{"id":"https://openalex.org/W3216977363","doi":"https://doi.org/10.1109/lcsys.2021.3130638","title":"Proportional Tracking Control of Positive Linear Systems","display_name":"Proportional Tracking Control of Positive Linear Systems","publication_year":2021,"publication_date":"2021-11-25","ids":{"openalex":"https://openalex.org/W3216977363","doi":"https://doi.org/10.1109/lcsys.2021.3130638","mag":"3216977363"},"language":"en","primary_location":{"id":"doi:10.1109/lcsys.2021.3130638","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2021.3130638","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","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/A5010625452","display_name":"Nachuan Yang","orcid":"https://orcid.org/0000-0002-3276-1790"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Nachuan Yang","raw_affiliation_strings":["Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0002-3276-1790","affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003724643","display_name":"Yuzhe Li","orcid":"https://orcid.org/0000-0001-8645-7201"},"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":"Yuzhe Li","raw_affiliation_strings":["State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China"],"raw_orcid":"https://orcid.org/0000-0001-8645-7201","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":"last","author":{"id":"https://openalex.org/A5007329669","display_name":"Ling Shi","orcid":"https://orcid.org/0000-0002-6771-8258"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Ling Shi","raw_affiliation_strings":["Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong"],"raw_orcid":"https://orcid.org/0000-0002-6771-8258","affiliations":[{"raw_affiliation_string":"Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.9878,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.73889783,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"6","issue":null,"first_page":"1670","last_page":"1675"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998000264167786,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9998000264167786,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.996399998664856,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/bisection-method","display_name":"Bisection method","score":0.7890232801437378},{"id":"https://openalex.org/keywords/tracking","display_name":"Tracking (education)","score":0.6496630311012268},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6493569612503052},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5996161103248596},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5898852348327637},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5827078819274902},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.553577184677124},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5498074889183044},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5495796799659729},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.5234507918357849},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5233399271965027},{"id":"https://openalex.org/keywords/state-space","display_name":"State space","score":0.4611843228340149},{"id":"https://openalex.org/keywords/full-state-feedback","display_name":"Full state feedback","score":0.4559304416179657},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.43820473551750183},{"id":"https://openalex.org/keywords/iterative-learning-control","display_name":"Iterative learning control","score":0.43472820520401},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43367108702659607},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41517969965934753},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.26980069279670715},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.14554500579833984},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06915172934532166}],"concepts":[{"id":"https://openalex.org/C157544257","wikidata":"https://www.wikidata.org/wiki/Q866300","display_name":"Bisection method","level":2,"score":0.7890232801437378},{"id":"https://openalex.org/C2775936607","wikidata":"https://www.wikidata.org/wiki/Q466845","display_name":"Tracking (education)","level":2,"score":0.6496630311012268},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6493569612503052},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5996161103248596},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5898852348327637},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5827078819274902},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.553577184677124},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5498074889183044},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5495796799659729},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.5234507918357849},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5233399271965027},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.4611843228340149},{"id":"https://openalex.org/C204322392","wikidata":"https://www.wikidata.org/wiki/Q925922","display_name":"Full state feedback","level":3,"score":0.4559304416179657},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.43820473551750183},{"id":"https://openalex.org/C117619785","wikidata":"https://www.wikidata.org/wiki/Q6094414","display_name":"Iterative learning control","level":3,"score":0.43472820520401},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43367108702659607},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41517969965934753},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.26980069279670715},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.14554500579833984},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06915172934532166},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C19417346","wikidata":"https://www.wikidata.org/wiki/Q7922","display_name":"Pedagogy","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/lcsys.2021.3130638","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcsys.2021.3130638","pdf_url":null,"source":{"id":"https://openalex.org/S4306422535","display_name":"IEEE Control Systems Letters","issn_l":"2475-1456","issn":["2475-1456"],"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 Control Systems Letters","raw_type":"journal-article"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-115756","is_oa":false,"landing_page_url":"http://lbdiscover.ust.hk/uresolver?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rfr_id=info:sid/HKUST:SPI&rft.genre=article&rft.issn=2475-1456&rft.volume=v. 6&rft.issue=&rft.date=2022&rft.spage=1670&rft.aulast=Yang&rft.aufirst=N.&rft.atitle=Proportional+Tracking+Control+of+Positive+Linear+Systems&rft.title=IEEE+Control+Systems+Letters","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:repository.ust.hk:1783.1-115756","is_oa":false,"landing_page_url":"http://repository.ust.hk/ir/Record/1783.1-115756","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3560416450","display_name":null,"funder_award_id":"XLYC1907087","funder_id":"https://openalex.org/F4320329895","funder_display_name":"Liaoning Revitalization Talents Program"},{"id":"https://openalex.org/G5846804139","display_name":null,"funder_award_id":"61890924","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5898287775","display_name":null,"funder_award_id":"61991404","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G864779699","display_name":"Privacy-aware Networked Control: A Strategic Information Transmission Approach","funder_award_id":"16206620","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320329895","display_name":"Liaoning Revitalization Talents Program","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1484417697","https://openalex.org/W1593668144","https://openalex.org/W2016789345","https://openalex.org/W2079185449","https://openalex.org/W2079629840","https://openalex.org/W2084568818","https://openalex.org/W2101037112","https://openalex.org/W2119774087","https://openalex.org/W2131032422","https://openalex.org/W2131859950","https://openalex.org/W2145067072","https://openalex.org/W2155039147","https://openalex.org/W2163271740","https://openalex.org/W2343318563","https://openalex.org/W2561113439","https://openalex.org/W2765419504","https://openalex.org/W2798116805","https://openalex.org/W2911278547","https://openalex.org/W2979727209","https://openalex.org/W3011495404","https://openalex.org/W3213914768","https://openalex.org/W4235143360","https://openalex.org/W4238545949"],"related_works":["https://openalex.org/W2102092709","https://openalex.org/W1808520126","https://openalex.org/W2020788389","https://openalex.org/W1525431020","https://openalex.org/W2147442790","https://openalex.org/W2379295215","https://openalex.org/W4728229","https://openalex.org/W2089102366","https://openalex.org/W4387410785","https://openalex.org/W2143900412"],"abstract_inverted_index":{"This":[0],"letter":[1],"considers":[2],"the":[3,75],"reference":[4,23],"tracking":[5,29,44],"of":[6],"positive":[7],"linear":[8,66],"systems":[9,37,49],"via":[10,38],"a":[11,21,39,53,58],"proportional":[12,43],"controller,":[13],"which":[14],"remains":[15],"an":[16],"open":[17],"problem.":[18],"Through":[19],"using":[20,64],"virtual":[22],"method":[24],"in":[25],"state-space":[26],"models,":[27],"optimal":[28],"performance":[30],"is":[31,50,61],"guaranteed":[32],"for":[33,45],"single-input":[34],"multi-output":[35,47],"(SIMO)":[36],"bisection":[40],"method.":[41],"The":[42],"multi-input":[46],"(MIMO)":[48],"reformulated":[51],"as":[52],"bi-convex":[54],"programming":[55],"problem":[56],"and":[57],"convergence-guaranteed":[59],"algorithm":[60],"developed":[62],"through":[63],"iterative":[65],"matrix":[67],"inequalities.":[68],"Numerical":[69],"simulations":[70],"are":[71],"provided":[72],"to":[73],"verify":[74],"proposed":[76],"results.":[77]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}