{"id":"https://openalex.org/W4405804660","doi":"https://doi.org/10.1109/tac.2024.3522762","title":"Soft Safety Analysis of Interconnected Systems","display_name":"Soft Safety Analysis of Interconnected Systems","publication_year":2024,"publication_date":"2024-12-26","ids":{"openalex":"https://openalex.org/W4405804660","doi":"https://doi.org/10.1109/tac.2024.3522762"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2024.3522762","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3522762","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic 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/A5073787322","display_name":"Weihao Zhang","orcid":"https://orcid.org/0009-0008-5293-6974"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weihao Zhang","raw_affiliation_strings":["Department of Control Science and Engineering and Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China","Department of Control Science and Engineering & Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0009-0008-5293-6974","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering and Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Department of Control Science and Engineering & Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025654724","display_name":"Di Zhao","orcid":"https://orcid.org/0000-0003-2508-9163"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Di Zhao","raw_affiliation_strings":["Department of Control Science and Engineering and Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China","Department of Control Science and Engineering & Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-2508-9163","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering and Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Department of Control Science and Engineering & Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034709296","display_name":"Shu Liang","orcid":"https://orcid.org/0000-0002-9719-1987"},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shu Liang","raw_affiliation_strings":["Department of Control Science and Engineering and Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China","Department of Control Science and Engineering & Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-9719-1987","affiliations":[{"raw_affiliation_string":"Department of Control Science and Engineering and Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]},{"raw_affiliation_string":"Department of Control Science and Engineering & Shanghai Institute of Intelligent Science and Technology, Tongji University, Shanghai, China","institution_ids":["https://openalex.org/I116953780"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073787322"],"corresponding_institution_ids":["https://openalex.org/I116953780"],"apc_list":null,"apc_paid":null,"fwci":0.6969,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.71935403,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"70","issue":"7","first_page":"4315","last_page":"4329"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10780","display_name":"Reliability and Maintenance Optimization","score":0.963100016117096,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10780","display_name":"Reliability and Maintenance Optimization","score":0.963100016117096,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9395999908447266,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9380000233650208,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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":0.47355809807777405},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3812117278575897},{"id":"https://openalex.org/keywords/reliability-engineering","display_name":"Reliability engineering","score":0.345321923494339},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.32645824551582336},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.2676735520362854},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.21588152647018433},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10053399205207825}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47355809807777405},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3812117278575897},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.345321923494339},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.32645824551582336},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2676735520362854},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.21588152647018433},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10053399205207825}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2024.3522762","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2024.3522762","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.4000000059604645,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1714981014","display_name":null,"funder_award_id":"72171171","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2575069074","display_name":null,"funder_award_id":"62088101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3443272908","display_name":null,"funder_award_id":"22120240440","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W94675972","https://openalex.org/W1852719163","https://openalex.org/W2024267548","https://openalex.org/W2033118636","https://openalex.org/W2036031393","https://openalex.org/W2067983528","https://openalex.org/W2077367989","https://openalex.org/W2095477585","https://openalex.org/W2097944741","https://openalex.org/W2103714988","https://openalex.org/W2108489060","https://openalex.org/W2111166683","https://openalex.org/W2121057923","https://openalex.org/W2124214538","https://openalex.org/W2132334337","https://openalex.org/W2140665365","https://openalex.org/W2140743594","https://openalex.org/W2144355672","https://openalex.org/W2482374227","https://openalex.org/W2490900388","https://openalex.org/W2547940578","https://openalex.org/W2569089411","https://openalex.org/W2772008992","https://openalex.org/W2789826932","https://openalex.org/W2893322488","https://openalex.org/W3104239214","https://openalex.org/W3106479281","https://openalex.org/W3203789499","https://openalex.org/W4205962305","https://openalex.org/W4285400426","https://openalex.org/W4292249799","https://openalex.org/W4316659619","https://openalex.org/W4379524550","https://openalex.org/W4394571452"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"This":[0],"article":[1,95],"introduces":[2],"the":[3,59,137,140,143,146],"concept":[4,141],"of":[5,84,139,145],"soft":[6,22,43,55,60,120],"safety":[7,23,30,80,101,125],"for":[8,20,81,98],"nonlinear":[9,85],"dynamical":[10],"systems,":[11,111],"examined":[12],"from":[13,28],"an":[14],"input\u2013output":[15,92],"perspective,":[16],"and":[17,51,109,126,130,142],"establishes":[18],"criteria":[19],"verifying":[21],"in":[24,102],"interconnected":[25,110],"systems.":[26],"Diverging":[27],"traditional":[29],"approaches":[31],"that":[32],"enforce":[33],"rigid/hard":[34],"constraints":[35,90],"on":[36,91],"system":[37,49],"states,":[38],"our":[39],"proposal":[40],"involves":[41],"integrating":[42],"barrier":[44,61],"functions":[45],"with":[46,67,106,112],"respect":[47],"to":[48,53,73,88,117,135],"inputs":[50],"outputs":[52],"characterize":[54],"safety.":[56],"Particularly,":[57],"when":[58],"function":[62],"takes":[63],"a":[64,68,74,82],"quadratic":[65,89],"form":[66],"constant":[69],"QSR":[70,79,100,119],"multiplier\u2014later":[71],"extended":[72],"dynamic":[75],"multiplier\u2014we":[76],"further":[77],"define":[78],"class":[83],"systems":[86,105,122],"subject":[87],"signals.":[93],"The":[94],"presents":[96],"methods":[97,114],"analyzing":[99],"both":[103],"open-loop":[104],"state-space":[107],"representations":[108],"these":[113],"subsequently":[115],"employed":[116],"design":[118],"safe":[121],"meeting":[123],"prescribed":[124],"stability":[127],"requirements.":[128],"Numerical":[129],"simulation":[131],"examples":[132],"are":[133],"provided":[134],"illustrate":[136],"rationality":[138],"efficacy":[144],"results.":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-12-27T23:08:20.325037","created_date":"2025-10-10T00:00:00"}