{"id":"https://openalex.org/W2078516226","doi":"https://doi.org/10.1137/s036301290240453x","title":"State Constrained Feedback Stabilization","display_name":"State Constrained Feedback Stabilization","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2078516226","doi":"https://doi.org/10.1137/s036301290240453x","mag":"2078516226"},"language":"en","primary_location":{"id":"doi:10.1137/s036301290240453x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s036301290240453x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5109143064","display_name":"Francis Clarke","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"F. H. Clarke","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5103411083","display_name":"Ronald J. Stern","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"R. J. Stern","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109143064"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.0935,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.9708909,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"42","issue":"2","first_page":"422","last_page":"441"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9991999864578247,"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":0.9991999864578247,"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":0.9980000257492065,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.7648624181747437},{"id":"https://openalex.org/keywords/controllability","display_name":"Controllability","score":0.706322193145752},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6639294624328613},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5691472291946411},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5402824878692627},{"id":"https://openalex.org/keywords/closed-set","display_name":"Closed set","score":0.4509996771812439},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.43183523416519165},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4186370372772217},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3252103328704834},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.2510374188423157},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.23886734247207642},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1976892650127411},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13628339767456055},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1177213191986084},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09442383050918579}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7648624181747437},{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.706322193145752},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6639294624328613},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5691472291946411},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5402824878692627},{"id":"https://openalex.org/C164953516","wikidata":"https://www.wikidata.org/wiki/Q320357","display_name":"Closed set","level":2,"score":0.4509996771812439},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.43183523416519165},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4186370372772217},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3252103328704834},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2510374188423157},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.23886734247207642},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1976892650127411},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13628339767456055},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1177213191986084},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09442383050918579},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s036301290240453x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s036301290240453x","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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":36,"referenced_works":["https://openalex.org/W160520070","https://openalex.org/W1481022403","https://openalex.org/W1487586009","https://openalex.org/W1547240457","https://openalex.org/W1551360398","https://openalex.org/W1558348496","https://openalex.org/W1567134821","https://openalex.org/W1574639858","https://openalex.org/W1592961332","https://openalex.org/W1896033818","https://openalex.org/W1960239420","https://openalex.org/W1971044547","https://openalex.org/W1975739077","https://openalex.org/W1984394420","https://openalex.org/W1986091057","https://openalex.org/W1994996557","https://openalex.org/W2022607740","https://openalex.org/W2023126268","https://openalex.org/W2024217766","https://openalex.org/W2032128836","https://openalex.org/W2041485674","https://openalex.org/W2052241257","https://openalex.org/W2068391479","https://openalex.org/W2077483340","https://openalex.org/W2080692658","https://openalex.org/W2106289334","https://openalex.org/W2135509249","https://openalex.org/W2136361262","https://openalex.org/W2141616022","https://openalex.org/W2152112251","https://openalex.org/W2155013449","https://openalex.org/W2162807113","https://openalex.org/W2396132789","https://openalex.org/W4243833218","https://openalex.org/W4285719527","https://openalex.org/W4319776160"],"related_works":["https://openalex.org/W2110637008","https://openalex.org/W2465092630","https://openalex.org/W2095844124","https://openalex.org/W2389513416","https://openalex.org/W2137374683","https://openalex.org/W2174949482","https://openalex.org/W2949583104","https://openalex.org/W2534885436","https://openalex.org/W1985241678","https://openalex.org/W2145250020"],"abstract_inverted_index":{"A":[0],"standard":[1],"finite":[2],"dimensional":[3],"nonlinear":[4],"control":[5,102],"system":[6],"is":[7,22],"considered,":[8],"along":[9],"with":[10,86,105],"a":[11,17,57,83,101,108,129],"state":[12,89],"constraint":[13,122],"set":[14,19],"S":[15],"and":[16,81],"target":[18],"$\\Sigma$.":[20],"It":[21],"proven":[23],"that":[24],"open":[25],"loop":[26,33,64],"S-constrained":[27,34,50,65],"controllability":[28,35],"to":[29,36,54,88,107],"$\\Sigma$":[30,55],"implies":[31],"closed":[32,38,63],"the":[37,49,78,96,112,125],"$\\delta$-neighborhood":[39],"of":[40,100,111],"$\\Sigma$,":[41],"for":[42,121],"any":[43],"specified":[44],"$\\delta":[45],">":[46],"0$.":[47],"When":[48],"minimum":[51],"time":[52],"function":[53,104],"satisfies":[56],"local":[58],"continuity":[59],"condition,":[60],"conclusions":[61],"on":[62],"stabilizability":[66],"ensue.":[67],"The":[68,92,115],"(necessarily":[69],"discontinuous)":[70],"feedback":[71,93],"laws":[72],"in":[73,77,118],"question":[74],"are":[75],"implemented":[76],"sample-and-hold":[79],"sense":[80],"possess":[82],"robustness":[84],"property":[85],"respect":[87,106],"measurement":[90],"errors.":[91],"constructions":[94],"involve":[95],"quadratic":[97],"infimal":[98],"convolution":[99,126],"Lyapunov":[103],"certain":[109],"modification":[110],"original":[113],"dynamics.":[114],"modified":[116],"dynamics":[117],"effect":[119],"provide":[120],"removal,":[123],"while":[124],"operation":[127],"provides":[128],"useful":[130],"semiconcavity":[131],"property.":[132]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"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"}