{"id":"https://openalex.org/W3120227395","doi":"https://doi.org/10.1109/cdc42340.2020.9304464","title":"Observing the Slow States of General Singularly Perturbed Systems","display_name":"Observing the Slow States of General Singularly Perturbed Systems","publication_year":2020,"publication_date":"2020-12-14","ids":{"openalex":"https://openalex.org/W3120227395","doi":"https://doi.org/10.1109/cdc42340.2020.9304464","mag":"3120227395"},"language":"en","primary_location":{"id":"doi:10.1109/cdc42340.2020.9304464","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304464","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://unsworks.unsw.edu.au/bitstreams/6fc8cb4a-4c2f-4f1e-a168-0f09c7738ed4/download","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026379850","display_name":"Mohammad Deghat","orcid":"https://orcid.org/0000-0003-4290-0018"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Mohammad Deghat","raw_affiliation_strings":["School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney, NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mechanical and Manufacturing Engineering, University of New South Wales, Sydney, NSW, Australia","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035230630","display_name":"Dragan Ne\u0161i\u0107","orcid":"https://orcid.org/0000-0001-7944-0241"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Dragan Nesic","raw_affiliation_strings":["The University of Melbourne, Parkville, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002737786","display_name":"Andrew R. Teel","orcid":"https://orcid.org/0000-0002-6508-0879"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrew R. Teel","raw_affiliation_strings":["University of California, Santa Barbara, CA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of California, Santa Barbara, CA, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020178903","display_name":"Chris Manzie","orcid":"https://orcid.org/0000-0002-9969-0982"},"institutions":[{"id":"https://openalex.org/I165779595","display_name":"The University of Melbourne","ror":"https://ror.org/01ej9dk98","country_code":"AU","type":"education","lineage":["https://openalex.org/I165779595"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Chris Manzie","raw_affiliation_strings":["The University of Melbourne, Parkville, VIC, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Melbourne, Parkville, VIC, Australia","institution_ids":["https://openalex.org/I165779595"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"4206","last_page":"4211"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9961000084877014,"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"}},"topics":[{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9961000084877014,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9954000115394592,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/slow-manifold","display_name":"Slow manifold","score":0.9120391011238098},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.7015509605407715},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6795177459716797},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5994466543197632},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5486664175987244},{"id":"https://openalex.org/keywords/manifold","display_name":"Manifold (fluid mechanics)","score":0.5453455448150635},{"id":"https://openalex.org/keywords/method-of-matched-asymptotic-expansions","display_name":"Method of matched asymptotic expansions","score":0.5149703621864319},{"id":"https://openalex.org/keywords/observer","display_name":"Observer (physics)","score":0.5149336457252502},{"id":"https://openalex.org/keywords/boundary-layer","display_name":"Boundary layer","score":0.4900142252445221},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4676012098789215},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4603535830974579},{"id":"https://openalex.org/keywords/stability-theory","display_name":"Stability theory","score":0.4478663504123688},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.42340588569641113},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42122721672058105},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.37361958622932434},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23721542954444885},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.17582768201828003},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.14156615734100342},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10037243366241455},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07368239760398865}],"concepts":[{"id":"https://openalex.org/C2778671503","wikidata":"https://www.wikidata.org/wiki/Q7542110","display_name":"Slow manifold","level":3,"score":0.9120391011238098},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.7015509605407715},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6795177459716797},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5994466543197632},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5486664175987244},{"id":"https://openalex.org/C529865628","wikidata":"https://www.wikidata.org/wiki/Q1790740","display_name":"Manifold (fluid mechanics)","level":2,"score":0.5453455448150635},{"id":"https://openalex.org/C89407435","wikidata":"https://www.wikidata.org/wiki/Q17098224","display_name":"Method of matched asymptotic