{"id":"https://openalex.org/W7165753032","doi":"https://doi.org/10.1016/j.jfranklin.2026.108855","title":"Optimal control of affine nonlinear systems: A novel actor-critic approach integrating wavelet filtering","display_name":"Optimal control of affine nonlinear systems: A novel actor-critic approach integrating wavelet filtering","publication_year":2026,"publication_date":"2026-06-24","ids":{"openalex":"https://openalex.org/W7165753032","doi":"https://doi.org/10.1016/j.jfranklin.2026.108855"},"language":"en","primary_location":{"id":"doi:10.1016/j.jfranklin.2026.108855","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2026.108855","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","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/A5102932903","display_name":"Wenxin Guo","orcid":"https://orcid.org/0000-0002-5103-728X"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenxin Guo","raw_affiliation_strings":["Rocket Force University of Engineering, Xi\u2019an, 710025, China"],"raw_orcid":"https://orcid.org/0000-0002-5103-728X","affiliations":[{"raw_affiliation_string":"Rocket Force University of Engineering, Xi\u2019an, 710025, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044267197","display_name":"Weiwei Qin","orcid":"https://orcid.org/0000-0001-6479-336X"},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Weiwei Qin","raw_affiliation_strings":["Rocket Force University of Engineering, Xi\u2019an, 710025, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rocket Force University of Engineering, Xi\u2019an, 710025, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084980021","display_name":"J Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I2801618472","display_name":"PLA Rocket Force University of Engineering","ror":"https://ror.org/00gg5zj35","country_code":"CN","type":"education","lineage":["https://openalex.org/I2801618472"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jieyu Liu","raw_affiliation_strings":["Rocket Force University of Engineering, Xi\u2019an, 710025, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Rocket Force University of Engineering, Xi\u2019an, 710025, China","institution_ids":["https://openalex.org/I2801618472"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006277484","display_name":"Xuguang Lan","orcid":"https://orcid.org/0000-0002-3422-944X"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuguang Lan","raw_affiliation_strings":["Xi\u2019an Jiaotong University, Xi\u2019an, 710049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Xi\u2019an Jiaotong University, Xi\u2019an, 710049, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5044267197"],"corresponding_institution_ids":["https://openalex.org/I2801618472"],"apc_list":{"value":2700,"currency":"USD","value_usd":2700},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.83785552,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"363","issue":"12","first_page":"108855","last_page":"108855"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9165999889373779,"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":0.9165999889373779,"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":0.018400000408291817,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.014100000262260437,"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/bounded-function","display_name":"Bounded function","score":0.576200008392334},{"id":"https://openalex.org/keywords/wavelet","display_name":"Wavelet","score":0.5716999769210815},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5314000248908997},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5006999969482422},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.49619999527931213},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.49549999833106995},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.4740999937057495},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.4526999890804291},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44679999351501465}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6087999939918518},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.576200008392334},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"score":0.5716999769210815},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5314000248908997},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5006999969482422},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.49619999527931213},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.49549999833106995},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.4740999937057495},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44679999351501465},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.426800012588501},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4115000069141388},{"id":"https://openalex.org/C156387681","wikidata":"https://www.wikidata.org/wiki/Q6059484","display_name":"Invariance principle","level":2,"score":0.3646000027656555},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3578999936580658},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31839999556541443},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"score":0.3100999891757965},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.3043999969959259},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2973000109195709},{"id":"https://openalex.org/C137685913","wikidata":"https://www.wikidata.org/wiki/Q4316763","display_name":"Nonlinear filter","level":4,"score":0.29339998960494995},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.28760001063346863},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.2856000065803528},{"id":"https://openalex.org/C107464732","wikidata":"https://www.wikidata.org/wiki/Q235781","display_name":"Adaptive control","level":3,"score":0.2782000005245209},{"id":"https://openalex.org/C122383733","wikidata":"https://www.wikidata.org/wiki/Q865920","display_name":"Approximation error","level":2,"score":0.26899999380111694},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.2612000107765198},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.26100000739097595},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.2529999911785126},{"id":"https://openalex.org/C91581856","wikidata":"https://www.wikidata.org/wiki/Q2707001","display_name":"Nonlinear control","level":3,"score":0.2513999938964844},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.25119999051094055}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.jfranklin.2026.108855","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.jfranklin.2026.108855","pdf_url":null,"source":{"id":"https://openalex.org/S183498172","display_name":"Journal of the Franklin Institute","issn_l":"0016-0032","issn":["0016-0032","1879-2693"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the Franklin Institute","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.5397917628288269}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W2048687352","https://openalex.org/W2771641782","https://openalex.org/W2887344203","https://openalex.org/W3094638344","https://openalex.org/W3114263192","https://openalex.org/W3156476459","https://openalex.org/W3156587271","https://openalex.org/W3163501229","https://openalex.org/W3172934943","https://openalex.org/W3200276130","https://openalex.org/W4205501012","https://openalex.org/W4226250466","https://openalex.org/W4283727098","https://openalex.org/W4285279948","https://openalex.org/W4307772200","https://openalex.org/W4319997953","https://openalex.org/W4321609042","https://openalex.org/W4364856217","https://openalex.org/W4383551822","https://openalex.org/W4388076083","https://openalex.org/W4388579564","https://openalex.org/W4389104903","https://openalex.org/W4389459105","https://openalex.org/W4390848202","https://openalex.org/W4393931998","https://openalex.org/W4396650127","https://openalex.org/W4401972776","https://openalex.org/W4402809058","https://openalex.org/W4405755185","https://openalex.org/W4405835947","https://openalex.org/W4406610729","https://openalex.org/W4407366786","https://openalex.org/W4407626476","https://openalex.org/W4410226722","https://openalex.org/W4413087750","https://openalex.org/W4413855649"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-30T06:16:30.551410","created_date":"2026-06-25T00:00:00"}