{"id":"https://openalex.org/W4391807011","doi":"https://doi.org/10.1109/tnnls.2024.3362800","title":"Self-Triggered Approximate Optimal Neuro-Control for Nonlinear Systems Through Adaptive Dynamic Programming","display_name":"Self-Triggered Approximate Optimal Neuro-Control for Nonlinear Systems Through Adaptive Dynamic Programming","publication_year":2024,"publication_date":"2024-02-14","ids":{"openalex":"https://openalex.org/W4391807011","doi":"https://doi.org/10.1109/tnnls.2024.3362800","pmid":"https://pubmed.ncbi.nlm.nih.gov/40038921"},"language":"en","primary_location":{"id":"doi:10.1109/tnnls.2024.3362800","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3362800","pdf_url":"https://ieeexplore.ieee.org/ielx7/5962385/6104215/10436121.pdf","source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ieeexplore.ieee.org/ielx7/5962385/6104215/10436121.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074387543","display_name":"Bo Zhao","orcid":"https://orcid.org/0000-0002-7684-7342"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]},{"id":"https://openalex.org/I25254941","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35","country_code":"CN","type":"education","lineage":["https://openalex.org/I25254941"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bo Zhao","raw_affiliation_strings":["School of Systems Science, Beijing Normal University, Beijing, China","Ministry of Education, Key Laboratory of Industrial Internet of Things and Networked Control, Chongqing University of Posts and Telecommunications, Chongqing, China"],"affiliations":[{"raw_affiliation_string":"School of Systems Science, Beijing Normal University, Beijing, China","institution_ids":["https://openalex.org/I25254941"]},{"raw_affiliation_string":"Ministry of Education, Key Laboratory of Industrial Internet of Things and Networked Control, Chongqing University of Posts and Telecommunications, Chongqing, China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080241813","display_name":"Shunchao Zhang","orcid":"https://orcid.org/0000-0003-1303-1781"},"institutions":[{"id":"https://openalex.org/I4210149618","display_name":"Guangdong University of Finance","ror":"https://ror.org/04grzdh47","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210149618"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shunchao Zhang","raw_affiliation_strings":["School of Internet Finance and Information Engineering, Guangdong University of Finance, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Internet Finance and Information Engineering, Guangdong University of Finance, Guangzhou, China","institution_ids":["https://openalex.org/I4210149618"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004057129","display_name":"Derong Liu","orcid":"https://orcid.org/0000-0003-3715-4778"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]},{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Derong Liu","raw_affiliation_strings":["School of System Design and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China","Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL, USA"],"affiliations":[{"raw_affiliation_string":"School of System Design and Intelligent Manufacturing, Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Chicago, Chicago, IL, USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074387543"],"corresponding_institution_ids":["https://openalex.org/I10535382","https://openalex.org/I25254941"],"apc_list":null,"apc_paid":null,"fwci":26.8613,"has_fulltext":true,"cited_by_count":76,"citation_normalized_percentile":{"value":0.99785634,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"36","issue":"3","first_page":"4713","last_page":"4723"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9998999834060669,"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":0.9998999834060669,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.964900016784668,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9506999850273132,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6350666284561157},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.6009839773178101},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5911664962768555},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5727799534797668},{"id":"https://openalex.org/keywords/adaptive-control","display_name":"Adaptive control","score":0.5164970755577087},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5030166506767273},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.32745659351348877},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3072240352630615},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2471061646938324},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19445860385894775},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16820839047431946},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13370636105537415},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12012910842895508},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07197818160057068}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6350666284561157},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.6009839773178101},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5911664962768555},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5727799534797668},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.5164970755577087},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5030166506767273},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.32745659351348877},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3072240352630615},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2471061646938324},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19445860385894775},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16820839047431946},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13370636105537415},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12012910842895508},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07197818160057068},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tnnls.2024.3362800","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3362800","pdf_url":"https://ieeexplore.ieee.org/ielx7/5962385/6104215/10436121.pdf","source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},{"id":"pmid:40038921","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40038921","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on