{"id":"https://openalex.org/W2053460936","doi":"https://doi.org/10.1109/tac.2014.2299353","title":"Necessary and Sufficient LMI Conditions for Stability and Performance Analysis of 2-D Mixed Continuous-Discrete-Time Systems","display_name":"Necessary and Sufficient LMI Conditions for Stability and Performance Analysis of 2-D Mixed Continuous-Discrete-Time Systems","publication_year":2014,"publication_date":"2014-01-31","ids":{"openalex":"https://openalex.org/W2053460936","doi":"https://doi.org/10.1109/tac.2014.2299353","mag":"2053460936"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2299353","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2299353","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/A5054609231","display_name":"Graziano Chesi","orcid":"https://orcid.org/0000-0003-4214-4224"},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Graziano Chesi","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong","Dept. of Electr. & Electron. Engg, Univ. of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, The University of Hong Kong, Hong Kong","institution_ids":["https://openalex.org/I889458895"]},{"raw_affiliation_string":"Dept. of Electr. & Electron. Engg, Univ. of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024431633","display_name":"Richard H. Middleton","orcid":"https://orcid.org/0000-0001-9885-8803"},"institutions":[{"id":"https://openalex.org/I78757542","display_name":"University of Newcastle Australia","ror":"https://ror.org/00eae9z71","country_code":"AU","type":"education","lineage":["https://openalex.org/I78757542"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Richard H. Middleton","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, The University of Newcastle, Newcastle, Australia","Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Newcastle, NSW, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, The University of Newcastle, Newcastle, Australia","institution_ids":["https://openalex.org/I78757542"]},{"raw_affiliation_string":"Sch. of Electr. Eng. & Comput. Sci., Univ. of Newcastle, Newcastle, NSW, Australia#TAB#","institution_ids":["https://openalex.org/I78757542"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054609231"],"corresponding_institution_ids":["https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":13.9242,"has_fulltext":false,"cited_by_count":84,"citation_normalized_percentile":{"value":0.98921731,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"59","issue":"4","first_page":"996","last_page":"1007"},"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":1.0,"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":1.0,"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":0.9958999752998352,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9945999979972839,"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/mathematics","display_name":"Mathematics","score":0.7129111289978027},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.6877135038375854},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5868380665779114},{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.5468031167984009},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.5465337038040161},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5380473136901855},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5154774785041809},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5026016235351562},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4956446886062622},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4864194393157959},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45106321573257446},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.43731561303138733},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4255082607269287},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4167574644088745},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.38334280252456665},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.3438454866409302},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17539912462234497},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10987332463264465},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07991254329681396},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.07424840331077576}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7129111289978027},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.6877135038375854},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5868380665779114},{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.5468031167984009},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.5465337038040161},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5380473136901855},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5154774785041809},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5026016235351562},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4956446886062622},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4864194393157959},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45106321573257446},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.43731561303138733},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4255082607269287},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4167574644088745},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.38334280252456665},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3438454866409302},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17539912462234497},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10987332463264465},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07991254329681396},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.07424840331077576},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","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/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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2014.2299353","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2299353","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"},{"id":"pmh:oai:hub.hku.hk:10722/199077","is_oa":false,"landing_page_url":"http://hdl.handle.net/10722/199077","pdf_url":null,"source":{"id":"https://openalex.org/S4377196271","display_name":"The HKU Scholars Hub (University of Hong Kong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I889458895","host_organization_name":"University of Hong Kong","host_organization_lineage":["https://openalex.org/I889458895"],"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"},{"id":"pmh:uon:20677","is_oa":false,"landing_page_url":"http://hdl.handle.net/1959.13/1303578","pdf_url":null,"source":{"id":"https://openalex.org/S4377196471","display_name":"NOVA (University of Newcastle Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I78757542","host_organization_name":"University of Newcastle Australia","host_organization_lineage":["https://openalex.org/I78757542"],"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":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1513515943","https://openalex.org/W1528301553","https://openalex.org/W1544575528","https://openalex.org/W1556537055","https://openalex.org/W1780602864","https://openalex.org/W1809069115","https://openalex.org/W1967073510","https://openalex.org/W1969463247","https://openalex.org/W1972848510","https://openalex.org/W1998357391","https://openalex.org/W2008466921","https://openalex.org/W2031993719","https://openalex.org/W2069242898","https://openalex.org/W2074217064","https://openalex.org/W2079032022","https://openalex.org/W2116185233","https://openalex.org/W2128896967","https://openalex.org/W2141427736","https://openalex.org/W2155194924","https://openalex.org/W2155724501","https://openalex.org/W2157192413","https://openalex.org/W2162177557","https://openalex.org/W2166180798","https://openalex.org/W2166728224","https://openalex.org/W2167094764","https://openalex.org/W2236733791","https://openalex.org/W2541221497","https://openalex.org/W2555521473","https://openalex.org/W4234844164","https://openalex.org/W6633585224","https://openalex.org/W6677197088","https://openalex.org/W6729126796","https://openalex.org/W7042858086"],"related_works":["https://openalex.org/W1983756092","https://openalex.org/W2381295697","https://openalex.org/W2385886188","https://openalex.org/W579949368","https://openalex.org/W2092089517","https://openalex.org/W2378309693","https://openalex.org/W1965992231","https://openalex.org/W2181320377","https://openalex.org/W2060195842","https://openalex.org/W2502654177"],"abstract_inverted_index":{"This":[0,105],"paper":[1,36],"proposes":[2],"necessary":[3,84,108,157],"and":[4,9,57,83,109,111,158],"sufficient":[5,73,159],"conditions":[6],"for":[7,40,74,85,98,122,163],"stability":[8,42,100],"performance":[10],"analysis":[11],"of":[12,34,47,61,78,115,139,167],"2-D":[13,140],"mixed":[14,141],"continuous-discrete-time":[15,142],"systems":[16,143],"that":[17,69],"can":[18,144],"be":[19,145],"checked":[20],"with":[21],"convex":[22],"optimization,":[23],"in":[24],"particular":[25],"linear":[26],"matrix":[27,64],"inequalities":[28],"(LMIs).":[29],"Specifically,":[30],"the":[31,35,45,59,62,79,113,126,136,165,168],"first":[32],"contribution":[33,93,128],"is":[37,67,72,94,107,129,161],"a":[38,48,55,87,95,117,148],"condition":[39,71,97,106,160],"exponential":[41,99],"based":[43,101,151],"on":[44,54,58,102,135,152],"introduction":[46],"complex":[49,80,153],"Lyapunov":[50,81,154],"function":[51],"depending":[52],"polynomially":[53],"parameter":[56],"use":[60],"Gram":[63],"method.":[65],"It":[66],"shown":[68],"this":[70],"any":[75],"chosen":[76],"degree":[77],"function,":[82],"an":[86],"priori":[88],"known":[89],"degree.":[90],"The":[91],"second":[92],"non-Lyapunov":[96],"eigenvalue":[103],"products.":[104],"sufficient,":[110],"has":[112],"advantage":[114],"requiring":[116],"significantly":[118],"smaller":[119],"computational":[120],"burden":[121],"achieving":[123],"necessity.":[124],"Lastly,":[125],"third":[127],"to":[130],"show":[131],"how":[132],"upper":[133,170],"bounds":[134],"H\u221e":[137],"norm":[138],"obtained":[146],"through":[147],"semidefinite":[149],"program":[150],"functions.":[155],"A":[156],"provided":[162],"establishing":[164],"tightness":[166],"found":[169],"bounds.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":11},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}