W1544016679","https://openalex.org/W1762692011","https://openalex.org/W1967884857","https://openalex.org/W1969705022","https://openalex.org/W1975144636","https://openalex.org/W2004231187","https://openalex.org/W2088656430","https://openalex.org/W2122836694","https://openalex.org/W2132934431","https://openalex.org/W2169106666","https://openalex.org/W2280250534","https://openalex.org/W2329473580","https://openalex.org/W2543927648","https://openalex.org/W2605373881","https://openalex.org/W2754841394","https://openalex.org/W2791251367","https://openalex.org/W2938701611","https://openalex.org/W2949482052","https://openalex.org/W2955364893","https://openalex.org/W2962692913","https://openalex.org/W2963334980","https://openalex.org/W2974147052","https://openalex.org/W3024917158","https://openalex.org/W3046150270","https://openalex.org/W3091214766","https://openalex.org/W3111429704","https://openalex.org/W3117881175","https://openalex.org/W3120409696","https://openalex.org/W3139113494","https://openalex.org/W3142744390","https://openalex.org/W4206009461","https://openalex.org/W4220821236","https://openalex.org/W4317466250","https://openalex.org/W6632920698"],"related_works":["https://openalex.org/W3192036299","https://openalex.org/W2146428417","https://openalex.org/W3176458675","https://openalex.org/W2119041024","https://openalex.org/W2561776955","https://openalex.org/W2138120972","https://openalex.org/W576983769","https://openalex.org/W2122087045","https://openalex.org/W1964869133","https://openalex.org/W2054830681"],"abstract_inverted_index":{"The":[0,17,118],"safety":[1,19],"monitoring":[2],"for":[3,73],"nonlinear":[4,44,61],"dynamical":[5,37],"systems":[6],"with":[7,77,103,112],"embedded":[8],"neural":[9,27,32,48,65],"network":[10,33],"components":[11,34],"is":[12,21,85,124],"addressed":[13],"in":[14,47,64],"this":[15],"paper.":[16],"interval-observer-based":[18],"monitor":[20],"developed":[22],"consisting":[23],"of":[24,35,43,90,120,128],"two":[25],"auxiliary":[26],"networks":[28],"derived":[29],"from":[30],"the":[31,36,41,55,60,74,80,99,104,109,121,129],"system.":[38,133],"Due":[39],"to":[40,58,97,106],"presence":[42],"activation":[45,62,75],"functions":[46,63],"networks,":[49],"we":[50],"use":[51],"quadratic":[52,70,91],"constraints":[53],"on":[54],"global":[56],"sector":[57],"abstract":[59],"networks.":[66],"By":[67],"combining":[68],"a":[69,88],"constraint":[71],"approach":[72],"function":[76],"Lyapunov":[78],"theory,":[79],"interval":[81,100],"observer":[82,101],"design":[83],"problem":[84],"transformed":[86],"into":[87],"series":[89],"and":[92],"linear":[93],"programming":[94],"feasibility":[95],"problems":[96],"make":[98],"operate":[102],"ability":[105],"correctly":[107],"estimate":[108],"system":[110],"state":[111],"estimation":[113],"errors":[114],"within":[115],"acceptable":[116],"limits.":[117],"applicability":[119],"proposed":[122],"method":[123],"verified":[125],"by":[126],"simulation":[127],"lateral":[130],"vehicle":[131],"control":[132]},"counts_by_year":[{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}