{"id":"https://openalex.org/W7127534265","doi":"https://doi.org/10.1109/tr.2026.3660832","title":"Event-Triggered Reliability Control for Fault Tolerant Tracking of Nonlinear Systems via Adaptive Dynamic Programming","display_name":"Event-Triggered Reliability Control for Fault Tolerant Tracking of Nonlinear Systems via Adaptive Dynamic Programming","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7127534265","doi":"https://doi.org/10.1109/tr.2026.3660832"},"language":null,"primary_location":{"id":"doi:10.1109/tr.2026.3660832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2026.3660832","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"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 Reliability","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/A5124903779","display_name":"Jian Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]},{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jian Liu","raw_affiliation_strings":["School of Computer Science, Nanjing University of Information Science and Technology, Nanjing, China","School of Computer and Artificial Intelligence, Nanjing University of Finance and Economics, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-6548-3002","affiliations":[{"raw_affiliation_string":"School of Computer Science, Nanjing University of Information Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I200845125"]},{"raw_affiliation_string":"School of Computer and Artificial Intelligence, Nanjing University of Finance and Economics, Nanjing, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124891838","display_name":"Jingjing Xia","orcid":null},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jingjing Xia","raw_affiliation_strings":["School of Computer and Artificial Intelligence, Nanjing University of Finance and Economics, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer and Artificial Intelligence, Nanjing University of Finance and Economics, Nanjing, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030714475","display_name":"Lijuan Zha","orcid":"https://orcid.org/0000-0003-0475-8866"},"institutions":[{"id":"https://openalex.org/I167027274","display_name":"Nanjing Forestry University","ror":"https://ror.org/03m96p165","country_code":"CN","type":"education","lineage":["https://openalex.org/I167027274"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lijuan Zha","raw_affiliation_strings":["School of Science, Nanjing Forestry University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-0475-8866","affiliations":[{"raw_affiliation_string":"School of Science, Nanjing Forestry University, Nanjing, China","institution_ids":["https://openalex.org/I167027274"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5124967789","display_name":"Jinliang Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I137056471","display_name":"Nanjing University of Finance and Economics","ror":"https://ror.org/031y8am81","country_code":"CN","type":"education","lineage":["https://openalex.org/I137056471"]},{"id":"https://openalex.org/I200845125","display_name":"Nanjing University of Information Science and Technology","ror":"https://ror.org/02y0rxk19","country_code":"CN","type":"education","lineage":["https://openalex.org/I200845125"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinliang Liu","raw_affiliation_strings":["School of Computer Science, Nanjing University of Information Science and Technology, Nanjing, China","School of Computer and Artificial Intelligence, Nanjing University of Finance and Economics, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-5489-0246","affiliations":[{"raw_affiliation_string":"School of Computer Science, Nanjing University of Information Science and Technology, Nanjing, China","institution_ids":["https://openalex.org/I200845125"]},{"raw_affiliation_string":"School of Computer and Artificial Intelligence, Nanjing University of Finance and Economics, Nanjing, China","institution_ids":["https://openalex.org/I137056471"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5120390105","display_name":"Engang Tian","orcid":"https://orcid.org/0000-0002-8169-5347"},"institutions":[{"id":"https://openalex.org/I148128674","display_name":"University of Shanghai for Science and Technology","ror":"https://ror.org/00ay9v204","country_code":"CN","type":"education","lineage":["https://openalex.org/I148128674"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Engang Tian","raw_affiliation_strings":["School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-8169-5347","affiliations":[{"raw_affiliation_string":"School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai, China","institution_ids":["https://openalex.org/I148128674"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16224515,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"75","issue":null,"first_page":"902","last_page":"915"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9958999752998352,"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"}},"topics":[{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.000699999975040555,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.0005000000237487257,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7318000197410583},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.5734999775886536},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.5315999984741211},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4997999966144562},{"id":"https://openalex.org/keywords/tracking-error","display_name":"Tracking error","score":0.4823000133037567},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.4821999967098236},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4530999958515167},{"id":"https://openalex.org/keywords/online-model","display_name":"Online model","score":0.44589999318122864},{"id":"https://openalex.org/keywords/backstepping","display_name":"Backstepping","score":0.43799999356269836},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.43309998512268066}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7318000197410583},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.5734999775886536},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.559499979019165},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.5315999984741211},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4997999966144562},{"id":"https://openalex.org/C183356978","wikidata":"https://www.wikidata.org/wiki/Q1779213","display_name":"Tracking error","level":3,"score":0.4823000133037567},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.4821999967098236},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4530999958515167},{"id":"https://openalex.org/C2777851325","wikidata":"https://www.wikidata.org/wiki/Q7094102","display_name":"Online