{"id":"https://openalex.org/W1566747349","doi":"https://doi.org/10.1109/cdc.2002.1184342","title":"State feedback stabilization of discrete-time nonlinear systems","display_name":"State feedback stabilization of discrete-time nonlinear systems","publication_year":2003,"publication_date":"2003-08-27","ids":{"openalex":"https://openalex.org/W1566747349","doi":"https://doi.org/10.1109/cdc.2002.1184342","mag":"1566747349"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2002.1184342","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184342","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","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/A5073578549","display_name":"Mohamed Boutayeb","orcid":"https://orcid.org/0000-0002-6872-529X"},"institutions":[{"id":"https://openalex.org/I68947357","display_name":"Universit\u00e9 de Strasbourg","ror":"https://ror.org/00pg6eq24","country_code":"FR","type":"education","lineage":["https://openalex.org/I68947357"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"M. Boutayeb","raw_affiliation_strings":["LSIIT-CNRS, University Louis Pasteur of Strasbourg, Illkirch Cedex, France"],"affiliations":[{"raw_affiliation_string":"LSIIT-CNRS, University Louis Pasteur of Strasbourg, Illkirch Cedex, France","institution_ids":["https://openalex.org/I68947357","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5114859626","display_name":"Kheir Eddine Bouazza","orcid":"https://orcid.org/0009-0002-4879-5298"},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"K.E. Bouazza","raw_affiliation_strings":["CRAN-CNR, Universit\u00e9 Henri Poincar\u00e9-Nancy I, Cosnes et Romain, France"],"affiliations":[{"raw_affiliation_string":"CRAN-CNR, Universit\u00e9 Henri Poincar\u00e9-Nancy I, Cosnes et Romain, France","institution_ids":["https://openalex.org/I90183372"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031918402","display_name":"Mohamed Darouach","orcid":"https://orcid.org/0000-0003-2298-2124"},"institutions":[{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Darouach","raw_affiliation_strings":["CRAN-CNR, Universit\u00e9 Henri Poincar\u00e9-Nancy I, Cosnes et Romain, France"],"affiliations":[{"raw_affiliation_string":"CRAN-CNR, Universit\u00e9 Henri Poincar\u00e9-Nancy I, Cosnes et Romain, France","institution_ids":["https://openalex.org/I90183372"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5073578549"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I68947357"],"apc_list":null,"apc_paid":null,"fwci":0.8094,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76714772,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":null,"first_page":"3097","last_page":"3098"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998999834060669,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9998999834060669,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9993000030517578,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9984999895095825,"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":0.7407183647155762},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.7203753590583801},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.608737587928772},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.6073757410049438},{"id":"https://openalex.org/keywords/riccati-equation","display_name":"Riccati equation","score":0.5711320638656616},{"id":"https://openalex.org/keywords/discrete-time-and-continuous-time","display_name":"Discrete time and continuous time","score":0.5709052085876465},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5378144979476929},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.530064046382904},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5119014978408813},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4714822769165039},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.47011151909828186},{"id":"https://openalex.org/keywords/control-lyapunov-function","display_name":"Control-Lyapunov function","score":0.4519422650337219},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.4475755989551544},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.4348927438259125},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4001430571079254},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.356533944606781},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.1958794891834259},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13372811675071716},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10952219367027283},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06578636169433594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0629497766494751},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06289148330688477}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7407183647155762},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.7203753590583801},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.608737587928772},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.6073757410049438},{"id":"https://openalex.org/C45473103","wikidata":"https://www.wikidata.org/wiki/Q851503","display_name":"Riccati equation","level":3,"score":0.5711320638656616},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.5709052085876465},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5378144979476929},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.530064046382904},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5119014978408813},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4714822769165039},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.47011151909828186},{"id":"https://openalex.org/C201030206","wikidata":"https://www.wikidata.org/wiki/Q5165805","display_name":"Control-Lyapunov function","level":5,"score":0.4519422650337219},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.4475755989551544},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.4348927438259125},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4001430571079254},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.356533944606781},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.1958794891834259},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13372811675071716},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10952219367027283},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06578636169433594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0629497766494751},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06289148330688477},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2002.1184342","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2002.1184342","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 41st IEEE Conference on Decision and Control, 2002.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.7799999713897705,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1561445488","https://openalex.org/W1964373008","https://openalex.org/W1971044547","https://openalex.org/W1993039238","https://openalex.org/W1994951210","https://openalex.org/W2003232307","https://openalex.org/W2012525071","https://openalex.org/W2033693814","https://openalex.org/W2072981151","https://openalex.org/W2074857762","https://openalex.org/W2079121704","https://openalex.org/W2079441139","https://openalex.org/W2082352004","https://openalex.org/W2095830039","https://openalex.org/W2101116544","https://openalex.org/W2108806801","https://openalex.org/W2130238423","https://openalex.org/W2144638464","https://openalex.org/W2150372698","https://openalex.org/W2161789438","https://openalex.org/W2167175335","https://openalex.org/W4241796298","https://openalex.org/W4292408404","https://openalex.org/W4292872153","https://openalex.org/W6642962755"],"related_works":["https://openalex.org/W2356450042","https://openalex.org/W2133496720","https://openalex.org/W2041599390","https://openalex.org/W960027063","https://openalex.org/W2140717525","https://openalex.org/W2611997363","https://openalex.org/W172181226","https://openalex.org/W2007984123","https://openalex.org/W2562514061","https://openalex.org/W2023396422"],"abstract_inverted_index":{"In":[0,41],"this":[1],"note,":[2],"we":[3,26],"investigate":[4],"the":[5,29,44,67],"problem":[6],"of":[7,11,38,61,66],"state":[8,31],"feedback":[9,32],"stabilization":[10,56],"affine":[12],"nonlinear":[13],"discrete-time":[14],"systems.":[15,40],"From":[16],"a":[17,22,35],"prescribed":[18],"Lyapunov":[19,50],"function":[20],"and":[21],"modified":[23],"Riccati":[24],"equation,":[25],"show":[27],"that":[28],"proposed":[30,68],"law":[33],"covers":[34],"large":[36],"class":[37],"dynamical":[39],"particular":[42],"when":[43],"unforced":[45],"dynamic":[46],"model":[47],"is":[48],"not":[49],"stable.":[51],"Sufficient":[52],"conditions":[53],"for":[54],"asymptotic":[55],"are":[57],"expressed":[58],"in":[59],"terms":[60],"matrix":[62],"inequalities.":[63],"High":[64],"performances":[65],"technique":[69],"will":[70],"be":[71],"shown":[72],"through":[73],"academic":[74],"examples.":[75]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}