{"id":"https://openalex.org/W2118583343","doi":"https://doi.org/10.1109/cdc.2008.4738905","title":"Almost invariant subspaces: -High gain feedback? or -singularly perturbed feedback?","display_name":"Almost invariant subspaces: -High gain feedback? or -singularly perturbed feedback?","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2118583343","doi":"https://doi.org/10.1109/cdc.2008.4738905","mag":"2118583343"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2008.4738905","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738905","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th 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/A5088802495","display_name":"M. Bonilla","orcid":"https://orcid.org/0000-0003-3954-7380"},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"M. Bonilla","raw_affiliation_strings":["Control Autom\u00e1tico, CINVESTAV, Mexico","Control Automatico, CINVESTAV-IPN, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Control Autom\u00e1tico, CINVESTAV, Mexico","institution_ids":["https://openalex.org/I68368234"]},{"raw_affiliation_string":"Control Automatico, CINVESTAV-IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029775832","display_name":"M. Malabre","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"M. Malabre","raw_affiliation_strings":["UMR 6597, ICCyN, CNRS, Nantes, France","IRCCyN, Nantes, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UMR 6597, ICCyN, CNRS, Nantes, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"IRCCyN, Nantes, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044385210","display_name":"Hugo Mendez","orcid":null},"institutions":[{"id":"https://openalex.org/I68368234","display_name":"Centro de Investigaci\u00f3n y de Estudios Avanzados del Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/009eqmr18","country_code":"MX","type":"facility","lineage":["https://openalex.org/I59361560","https://openalex.org/I68368234"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"H. Mendez","raw_affiliation_strings":["Mexico","Control Automatico, CINVESTAV-IPN, Mexico City, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mexico","institution_ids":[]},{"raw_affiliation_string":"Control Automatico, CINVESTAV-IPN, Mexico City, Mexico","institution_ids":["https://openalex.org/I68368234"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100704890","display_name":"Runmin Zou","orcid":"https://orcid.org/0000-0003-1747-3448"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"R.M. Zou","raw_affiliation_strings":["Central South University, ChangSha, Hunan, China","Central South University Changsha, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Central South University, ChangSha, Hunan, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"Central South University Changsha, China#TAB#","institution_ids":["https://openalex.org/I139660479"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10059202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"75 76","issue":null,"first_page":"5164","last_page":"5169"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9962999820709229,"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":0.9907000064849854,"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/controllability","display_name":"Controllability","score":0.896093487739563},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7759238481521606},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.6744319200515747},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5611131191253662},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.5121815204620361},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.4879302680492401},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48072341084480286},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4495941698551178},{"id":"https://openalex.org/keywords/full-state-feedback","display_name":"Full state feedback","score":0.4395948648452759},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.42215585708618164},{"id":"https://openalex.org/keywords/output-feedback","display_name":"Output feedback","score":0.41035908460617065},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40903106331825256},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3856925368309021},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32499372959136963},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2542862892150879},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22756671905517578},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.19170081615447998},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15620577335357666},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1518072783946991},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1306854486465454},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12105792760848999},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.08737516403198242},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.08472681045532227},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07799747586250305}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.896093487739563},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7759238481521606},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6744319200515747},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5611131191253662},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.5121815204620361},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.4879302680492401},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48072341084480286},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4495941698551178},{"id":"https://openalex.org/C204322392","wikidata":"https://www.wikidata.org/wiki/Q925922","display_name":"Full state feedback","level":3,"score":0.4395948648452759},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.42215585708618164},{"id":"https://openalex.org/C3018623182","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Output feedback","level":3,"score":0.41035908460617065},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40903106331825256},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3856925368309021},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32499372959136963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2542862892150879},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22756671905517578},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.19170081615447998},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15620577335357666},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1518072783946991},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1306854486465454},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12105792760848999},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.08737516403198242},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.08472681045532227},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07799747586250305}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cdc.2008.4738905","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2008.4738905","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 47th 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":19,"referenced_works":["https://openalex.org/W94433250","https://openalex.org/W1507624518","https://openalex.org/W1515224583","https://openalex.org/W1547781383","https://openalex.org/W1556970733","https://openalex.org/W1926573427","https://openalex.org/W1975041680","https://openalex.org/W2016086123","https://openalex.org/W2029018540","https://openalex.org/W2128978199","https://openalex.org/W2132652920","https://openalex.org/W2151480374","https://openalex.org/W2161246948","https://openalex.org/W2177123733","https://openalex.org/W2738635245","https://openalex.org/W4232193948","https://openalex.org/W4254742956","https://openalex.org/W6603810838","https://openalex.org/W6657393781"],"related_works":["https://openalex.org/W2357214268","https://openalex.org/W2151714450","https://openalex.org/W2249860687","https://openalex.org/W2334516743","https://openalex.org/W2096518099","https://openalex.org/W1966169071","https://openalex.org/W2639007977","https://openalex.org/W2486306719","https://openalex.org/W2139918612","https://openalex.org/W2054858038"],"abstract_inverted_index":{"We":[0],"show":[1],"that":[2],"almost":[3],"controllability":[4],"can":[5],"be":[6],"also":[7],"obtained":[8],"by":[9],"means":[10],"of":[11,19],"singularly":[12],"perturbed":[13],"state":[14,24],"feedbacks":[15],"which":[16],"are":[17],"approximations":[18],"proportional":[20],"and":[21],"derivative":[22],"(PD)":[23],"feedbacks.":[25]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}