{"id":"https://openalex.org/W4365420335","doi":"https://doi.org/10.1109/tac.2023.3266508","title":"Understanding the Capability of PD Control for Uncertain Stochastic Systems","display_name":"Understanding the Capability of PD Control for Uncertain Stochastic Systems","publication_year":2023,"publication_date":"2023-04-12","ids":{"openalex":"https://openalex.org/W4365420335","doi":"https://doi.org/10.1109/tac.2023.3266508"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2023.3266508","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3266508","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/A5101869459","display_name":"Cheng Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Cheng Zhao","raw_affiliation_strings":["Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036238256","display_name":"Yanbin Zhang","orcid":"https://orcid.org/0009-0005-1910-0014"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yanbin Zhang","raw_affiliation_strings":["Beijing SciMath International Education Technology Company, Ltd., Beijing, China"],"affiliations":[{"raw_affiliation_string":"Beijing SciMath International Education Technology Company, Ltd., Beijing, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101869459"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"],"apc_list":null,"apc_paid":null,"fwci":2.8141,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.90488812,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"69","issue":"1","first_page":"495","last_page":"502"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9987000226974487,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9980999827384949,"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/T10876","display_name":"Fault Detection and Control Systems","score":0.9926000237464905,"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/computer-science","display_name":"Computer science","score":0.524612307548523},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.48758500814437866},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.48287060856819153},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.46163415908813477},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.4470337927341461},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.25284141302108765},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15864130854606628}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.524612307548523},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.48758500814437866},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.48287060856819153},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.46163415908813477},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.4470337927341461},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.25284141302108765},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15864130854606628},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2023.3266508","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2023.3266508","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/G4924973332","display_name":null,"funder_award_id":"U22B6001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G668091239","display_name":null,"funder_award_id":"4232059","funder_id":"https://openalex.org/F4320322919","funder_display_name":"Natural Science Foundation of Beijing Municipality"},{"id":"https://openalex.org/G8533620077","display_name":null,"funder_award_id":"12288201","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/F4320322919","display_name":"Natural Science Foundation of Beijing Municipality","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1561789346","https://openalex.org/W1999842853","https://openalex.org/W2042994047","https://openalex.org/W2048603489","https://openalex.org/W2087232315","https://openalex.org/W2098081686","https://openalex.org/W2135493101","https://openalex.org/W2142350423","https://openalex.org/W2144860711","https://openalex.org/W2160882803","https://openalex.org/W2283952362","https://openalex.org/W2576097227","https://openalex.org/W2578154675","https://openalex.org/W2596137845","https://openalex.org/W2782712921","https://openalex.org/W2842303777","https://openalex.org/W2999467926","https://openalex.org/W3009502619","https://openalex.org/W3017003242","https://openalex.org/W3093266845","https://openalex.org/W3111388643","https://openalex.org/W3132889232","https://openalex.org/W4295929647"],"related_works":["https://openalex.org/W2615607975","https://openalex.org/W2355865573","https://openalex.org/W2155981143","https://openalex.org/W2155245395","https://openalex.org/W2192101006","https://openalex.org/W2116800748","https://openalex.org/W2638730922","https://openalex.org/W2190465783","https://openalex.org/W2027827693","https://openalex.org/W2381267592"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3],"focus":[4],"on":[5,121,129],"the":[6,20,24,31,35,42,52,60,66,73,87,106,115,122,143,149,155],"global":[7],"stabilizability":[8],"problem":[9],"for":[10,109],"a":[11,77,96,126],"class":[12],"of":[13,30,69,72,158],"uncertain":[14],"stochastic":[15,112],"control":[16,36,47,123],"systems,":[17],"where":[18,114],"both":[19],"drift":[21],"term":[22,26,117],"and":[23,34,152],"diffusion":[25,116],"are":[27],"nonlinear":[28,74],"functions":[29,75],"state":[32],"variables":[33],"variables.":[37,124],"We":[38],"will":[39,82],"show":[40],"that":[41,65,86],"widely":[43],"applied":[44],"proportional\u2013derivative":[45],"(PD)":[46],"in":[48,59],"engineering":[49],"practice":[50],"has":[51],"ability":[53],"to":[54,138],"globally":[55],"stabilize":[56],"such":[57],"systems":[58,113],"mean":[61],"square":[62],"sense,":[63],"provided":[64],"upper":[67],"bounds":[68,131],"partial":[70],"derivatives":[71],"satisfy":[76],"certain":[78],"algebraic":[79],"inequality.":[80],"It":[81],"also":[83],"be":[84,93,136],"proved":[85],"stabilizing":[88],"PD":[89,110,150,159],"parameters":[90],"can":[91,135],"only":[92],"selected":[94],"from":[95,105],"two":[97],"dimensional":[98],"bounded":[99],"convex":[100],"set,":[101],"which":[102,134],"differs":[103],"significantly":[104],"existing":[107],"results":[108],"controlled":[111],"does":[118],"not":[119,146],"depend":[120],"Moreover,":[125],"particular":[127],"polynomial":[128],"these":[130],"is":[132,145],"introduced,":[133],"used":[137],"determine":[139],"under":[140],"what":[141],"conditions":[142],"system":[144],"stabilizable":[147],"by":[148],"control,":[151],"thus":[153],"demonstrating":[154],"fundamental":[156],"limitations":[157],"control.":[160]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
