{"id":"https://openalex.org/W2897606877","doi":"https://doi.org/10.1109/tac.2018.2874707","title":"Near-Optimal Control for Time-Varying Linear Discrete Systems With Additive Nonlinearities and Random Gains","display_name":"Near-Optimal Control for Time-Varying Linear Discrete Systems With Additive Nonlinearities and Random Gains","publication_year":2018,"publication_date":"2018-10-09","ids":{"openalex":"https://openalex.org/W2897606877","doi":"https://doi.org/10.1109/tac.2018.2874707","mag":"2897606877"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2874707","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2874707","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/A5100364172","display_name":"Peng Zhang","orcid":"https://orcid.org/0000-0002-7518-4743"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Peng Zhang","raw_affiliation_strings":["School of Astronautics, Northwestern Polytechnical University, Xi'an, China"],"affiliations":[{"raw_affiliation_string":"School of Astronautics, Northwestern Polytechnical University, Xi'an, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100334733","display_name":"Yuan Yuan","orcid":"https://orcid.org/0000-0001-7964-6514"},"institutions":[{"id":"https://openalex.org/I59433898","display_name":"Brunel University of London","ror":"https://ror.org/00dn4t376","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I59433898"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Yuan Yuan","raw_affiliation_strings":["Department of Computer Science, Brunel University London, London, U.K"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Brunel University London, London, U.K","institution_ids":["https://openalex.org/I59433898"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100344279","display_name":"Lei Guo","orcid":"https://orcid.org/0000-0002-3061-2337"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Guo","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041101317","display_name":"Huaping Liu","orcid":"https://orcid.org/0000-0002-4042-6044"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huaping Liu","raw_affiliation_strings":["Department of Computer Science and Technology, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100364172"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":1.6155,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.85888204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"64","issue":"7","first_page":"2968","last_page":"2975"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12794","display_name":"Adaptive Dynamic Programming Control","score":0.9983999729156494,"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":0.9983999729156494,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9983000159263611,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9937000274658203,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6912755370140076},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.6897182464599609},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.6690576076507568},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.663263738155365},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5246615409851074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5165780782699585},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.48821619153022766},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4769641160964966},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.4757225811481476},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.47214439511299133},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4557700753211975},{"id":"https://openalex.org/keywords/linear-quadratic-gaussian-control","display_name":"Linear-quadratic-Gaussian control","score":0.45080795884132385},{"id":"https://openalex.org/keywords/horizon","display_name":"Horizon","score":0.44960007071495056},{"id":"https://openalex.org/keywords/time-horizon","display_name":"Time horizon","score":0.449090838432312},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.417819082736969},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.40330085158348083},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.3779049515724182},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37630903720855713},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.371307373046875},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1893032193183899},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.08402159810066223},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07786443829536438},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07226395606994629}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6912755370140076},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.6897182464599609},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.6690576076507568},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.663263738155365},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5246615409851074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5165780782699585},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.48821619153022766},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4769641160964966},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.4757225811481476},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.47214439511299133},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4557700753211975},{"id":"https://openalex.org/C204495892","wikidata":"https://www.wikidata.org/wiki/Q1798304","display_name":"Linear-quadratic-Gaussian control","level":3,"score":0.45080795884132385},{"id":"https://openalex.org/C159176650","wikidata":"https://www.wikidata.org/wiki/Q43261","display_name":"Horizon","level":2,"score":0.44960007071495056},{"id":"https://openalex.org/C28761237","wikidata":"https://www.wikidata.org/wiki/Q7805321","display_name":"Time horizon","level":2,"score":0.449090838432312},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.417819082736969},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.40330085158348083},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3779049515724182},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37630903720855713},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.371307373046875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1893032193183899},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.08402159810066223},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07786443829536438},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07226395606994629},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2018.2874707","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2874707","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":[],"awards":[{"id":"https://openalex.org/G6529654818","display_name":null,"funder_award_id":"11572248","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320320006","display_name":"Royal Society","ror":"https://ror.org/03wnrjx87"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W639349315","https://openalex.org/W1908712309","https://openalex.org/W1968452087","https://openalex.org/W2005127705","https://openalex.org/W2006798482","https://openalex.org/W2012451615","https://openalex.org/W2056261501","https://openalex.org/W2065523600","https://openalex.org/W2066856775","https://openalex.org/W2100358752","https://openalex.org/W2100861887","https://openalex.org/W2107704171","https://openalex.org/W2112284360","https://openalex.org/W2116877555","https://openalex.org/W2124210402","https://openalex.org/W2140355755","https://openalex.org/W2147341361","https://openalex.org/W2161971587","https://openalex.org/W2284707011","https://openalex.org/W2291387600","https://openalex.org/W2316765862","https://openalex.org/W2400682472","https://openalex.org/W2466291782","https://openalex.org/W2473491839","https://openalex.org/W2490234001","https://openalex.org/W2509783950","https://openalex.org/W2557498677","https://openalex.org/W2565244850","https://openalex.org/W2591880383","https://openalex.org/W2607952714","https://openalex.org/W2616932861","https://openalex.org/W2625183777","https://openalex.org/W2746630782","https://openalex.org/W2755700600","https://openalex.org/W2964229334"],"related_works":["https://openalex.org/W1999291921","https://openalex.org/W4245839115","https://openalex.org/W2111439273","https://openalex.org/W2144691561","https://openalex.org/W2107169685","https://openalex.org/W2115005925","https://openalex.org/W2101783086","https://openalex.org/W1998777431","https://openalex.org/W2466810109","https://openalex.org/W1489892216"],"abstract_inverted_index":{"In":[0],"this":[1,60],"technical":[2],"note,":[3],"the":[4,30,37,44,52,66,71,75,78,82,90,96,108,113],"near-optimal":[5,53],"control":[6,38,54],"problem":[7],"is":[8,33,56,63,86,104],"investigated":[9],"for":[10],"a":[11,101],"class":[12],"of":[13,43,74,81,112],"time-varying":[14,84],"linear":[15],"discrete":[16,48],"systems":[17],"subject":[18],"to":[19,35,95,106],"additive":[20],"nonlinearities":[21],"and":[22,110],"random":[23],"gains.":[24],"First,":[25],"certain":[26],"upper":[27,61,79],"bound":[28,62,80],"on":[29],"cost":[31],"function":[32],"proposed":[34,114],"quantify":[36],"performance.":[39],"Subsequently,":[40],"in":[41],"virtue":[42],"<italic":[45],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[46],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">time-varying</i>":[47],"Riccati-like":[49],"recursions":[50],"(DRLRs),":[51],"strategy":[55],"designed":[57],"such":[58],"that":[59],"minimized":[64],"over":[65,89],"finite":[67],"horizon.":[68],"To":[69],"reflect":[70],"steady-state":[72],"behavior":[73],"dynamic":[76],"system,":[77],"derived":[83],"DRLRs":[85],"also":[87],"analyzed":[88],"infinite":[91],"horizon":[92],"by":[93],"resorting":[94],"semidefinite":[97],"programming":[98],"method.":[99],"Finally,":[100],"numerical":[102],"example":[103],"provided":[105],"verify":[107],"validity":[109],"advantages":[111],"methodology.":[115]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