model","level":2,"score":0.44589999318122864},{"id":"https://openalex.org/C72218879","wikidata":"https://www.wikidata.org/wiki/Q4839759","display_name":"Backstepping","level":4,"score":0.43799999356269836},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.43309998512268066},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.4043000042438507},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.39969998598098755},{"id":"https://openalex.org/C152745839","wikidata":"https://www.wikidata.org/wiki/Q5438153","display_name":"Fault detection and isolation","level":3,"score":0.3894999921321869},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.3767000138759613},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.351500004529953},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.34940001368522644},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.30820000171661377},{"id":"https://openalex.org/C2780023022","wikidata":"https://www.wikidata.org/wiki/Q1338171","display_name":"Compensation (psychology)","level":2,"score":0.3027999997138977},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.28540000319480896},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.2825999855995178},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2822999954223633},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.2815000116825104},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.27390000224113464},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.2720000147819519},{"id":"https://openalex.org/C36662352","wikidata":"https://www.wikidata.org/wiki/Q6008560","display_name":"Sliding mode control","level":3,"score":0.2662999927997589},{"id":"https://openalex.org/C172205157","wikidata":"https://www.wikidata.org/wiki/Q1782962","display_name":"Model predictive control","level":3,"score":0.26260000467300415},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.25920000672340393}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tr.2026.3660832","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tr.2026.3660832","pdf_url":null,"source":{"id":"https://openalex.org/S87725633","display_name":"IEEE Transactions on Reliability","issn_l":"0018-9529","issn":["0018-9529","1558-1721"],"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 Reliability","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6107430458068848,"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure"}],"awards":[{"id":"https://openalex.org/G3117953877","display_name":null,"funder_award_id":"62273174","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4812030389","display_name":null,"funder_award_id":"62373252","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6230905231","display_name":null,"funder_award_id":"62001210","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"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":47,"referenced_works":["https://openalex.org/W2032124828","https://openalex.org/W2095509930","https://openalex.org/W2774852867","https://openalex.org/W2803065174","https://openalex.org/W3025752759","https://openalex.org/W3038828093","https://openalex.org/W3042731680","https://openalex.org/W3089897106","https://openalex.org/W3108003339","https://openalex.org/W3111143034","https://openalex.org/W3167068690","https://openalex.org/W4213427794","https://openalex.org/W4307433232","https://openalex.org/W4312692127","https://openalex.org/W4361771194","https://openalex.org/W4379617505","https://openalex.org/W4385659498","https://openalex.org/W4385756757","https://openalex.org/W4386472868","https://openalex.org/W4387448566","https://openalex.org/W4388018178","https://openalex.org/W4388052828","https://openalex.org/W4388895126","https://openalex.org/W4389104736","https://openalex.org/W4389388812","https://openalex.org/W4389722556","https://openalex.org/W4390692275","https://openalex.org/W4391164240","https://openalex.org/W4391547789","https://openalex.org/W4392667157","https://openalex.org/W4392940025","https://openalex.org/W4393379773","https://openalex.org/W4399377916","https://openalex.org/W4399453015","https://openalex.org/W4400678981","https://openalex.org/W4401357077","https://openalex.org/W4401537233","https://openalex.org/W4402593241","https://openalex.org/W4402624667","https://openalex.org/W4403058898","https://openalex.org/W4403077548","https://openalex.org/W4405468275","https://openalex.org/W4406161934","https://openalex.org/W4414043024","https://openalex.org/W4414223064","https://openalex.org/W4414223098","https://openalex.org/W4415054589"],"related_works":[],"abstract_inverted_index":{"This":[0],"study":[1],"proposes":[2],"a":[3,31,50,59,87,135],"novel":[4],"methodology":[5],"driven":[6],"by":[7],"adaptive":[8,65],"dynamic":[9,113],"programming":[10],"(ADP)":[11],"to":[12,25,69,82,94,161],"achieve":[13],"optimal":[14,132],"fault-tolerant":[15],"tracking":[16,43,171],"control":[17,53,79,101,133],"(FTTC)":[18],"in":[19,35,99],"affine":[20],"nonlinear":[21,167],"systems":[22],"(ANSs)":[23],"subject":[24],"actuator":[26,116],"failures.":[27],"To":[28],"begin":[29],"with,":[30],"key":[32],"innovation":[33],"lies":[34],"constructing":[36],"an":[37,104],"extended":[38,57],"system":[39,123],"model":[40],"that":[41],"integrates":[42],"error":[44],"dynamics":[45],"and":[46,112,145,184],"desired":[47],"trajectory,":[48],"establishing":[49],"basis":[51],"for":[52,164],"synthesis.":[54],"For":[55],"this":[56,176],"system,":[58,168],"critic":[60],"neural":[61],"network":[62,85],"(NN)":[63],"with":[64,134],"weights":[66],"is":[67,92,159,178],"designed":[68],"approximate":[70],"the":[71,165],"discounted":[72],"value":[73],"function,":[74],"enabling":[75],"online":[76],"optimization":[77],"of":[78,115,175],"policies.":[80],"Additionally,":[81],"address":[83],"practical":[84],"constraints,":[86],"bandwidth-efficient":[88],"event-triggered":[89],"scheme":[90],"(BEETS)":[91],"introduced":[93],"optimize":[95],"limited":[96],"bandwidth":[97],"resources":[98],"networked":[100],"setups.":[102],"Meanwhile,":[103],"NN":[105],"based":[106],"fault":[107,136,140,148],"observer":[108],"realizes":[109],"real-time":[110],"identification":[111],"compensation":[114],"faults,":[117],"mitigating":[118],"their":[119],"adverse":[120],"effects":[121],"on":[122],"performance.":[124,172],"The":[125,173],"resulting":[126],"FTTC":[127],"framework,":[128],"which":[129],"merges":[130],"ADP-based":[131],"compensator,":[137],"ensures":[138],"robust":[139],"tolerance":[141],"under":[142],"both":[143],"constant":[144],"time":[146],"varying":[147],"scenarios.":[149],"Through":[150],"rigorous":[151,181],"Lyapunov":[152],"stability":[153],"assessment,":[154],"uniform":[155],"ultimate":[156],"boundedness":[157],"(UUB)":[158],"proven":[160],"be":[162],"achieved":[163],"closed-loop":[166],"guaranteeing":[169],"stable":[170],"validity":[174],"algorithm":[177],"verified":[179],"through":[180],"theoretical":[182],"analysis":[183],"captivating":[185],"numerical":[186],"simulations.":[187]},"counts_by_year":[],"updated_date":"2026-02-20T06:14:18.993340","created_date":"2026-02-04T00:00:00"}