{"id":"https://openalex.org/W2033030672","doi":"https://doi.org/10.1109/tase.2014.2303139","title":"Neural-Network-Based Constrained Optimal Control Scheme for Discrete-Time Switched Nonlinear System Using Dual Heuristic Programming","display_name":"Neural-Network-Based Constrained Optimal Control Scheme for Discrete-Time Switched Nonlinear System Using Dual Heuristic Programming","publication_year":2014,"publication_date":"2014-02-10","ids":{"openalex":"https://openalex.org/W2033030672","doi":"https://doi.org/10.1109/tase.2014.2303139","mag":"2033030672"},"language":"en","primary_location":{"id":"doi:10.1109/tase.2014.2303139","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2014.2303139","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","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/A5100625792","display_name":"Huaguang Zhang","orcid":"https://orcid.org/0000-0002-2375-9824"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Huaguang Zhang","raw_affiliation_strings":["State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069540002","display_name":"Chunbin Qin","orcid":"https://orcid.org/0000-0002-8238-5922"},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunbin Qin","raw_affiliation_strings":["Basic Experiment Teaching Center, Henan University, Kaifeng, Henan, China"],"affiliations":[{"raw_affiliation_string":"Basic Experiment Teaching Center, Henan University, Kaifeng, Henan, China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064721860","display_name":"Yanhong Luo","orcid":"https://orcid.org/0000-0001-6898-7903"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanhong Luo","raw_affiliation_strings":["College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, China","institution_ids":["https://openalex.org/I9224756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100625792"],"corresponding_institution_ids":["https://openalex.org/I9224756"],"apc_list":null,"apc_paid":null,"fwci":32.5373,"has_fulltext":false,"cited_by_count":230,"citation_normalized_percentile":{"value":0.99861212,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"11","issue":"3","first_page":"839","last_page":"849"},"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9775000214576721,"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/T10462","display_name":"Reinforcement Learning in Robotics","score":0.958299994468689,"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":0.6347579956054688},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5998576283454895},{"id":"https://openalex.org/keywords/hamilton\u2013jacobi\u2013bellman-equation","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","score":0.5747551321983337},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5612730383872986},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5505764484405518},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5443927049636841},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5212146043777466},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.5177140235900879},{"id":"https://openalex.org/keywords/actuator","display_name":"Actuator","score":0.48404067754745483},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4650111794471741},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46113860607147217},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.4600294828414917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41568782925605774},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13456672430038452},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08834221959114075}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6347579956054688},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5998576283454895},{"id":"https://openalex.org/C196978813","wikidata":"https://www.wikidata.org/wiki/Q3302775","display_name":"Hamilton\u2013Jacobi\u2013Bellman equation","level":3,"score":0.5747551321983337},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5612730383872986},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5505764484405518},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5443927049636841},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5212146043777466},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.5177140235900879},{"id":"https://openalex.org/C172707124","wikidata":"https://www.wikidata.org/wiki/Q423488","display_name":"Actuator","level":2,"score":0.48404067754745483},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4650111794471741},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46113860607147217},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.4600294828414917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41568782925605774},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13456672430038452},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08834221959114075},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/tase.2014.2303139","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tase.2014.2303139","pdf_url":null,"source":{"id":"https://openalex.org/S34881539","display_name":"IEEE Transactions on Automation Science and Engineering","issn_l":"1545-5955","issn":["1545-5955","1558-3783"],"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 Automation Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7400000095367432,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"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":50,"referenced_works":["https://openalex.org/W560518094","https://openalex.org/W1552094772","https://openalex.org/W1577858716","https://openalex.org/W1601081659","https://openalex.org/W1967468346","https://openalex.org/W1976148074","https://openalex.org/W1981323954","https://openalex.org/W1983523797","https://openalex.org/W1987860272","https://openalex.org/W2001864638","https://openalex.org/W2002795836","https://openalex.org/W2010565608","https://openalex.org/W2034530421","https://openalex.org/W2043941346","https://openalex.org/W2051338416","https://openalex.org/W2052305027","https://openalex.org/W2060445026","https://openalex.org/W2089595273","https://openalex.org/W2093070223","https://openalex.org/W2093831009","https://openalex.org/W2105979811","https://openalex.org/W2107005923","https://openalex.org/W2107278508","https://openalex.org/W2110040537","https://openalex.org/W2111980775","https://openalex.org/W2117271243","https://openalex.org/W2120249358","https://openalex.org/W2132858840","https://openalex.org/W2134930569","https://openalex.org/W2136064843","https://openalex.org/W2137092694","https://openalex.org/W2137983211","https://openalex.org/W2145030746","https://openalex.org/W2148439597","https://openalex.org/W2152161277","https://openalex.org/W2153618238","https://openalex.org/W2159373865","https://openalex.org/W2160389551","https://openalex.org/W2160561608","https://openalex.org/W2165501837","https://openalex.org/W2169462064","https://openalex.org/W2172104678","https://openalex.org/W2476930474","https://openalex.org/W2484646121","https://openalex.org/W2487144912","https://openalex.org/W4205326910","https://openalex.org/W4234051638","https://openalex.org/W6659199190","https://openalex.org/W6676240002","https://openalex.org/W6682805322"],"related_works":["https://openalex.org/W2921905705","https://openalex.org/W118270679","https://openalex.org/W4255265352","https://openalex.org/W1632524629","https://openalex.org/W4239477580","https://openalex.org/W2052286527","https://openalex.org/W3103991047","https://openalex.org/W3144229288","https://openalex.org/W2545178307","https://openalex.org/W2160996072"],"abstract_inverted_index":{"In":[0],"this":[1,84],"paper,":[2],"a":[3,20,32],"novel":[4,33],"iterative":[5,49],"two-stage":[6,50,76],"dual":[7],"heuristic":[8],"programming":[9],"(DHP)":[10],"is":[11,37,53],"proposed":[12,118],"to":[13,28,39,55,96,112],"solve":[14,56],"the":[15,44,48,57,62,66,70,75,98,102,114,117],"optimal":[16],"control":[17,41,104],"problems":[18],"for":[19],"class":[21],"of":[22,43,61,74,116],"discrete-time":[23],"switched":[24,63],"nonlinear":[25],"systems":[26],"subject":[27],"actuators":[29],"saturation.":[30],"First,":[31],"nonquadratic":[34],"performance":[35],"functional":[36],"introduced":[38],"confront":[40],"constraints":[42],"saturating":[45,67],"actuator.":[46,68],"Then,":[47],"DHP":[51,77],"algorithm":[52,78,85],"developed":[54],"Hamilton-Jacobi-Bellman":[58],"(HJB)":[59],"equation":[60],"system":[64],"with":[65],"Moreover,":[69],"convergence":[71],"and":[72,101],"optimality":[73],"are":[79,88,110],"strictly":[80],"proven.":[81],"To":[82],"implement":[83],"efficiently,":[86],"there":[87],"two":[89],"neural":[90],"networks":[91],"used":[92],"as":[93],"parametric":[94],"structure":[95],"approximate":[97],"costate":[99],"function":[100],"corresponding":[103],"law,":[105],"respectively.":[106],"Finally,":[107],"simulation":[108],"results":[109],"given":[111],"verify":[113],"effectiveness":[115],"algorithm.":[119]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":14},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":29},{"year":2019,"cited_by_count":17},{"year":2018,"cited_by_count":27},{"year":2017,"cited_by_count":33},{"year":2016,"cited_by_count":35},{"year":2015,"cited_by_count":20},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-23T09:07:50.710637","created_date":"2025-10-10T00:00:00"}
