{"id":"https://openalex.org/W2131418939","doi":"https://doi.org/10.1109/tac.2010.2052147","title":"The Multivariable Servomechanism Problem for Positive LTI Systems $ $","display_name":"The Multivariable Servomechanism Problem for Positive LTI Systems $ $","publication_year":2010,"publication_date":"2010-06-14","ids":{"openalex":"https://openalex.org/W2131418939","doi":"https://doi.org/10.1109/tac.2010.2052147","mag":"2131418939"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2052147","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2052147","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/A5006786271","display_name":"Bartek Roszak","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Bartek Roszak","raw_affiliation_strings":["Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","Edward S. Rogers Sr.Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Edward S. Rogers Sr.Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113557516","display_name":"E.J. Davison","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Edward J. Davison","raw_affiliation_strings":["Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","Edward S. Rogers Sr.Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ONT, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Edward S. Rogers Sr.Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":0.7221,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.78740111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"55","issue":"9","first_page":"2204","last_page":"2209"},"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":0.9991000294685364,"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":0.9991000294685364,"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":0.9955999851226807,"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/T11236","display_name":"Control Systems and Identification","score":0.9894000291824341,"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/control-theory","display_name":"Control theory (sociology)","score":0.8537031412124634},{"id":"https://openalex.org/keywords/servomechanism","display_name":"Servomechanism","score":0.7975276708602905},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6337700486183167},{"id":"https://openalex.org/keywords/multivariable-calculus","display_name":"Multivariable calculus","score":0.5975487232208252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5871894359588623},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.5781137347221375},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4355519115924835},{"id":"https://openalex.org/keywords/signal","display_name":"SIGNAL (programming language)","score":0.4144551157951355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2802343964576721},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22922301292419434},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.20099660754203796},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13938689231872559},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08185145258903503},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06346610188484192},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.061325669288635254}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8537031412124634},{"id":"https://openalex.org/C49503481","wikidata":"https://www.wikidata.org/wiki/Q640815","display_name":"Servomechanism","level":2,"score":0.7975276708602905},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6337700486183167},{"id":"https://openalex.org/C117312493","wikidata":"https://www.wikidata.org/wiki/Q2035437","display_name":"Multivariable calculus","level":2,"score":0.5975487232208252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5871894359588623},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.5781137347221375},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4355519115924835},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.4144551157951355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2802343964576721},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22922301292419434},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.20099660754203796},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13938689231872559},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08185145258903503},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06346610188484192},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.061325669288635254},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tac.2010.2052147","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2052147","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W76640975","https://openalex.org/W949202834","https://openalex.org/W1484417697","https://openalex.org/W1534430411","https://openalex.org/W1604304367","https://openalex.org/W1965191890","https://openalex.org/W1966065377","https://openalex.org/W1991579213","https://openalex.org/W1992927405","https://openalex.org/W2016280271","https://openalex.org/W2021317570","https://openalex.org/W2073540225","https://openalex.org/W2097185786","https://openalex.org/W2104484498","https://openalex.org/W2115907449","https://openalex.org/W2118255604","https://openalex.org/W2119774087","https://openalex.org/W2140000341","https://openalex.org/W2141548329","https://openalex.org/W2142203931","https://openalex.org/W2151719823","https://openalex.org/W2518113119","https://openalex.org/W4235143360","https://openalex.org/W4251279050","https://openalex.org/W6629049951"],"related_works":["https://openalex.org/W1576377477","https://openalex.org/W2224575301","https://openalex.org/W2721687755","https://openalex.org/W2086932047","https://openalex.org/W2388146630","https://openalex.org/W418212511","https://openalex.org/W1964208669","https://openalex.org/W2112363989","https://openalex.org/W1582951828","https://openalex.org/W4230881116"],"abstract_inverted_index":{"In":[0,22,66],"this":[1],"technical":[2],"note":[3],"we":[4,24,68,100],"study":[5],"the":[6,29,50,57,63,85,89,93,102,107,110],"servomechanism":[7,31],"problem":[8,32,108],"for":[9,33,42,49,84,109],"positive":[10,34],"open-loop":[11],"stable":[12],"LTI":[13],"systems":[14,35,54],"under":[15],"constant":[16,20],"tracking":[17,64],"signals":[18,80],"and":[19,48,78,99],"disturbances.":[21],"particular,":[23,67],"show":[25],"that":[26,105],"in":[27,55],"general":[28],"MIMO":[30,46],"is":[36,40,95],"not":[37],"solvable,":[38],"but":[39],"solvable":[41],"various":[43],"classes":[44],"of":[45,52,76,92,112],"systems,":[47],"class":[51],"SISO":[53],"which":[56],"disturbances":[58],"are":[59],"small":[60],"compared":[61],"to":[62,73],"signal.":[65],"give":[69],"existence":[70],"results":[71],"as":[72],"what":[74],"subclass":[75],"reference":[77],"disturbance":[79,116],"can":[81],"be":[82],"considered,":[83],"case":[86,111],"when":[87],"either":[88],"mathematical":[90],"model":[91],"plant":[94],"known":[96],"or":[97,114],"unknown,":[98],"provide":[101],"controller":[103],"structure":[104],"solves":[106],"measurable":[113],"unmeasurable":[115],"signals.":[117]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}