expansions","level":3,"score":0.5149703621864319},{"id":"https://openalex.org/C2780704645","wikidata":"https://www.wikidata.org/wiki/Q9251458","display_name":"Observer (physics)","level":2,"score":0.5149336457252502},{"id":"https://openalex.org/C111603439","wikidata":"https://www.wikidata.org/wiki/Q752193","display_name":"Boundary layer","level":2,"score":0.4900142252445221},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4676012098789215},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4603535830974579},{"id":"https://openalex.org/C41949839","wikidata":"https://www.wikidata.org/wiki/Q1756677","display_name":"Stability theory","level":3,"score":0.4478663504123688},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.42340588569641113},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42122721672058105},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.37361958622932434},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23721542954444885},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.17582768201828003},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.14156615734100342},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10037243366241455},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07368239760398865},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc42340.2020.9304464","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc42340.2020.9304464","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:unsworks.library.unsw.edu.au:1959.4/unsworks_74603","is_oa":true,"landing_page_url":"http://hdl.handle.net/1959.4/unsworks_74603","pdf_url":"https://unsworks.unsw.edu.au/bitstreams/6fc8cb4a-4c2f-4f1e-a168-0f09c7738ed4/download","source":{"id":"https://openalex.org/S4306401737","display_name":"UNSWorks (University of New South Wales, Sydney, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40053085","host_organization_name":"Australian Defence Force Academy","host_organization_lineage":["https://openalex.org/I40053085"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC), ELECTR NETWORK, 2020-12-14 - 2020-12-18","raw_type":"http://purl.org/coar/resource_type/c_5794"}],"best_oa_location":{"id":"pmh:oai:unsworks.library.unsw.edu.au:1959.4/unsworks_74603","is_oa":true,"landing_page_url":"http://hdl.handle.net/1959.4/unsworks_74603","pdf_url":"https://unsworks.unsw.edu.au/bitstreams/6fc8cb4a-4c2f-4f1e-a168-0f09c7738ed4/download","source":{"id":"https://openalex.org/S4306401737","display_name":"UNSWorks (University of New South Wales, Sydney, Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40053085","host_organization_name":"Australian Defence Force Academy","host_organization_lineage":["https://openalex.org/I40053085"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2020 59th IEEE Conference on Decision and Control (CDC), ELECTR NETWORK, 2020-12-14 - 2020-12-18","raw_type":"http://purl.org/coar/resource_type/c_5794"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G2452615238","display_name":null,"funder_award_id":"FA9550-18-1-0246","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3120227395.pdf","grobid_xml":"https://content.openalex.org/works/W3120227395.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1515224583","https://openalex.org/W1967321880","https://openalex.org/W1980545841","https://openalex.org/W2005276415","https://openalex.org/W2018372088","https://openalex.org/W2019936337","https://openalex.org/W2058080504","https://openalex.org/W2096076769","https://openalex.org/W2135577849","https://openalex.org/W2138186346","https://openalex.org/W2148795605","https://openalex.org/W2154217311","https://openalex.org/W2496951159","https://openalex.org/W2532508227","https://openalex.org/W2550646430","https://openalex.org/W2889994822","https://openalex.org/W2907314566","https://openalex.org/W2909746585","https://openalex.org/W2910237348","https://openalex.org/W3041583565","https://openalex.org/W6729439199"],"related_works":["https://openalex.org/W2092584480","https://openalex.org/W2383715914","https://openalex.org/W2724386038","https://openalex.org/W2080853821","https://openalex.org/W2370449520","https://openalex.org/W2095085140","https://openalex.org/W2371765427","https://openalex.org/W1994025175","https://openalex.org/W2332818190","https://openalex.org/W2110841752"],"abstract_inverted_index":{"This":[0],"paper":[1],"studies":[2],"the":[3,8,40,57,60,91],"behaviour":[4,51],"of":[5,11,39,59,78],"observers":[6],"for":[7,90],"slow":[9,35,62],"states":[10],"a":[12,20,34],"general":[13],"singularly":[14,21,93],"perturbed":[15,22,94],"system":[16,23,42],"-":[17],"that":[18,28,67],"is":[19,65,86],"which":[24,52],"has":[25,71],"boundary-layer":[26,41],"solutions":[27,38],"do":[29],"not":[30],"necessarily":[31],"converge":[32],"to":[33,45,55],"manifold.":[36],"The":[37],"are":[43,53],"allowed":[44],"exhibit":[46],"persistent":[47],"(e.g.":[48],"oscillatory)":[49],"steady-state":[50],"averaged":[54],"obtain":[56],"dynamics":[58,81],"approximate":[61],"system.":[63,95],"It":[64],"shown":[66],"if":[68],"an":[69],"observer":[70],"certain":[72],"properties":[73],"such":[74],"as":[75],"asymptotic":[76],"stability":[77],"its":[79],"error":[80],"on":[82],"average,":[83],"then":[84],"it":[85],"practically":[87],"asymptotically":[88],"stable":[89],"original":[92]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
