{"id":"https://openalex.org/W2126182258","doi":"https://doi.org/10.1109/cdc.2007.4434337","title":"H&lt;inf&gt;2&lt;/inf&gt; optimal semistable control for linear dynamical systems: An LMI approach","display_name":"H&lt;inf&gt;2&lt;/inf&gt; optimal semistable control for linear dynamical systems: An LMI approach","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2126182258","doi":"https://doi.org/10.1109/cdc.2007.4434337","mag":"2126182258"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2007.4434337","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434337","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","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/A5033711937","display_name":"Wassim M. Haddad","orcid":"https://orcid.org/0000-0002-4362-3043"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Wassim M. Haddad","raw_affiliation_strings":["School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA","Georgia Institute of Technology , Atlanta#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"Georgia Institute of Technology , Atlanta#TAB#","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103175086","display_name":"Qing Hui","orcid":"https://orcid.org/0000-0001-9488-5257"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qing Hui","raw_affiliation_strings":["School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA","Georgia Institute of Technology , Atlanta#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"Georgia Institute of Technology , Atlanta#TAB#","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022402078","display_name":"V. Chellaboina","orcid":"https://orcid.org/0000-0003-2576-5037"},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"VijaySekhar Chellaboina","raw_affiliation_strings":["Department of Mechanical, Aerospace,  and Biomedical Engineering, University of Tennessee, Knoxville, TN, USA","Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, 37996-2210, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical, Aerospace,  and Biomedical Engineering, University of Tennessee, Knoxville, TN, USA","institution_ids":["https://openalex.org/I75027704"]},{"raw_affiliation_string":"Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, 37996-2210, USA","institution_ids":["https://openalex.org/I75027704"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033711937"],"corresponding_institution_ids":["https://openalex.org/I130701444"],"apc_list":null,"apc_paid":null,"fwci":5.2256,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.9539579,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2731","last_page":"2736"},"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":0.9983000159263611,"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":0.9983000159263611,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9983000159263611,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.996399998664856,"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/mathematics","display_name":"Mathematics","score":0.4335036277770996},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41090261936187744},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38220563530921936},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32600104808807373}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4335036277770996},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41090261936187744},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38220563530921936},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32600104808807373}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2007.4434337","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2007.4434337","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2007 46th IEEE Conference on Decision and Control","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W239577987","https://openalex.org/W1499871105","https://openalex.org/W1500921805","https://openalex.org/W1603022741","https://openalex.org/W2007696489","https://openalex.org/W2015345446","https://openalex.org/W2068992774","https://openalex.org/W2074796812","https://openalex.org/W2087040380","https://openalex.org/W2094014274","https://openalex.org/W2100434683","https://openalex.org/W2104891404","https://openalex.org/W2107396783","https://openalex.org/W2109194210","https://openalex.org/W2111957799","https://openalex.org/W2128732553","https://openalex.org/W2165744313","https://openalex.org/W2167677395","https://openalex.org/W2312834382","https://openalex.org/W2332782972","https://openalex.org/W2369198016","https://openalex.org/W3198848997","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"In":[0],"this":[1,16,98],"paper,":[2],"we":[3,18],"develop":[4],"H":[5,20,34,46,88],"<inf":[6,21,35,47,89],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[7,22,36,48,90],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</inf>":[8,23,37,49,91],"semistability":[9,61],"theory":[10],"for":[11,27],"linear":[12,28,107],"dynamical":[13,29],"systems.":[14,30],"Using":[15],"theory,":[17],"design":[19],"optimal":[24,38,50,92],"semistable":[25,51],"controllers":[26],"Unlike":[31],"the":[32,45,56,70,87],"standard":[33],"control":[39],"problem,":[40],"a":[41,76,106],"complicating":[42],"feature":[43,68],"of":[44,69],"stabilization":[52],"problem":[53],"is":[54,74,95],"that":[55,75,97],"closed-loop":[57],"Lyapunov":[58],"equation":[59],"guaranteeing":[60],"can":[62,102],"admit":[63],"multiple":[64],"solutions.":[65],"An":[66],"interesting":[67],"proposed":[71],"approach,":[72],"however,":[73],"least":[77,99],"squares":[78,100],"solution":[79,101],"over":[80],"all":[81],"possible":[82],"semistabilizing":[83],"solutions":[84],"corresponds":[85],"to":[86],"solution.":[93],"It":[94],"shown":[96],"be":[103],"characterized":[104],"by":[105],"matrix":[108],"inequality":[109],"minimization":[110],"problem.":[111]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
