{"id":"https://openalex.org/W2038251687","doi":"https://doi.org/10.1137/s036301299833255x","title":"Stabilization of Linear Differential Systems via Hybrid Feedback Controls","display_name":"Stabilization of Linear Differential Systems via Hybrid Feedback Controls","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2038251687","doi":"https://doi.org/10.1137/s036301299833255x","mag":"2038251687"},"language":"en","primary_location":{"id":"doi:10.1137/s036301299833255x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s036301299833255x","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/A5038729886","display_name":"Elena Litsyn","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Elena Litsyn","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007928649","display_name":"Yurii Nepomnyashchikh","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yurii V. Nepomnyashchikh","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5034369477","display_name":"Arcady Ponosov","orcid":"https://orcid.org/0000-0001-5018-6577"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arcady Ponosov","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038729886"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.9189,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.95255024,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"38","issue":"5","first_page":"1468","last_page":"1480"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10791","display_name":"Advanced Control Systems Optimization","score":0.9976999759674072,"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/T10791","display_name":"Advanced Control Systems Optimization","score":0.9976999759674072,"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/T10040","display_name":"Adaptive Control of Nonlinear Systems","score":0.9965999722480774,"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":0.9952999949455261,"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":0.8904153108596802},{"id":"https://openalex.org/keywords/observability","display_name":"Observability","score":0.8874678611755371},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7433199286460876},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7339956760406494},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.5475566983222961},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.525451123714447},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5000691413879395},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.47533345222473145},{"id":"https://openalex.org/keywords/feedback-control","display_name":"Feedback control","score":0.45162031054496765},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.44592583179473877},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4299180507659912},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.4297364354133606},{"id":"https://openalex.org/keywords/hybrid-automaton","display_name":"Hybrid automaton","score":0.42530566453933716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.2942841053009033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20722836256027222},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17147716879844666},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.16010844707489014},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.09539735317230225},{"id":"https://openalex.org/keywords/control-engineering","display_name":"Control engineering","score":0.08896851539611816}],"concepts":[{"id":"https://openalex.org/C48209547","wikidata":"https://www.wikidata.org/wiki/Q1331104","display_name":"Controllability","level":2,"score":0.8904153108596802},{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.8874678611755371},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7433199286460876},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7339956760406494},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.5475566983222961},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.525451123714447},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5000691413879395},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.47533345222473145},{"id":"https://openalex.org/C3018651601","wikidata":"https://www.wikidata.org/wiki/Q183635","display_name":"Feedback control","level":2,"score":0.45162031054496765},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.44592583179473877},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4299180507659912},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.4297364354133606},{"id":"https://openalex.org/C2776028153","wikidata":"https://www.wikidata.org/wiki/Q5953179","display_name":"Hybrid automaton","level":3,"score":0.42530566453933716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2942841053009033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20722836256027222},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17147716879844666},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.16010844707489014},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.09539735317230225},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.08896851539611816},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s036301299833255x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s036301299833255x","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":16,"referenced_works":["https://openalex.org/W430666788","https://openalex.org/W570414066","https://openalex.org/W1484739396","https://openalex.org/W1504756454","https://openalex.org/W1538005160","https://openalex.org/W1556970733","https://openalex.org/W1559815321","https://openalex.org/W1876456565","https://openalex.org/W1965640670","https://openalex.org/W1985660326","https://openalex.org/W2045382183","https://openalex.org/W2072508748","https://openalex.org/W2130613450","https://openalex.org/W2142984014","https://openalex.org/W4239216443","https://openalex.org/W4299588642"],"related_works":["https://openalex.org/W2364951889","https://openalex.org/W2160647525","https://openalex.org/W2616809300","https://openalex.org/W2614633113","https://openalex.org/W1572741747","https://openalex.org/W2732505710","https://openalex.org/W1591833214","https://openalex.org/W2099354898","https://openalex.org/W2066057891","https://openalex.org/W129752279"],"abstract_inverted_index":{"We":[0,15],"study":[1],"so-called":[2],"\"hybrid":[3],"feedback":[4,28,71,81],"stabilizers\"":[5],"for":[6,92],"an":[7],"arbitrarily":[8],"general":[9],"system":[10,34],"of":[11,20,44],"linear":[12],"differential":[13],"equations.":[14],"prove":[16],"that":[17],"under":[18],"assumptions":[19],"controllability":[21],"and":[22],"observability":[23],"there":[24],"exists":[25],"a":[26,45,66],"hybrid":[27],"output":[29],"control":[30,38,82],"which":[31],"makes":[32],"the":[33,50,55],"asymptotically":[35],"stable.":[36],"The":[37,73],"is":[39],"designed":[40],"by":[41],"making":[42],"use":[43],"discrete":[46],"automaton":[47,56],"implanted":[48],"into":[49],"system's":[51],"dynamics.":[52],"In":[53],"general,":[54],"has":[57],"infinitely":[58],"many":[59],"locations,":[60],"but":[61],"it":[62],"gives":[63],"rise":[64],"to":[65,79],"\"uniform\"":[67],"(in":[68],"some":[69,86],"sense)":[70],"control.":[72],"approach":[74],"we":[75],"propose":[76],"goes":[77],"back":[78],"classical":[80],"techniques":[83],"combined":[84],"with":[85,94],"ideas":[87],"used":[88],"in":[89],"stability":[90],"theory":[91],"equations":[93],"time-delay.":[95]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}