neural networks and learning systems","raw_type":null}],"best_oa_location":{"id":"doi:10.1109/tnnls.2024.3362800","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tnnls.2024.3362800","pdf_url":"https://ieeexplore.ieee.org/ielx7/5962385/6104215/10436121.pdf","source":{"id":"https://openalex.org/S4210175523","display_name":"IEEE Transactions on Neural Networks and Learning Systems","issn_l":"2162-237X","issn":["2162-237X","2162-2388"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Neural Networks and Learning Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3554015320","display_name":null,"funder_award_id":"4212038","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6927519788","display_name":null,"funder_award_id":"61973330","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8816108514","display_name":null,"funder_award_id":"62073085","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"},{"id":"https://openalex.org/F4320321432","display_name":"Beijing Normal University","ror":"https://ror.org/022k4wk35"},{"id":"https://openalex.org/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4391807011.pdf","grobid_xml":"https://content.openalex.org/works/W4391807011.grobid-xml"},"referenced_works_count":45,"referenced_works":["https://openalex.org/W132264163","https://openalex.org/W1504311294","https://openalex.org/W1985235885","https://openalex.org/W2014119102","https://openalex.org/W2047090868","https://openalex.org/W2054856671","https://openalex.org/W2093831009","https://openalex.org/W2104843094","https://openalex.org/W2108286682","https://openalex.org/W2111990577","https://openalex.org/W2130980192","https://openalex.org/W2509783950","https://openalex.org/W2563989895","https://openalex.org/W2570494446","https://openalex.org/W2573379990","https://openalex.org/W2611225738","https://openalex.org/W2727279496","https://openalex.org/W2765645862","https://openalex.org/W2775595038","https://openalex.org/W2779055119","https://openalex.org/W2783122671","https://openalex.org/W2790119357","https://openalex.org/W2793996673","https://openalex.org/W2804984967","https://openalex.org/W2884320687","https://openalex.org/W2890134454","https://openalex.org/W2904465779","https://openalex.org/W2922993563","https://openalex.org/W2944734899","https://openalex.org/W2947612257","https://openalex.org/W2955004043","https://openalex.org/W2964222971","https://openalex.org/W2988032362","https://openalex.org/W3000721923","https://openalex.org/W3003594828","https://openalex.org/W3037493294","https://openalex.org/W3045218768","https://openalex.org/W3087896133","https://openalex.org/W3114263192","https://openalex.org/W3115600542","https://openalex.org/W3138995639","https://openalex.org/W3181440604","https://openalex.org/W3209393188","https://openalex.org/W3216342137","https://openalex.org/W6804409665"],"related_works":["https://openalex.org/W1932159282","https://openalex.org/W4285537323","https://openalex.org/W2379312070","https://openalex.org/W2136173754","https://openalex.org/W2110050003","https://openalex.org/W2953025626","https://openalex.org/W2499081552","https://openalex.org/W2366053282","https://openalex.org/W1653644965","https://openalex.org/W2128788708"],"abstract_inverted_index":{"In":[0,64],"this":[1],"article,":[2],"a":[3,40,45],"novel":[4],"self-triggered":[5,132],"approximate":[6,60,95,133],"optimal":[7,61,96,134],"neuro-control":[8,62,97,135],"scheme":[9,136],"is":[10,36,54,81,113],"presented":[11],"for":[12],"nonlinear":[13,34,111],"systems":[14,127],"by":[15,38],"utilizing":[16],"adaptive":[17],"dynamic":[18],"programming":[19],"(ADP).":[20],"According":[21],"to":[22,56,66,87,117,137],"the":[23,28,32,51,59,68,70,74,89,94,100,106,109,129],"Bellman":[24],"principle":[25],"of":[26,31,93,102,108,124],"optimality,":[27],"cost":[29],"function":[30],"general":[33],"system":[35,112],"approximated":[37],"building":[39],"critic":[41],"neural":[42],"network":[43],"with":[44],"nested":[46],"updating":[47,90],"weight":[48],"vector.":[49],"Thus,":[50],"Hamilton-Jacobi-Bellman":[52],"equation":[53],"solved":[55],"indirectly":[57],"obtain":[58],"input.":[63],"order":[65],"reduce":[67],"computation,":[69],"communication":[71],"bandwidth,":[72],"and":[73,115,140],"energy":[75],"consumption,":[76],"an":[77,84],"appropriate":[78],"self-triggering":[79],"condition":[80],"designed":[82],"as":[83],"alternative":[85],"way":[86],"predict":[88],"time":[91],"instants":[92],"policy.":[98],"On":[99],"basis":[101],"Lyapunov's":[103],"direct":[104],"method,":[105],"stability":[107],"closed-loop":[110],"analyzed":[114],"guaranteed":[116],"be":[118,138],"uniformly":[119],"ultimately":[120],"bounded.":[121],"Simulation":[122],"results":[123],"two":[125],"practical":[126],"illustrate":[128],"present":[130],"ADP-based":[131],"reasonable":[139],"effective.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":15},{"year":2025,"cited_by_count":50},{"year":2024,"cited_by_count":11}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}