{"id":"https://openalex.org/W2167578476","doi":"https://doi.org/10.1137/s0363012901390889","title":"Singularly Perturbed Control Systems with One-Dimensional Fast Dynamics","display_name":"Singularly Perturbed Control Systems with One-Dimensional Fast Dynamics","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W2167578476","doi":"https://doi.org/10.1137/s0363012901390889","mag":"2167578476"},"language":"en","primary_location":{"id":"doi:10.1137/s0363012901390889","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012901390889","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/A5074726638","display_name":"Zvi Artstein","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zvi Artstein","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5108548473","display_name":"Arie Leizarowitz","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arie Leizarowitz","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5868,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.8945717,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"41","issue":"2","first_page":"641","last_page":"658"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13685","display_name":"Material Science and Thermodynamics","score":0.9700999855995178,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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":0.7045031189918518},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.6252915263175964},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4978809356689453},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.43418505787849426},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3692402243614197},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18762758374214172},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11218142509460449},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08917388319969177}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7045031189918518},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.6252915263175964},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4978809356689453},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.43418505787849426},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3692402243614197},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18762758374214172},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11218142509460449},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08917388319969177},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0363012901390889","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0363012901390889","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":[{"score":0.5,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W76960327","https://openalex.org/W565681979","https://openalex.org/W1515224583","https://openalex.org/W1820122611","https://openalex.org/W2005276415","https://openalex.org/W2013247359","https://openalex.org/W2018895295","https://openalex.org/W2019426461","https://openalex.org/W2033623440","https://openalex.org/W2073280806","https://openalex.org/W2073343965","https://openalex.org/W2077219618","https://openalex.org/W2088348409","https://openalex.org/W2096076769","https://openalex.org/W2101019468","https://openalex.org/W2157817605","https://openalex.org/W2325450327","https://openalex.org/W2327759640","https://openalex.org/W2802739963","https://openalex.org/W3027327446","https://openalex.org/W4247262579","https://openalex.org/W4298290699","https://openalex.org/W4301031214"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"The":[0],"order":[1,60,98,119],"reduction":[2,61,99,120],"approach":[3],"to":[4,26,84,89],"singularly":[5],"perturbed":[6],"control":[7],"systems":[8],"suggests":[9],"employing":[10],"as":[11],"a":[12],"variational":[13],"limit":[14],"the":[15,21,33,43,53,59,77,90,97,102,116,118,124],"differential":[16],"algebraic":[17],"system":[18,92],"obtained":[19],"when":[20,52,71],"small":[22],"parameter":[23],"is":[24,30,35,57,63,68,74],"set":[25],"be":[27],"zero.":[28],"It":[29],"known":[31],"that":[32],"method":[34,62],"valid":[36,64],"only":[37],"under":[38],"restrictive":[39],"convergence":[40],"conditions":[41],"on":[42],"fast":[44,54],"dynamics.":[45],"We":[46,80],"verify":[47],"in":[48,65,76],"this":[49],"paper":[50],"that,":[51,113],"state":[55],"variable":[56],"one-dimensional,":[58],"general.":[66],"This":[67],"true,":[69],"however,":[70],"appropriate":[72],"relaxation":[73],"allowed":[75],"reduced-order":[78],"system.":[79],"also":[81],"indicate":[82],"how":[83],"extract":[85],"near":[86],"optimal":[87,94],"solutions":[88,95],"original":[91],"from":[93],"of":[96,105],"one":[100],"along":[101],"traditional":[103],"reasoning":[104],"separating":[106],"time":[107],"scales.":[108],"Examples":[109],"are":[110],"displayed,":[111],"showing":[112],"without":[114],"allowing":[115],"relaxation,":[117],"may":[121],"not":[122],"provide":[123],"correct":[125],"limit.":[126]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
