{"id":"https://openalex.org/W2057879271","doi":"https://doi.org/10.1109/icarcv.2012.6485258","title":"Disturbance attenuation for a class of uncertain polynomial discrete-time systems: An integrator approach","display_name":"Disturbance attenuation for a class of uncertain polynomial discrete-time systems: An integrator approach","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W2057879271","doi":"https://doi.org/10.1109/icarcv.2012.6485258","mag":"2057879271"},"language":"en","primary_location":{"id":"doi:10.1109/icarcv.2012.6485258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2012.6485258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 12th International Conference on Control Automation Robotics &amp; Vision (ICARCV)","raw_type":"proceedings-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/A5102730001","display_name":"Shakir Saat","orcid":"https://orcid.org/0000-0002-3981-0313"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":true,"raw_author_name":"Shakir Saat","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Auckland, Auckland, New Zealand","Department of Electrical and Computer Engineering, The University of Auckland, 92019 Auckland"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The University of Auckland, 92019 Auckland","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114377928","display_name":"Sing Kiong Nguang","orcid":"https://orcid.org/0000-0003-4527-0082"},"institutions":[{"id":"https://openalex.org/I154130895","display_name":"University of Auckland","ror":"https://ror.org/03b94tp07","country_code":"NZ","type":"education","lineage":["https://openalex.org/I154130895"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Sing Kiong Nguang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Auckland, Auckland, New Zealand","Department of Electrical and Computer Engineering, The University of Auckland, 92019 Auckland"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Auckland, Auckland, New Zealand","institution_ids":["https://openalex.org/I154130895"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The University of Auckland, 92019 Auckland","institution_ids":["https://openalex.org/I154130895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111798820","display_name":"Jie Wu","orcid":"https://orcid.org/0000-0001-5229-060X"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Wu","raw_affiliation_strings":["School of Electrical Power, South China University of Technology, Guangzhou, China","[School of Electrical Power, South China University of Technology, Guangzhou, China]"],"affiliations":[{"raw_affiliation_string":"School of Electrical Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"[School of Electrical Power, South China University of Technology, Guangzhou, China]","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005631278","display_name":"Guangbo Zeng","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guangbo Zeng","raw_affiliation_strings":["School of Electrical Power, South China University of Technology, Guangzhou, China","[School of Electrical Power, South China University of Technology, Guangzhou, China]"],"affiliations":[{"raw_affiliation_string":"School of Electrical Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"[School of Electrical Power, South China University of Technology, Guangzhou, China]","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5102730001"],"corresponding_institution_ids":["https://openalex.org/I154130895"],"apc_list":null,"apc_paid":null,"fwci":1.1261,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82462259,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"4","issue":null,"first_page":"787","last_page":"792"},"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":0.9994999766349792,"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":0.9994999766349792,"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":0.9890999794006348,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9873999953269958,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.7127647399902344},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.6341743469238281},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6112208366394043},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.555300772190094},{"id":"https://openalex.org/keywords/explained-sum-of-squares","display_name":"Explained sum of squares","score":0.5391765832901001},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.4963741898536682},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49457594752311707},{"id":"https://openalex.org/keywords/integrator","display_name":"Integrator","score":0.49267321825027466},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.48088791966438293},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.48072317242622375},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4658763110637665},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.42033886909484863},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3953028917312622},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.36707907915115356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3154459595680237},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1050519049167633},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09567314386367798}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.7127647399902344},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.6341743469238281},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6112208366394043},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.555300772190094},{"id":"https://openalex.org/C49847556","wikidata":"https://www.wikidata.org/wiki/Q3964631","display_name":"Explained sum of squares","level":2,"score":0.5391765832901001},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.4963741898536682},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49457594752311707},{"id":"https://openalex.org/C79518650","wikidata":"https://www.wikidata.org/wiki/Q2081431","display_name":"Integrator","level":3,"score":0.49267321825027466},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.48088791966438293},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.48072317242622375},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4658763110637665},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.42033886909484863},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3953028917312622},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.36707907915115356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3154459595680237},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1050519049167633},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09567314386367798},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icarcv.2012.6485258","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icarcv.2012.6485258","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2012 12th International Conference on Control Automation Robotics &amp; Vision (ICARCV)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1496537269","https://openalex.org/W1578630563","https://openalex.org/W1591868040","https://openalex.org/W1600946983","https://openalex.org/W1969358234","https://openalex.org/W2003232014","https://openalex.org/W2026452564","https://openalex.org/W2042741865","https://openalex.org/W2045689494","https://openalex.org/W2068338643","https://openalex.org/W2122126317","https://openalex.org/W2129122395","https://openalex.org/W2133079892","https://openalex.org/W2133404041","https://openalex.org/W2155724501","https://openalex.org/W2156022977","https://openalex.org/W2164484193","https://openalex.org/W2912522929","https://openalex.org/W3210839039","https://openalex.org/W6679433389","https://openalex.org/W6684061903"],"related_works":["https://openalex.org/W2493494838","https://openalex.org/W2963700124","https://openalex.org/W2624196447","https://openalex.org/W2077924482","https://openalex.org/W2181320377","https://openalex.org/W4297923520","https://openalex.org/W2771160919","https://openalex.org/W4301659259","https://openalex.org/W4298028631","https://openalex.org/W1571037741"],"abstract_inverted_index":{"This":[0,39],"paper":[1],"investigates":[2],"the":[3,42,46,77,91,99,108,133,141],"problem":[4,29],"of":[5,11,93,101,119,121,140],"disturbance":[6],"attenuation":[7],"for":[8,98,110],"a":[9,27,36,59,66,82,102,111,147],"class":[10],"uncertain":[12],"polynomial":[13,112,122],"discrete-time":[14,113],"systems":[15],"with":[16,107],"an":[17,72],"H":[18],"<sub":[19],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221e</sub>":[21],"performance.":[22],"In":[23,63],"general,":[24],"this":[25,64],"is":[26,40,49,69,74,144],"difficult":[28],"because":[30,41],"it":[31,54],"cannot":[32,55],"be":[33,56,86,130],"formulated":[34],"as":[35],"convex":[37,83],"problem.":[38],"Lyapunov":[43],"function":[44],"and":[45],"control":[47],"input":[48],"not":[50],"jointly":[51],"convex.":[52],"Hence":[53],"solved":[57,131],"by":[58,132],"semidefinite":[60],"programming":[61],"(SDP).":[62],"paper,":[65],"novel":[67],"approach":[68],"proposed,":[70],"where":[71],"integrator":[73,109],"introduced":[75],"into":[76],"controller":[78,106],"structures":[79],"so":[80],"that":[81],"solution":[84],"can":[85],"obtained.":[87],"Furthermore,":[88],"based":[89],"on":[90],"sum":[92],"squares":[94],"approach,":[95],"sufficient":[96],"conditions":[97],"existence":[100],"proposed":[103,142],"nonlinear":[104],"feedback":[105],"system":[114],"are":[115,128],"given":[116],"in":[117],"terms":[118],"solvability":[120],"matrix":[123],"inequalities":[124,127],"(PMIs).":[125],"These":[126],"then":[129],"recently":[134],"developed":[135],"SOS":[136],"solvers.":[137],"The":[138],"validity":[139],"method":[143],"confirmed":[145],"through":[146],"tunnel":[148],"diode":[149],"circuit.":[150]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
