{"id":"https://openalex.org/W4210744687","doi":"https://doi.org/10.1109/cdc45484.2021.9682912","title":"Lyapunov Functions for Singularly Perturbed Hybrid Systems with Frequent Jump Dynamics","display_name":"Lyapunov Functions for Singularly Perturbed Hybrid Systems with Frequent Jump Dynamics","publication_year":2021,"publication_date":"2021-12-14","ids":{"openalex":"https://openalex.org/W4210744687","doi":"https://doi.org/10.1109/cdc45484.2021.9682912"},"language":"en","primary_location":{"id":"doi:10.1109/cdc45484.2021.9682912","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682912","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://laas.hal.science/hal-03476840","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054903338","display_name":"Aneel Tanwani","orcid":"https://orcid.org/0000-0003-1387-2855"},"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"]},{"id":"https://openalex.org/I190497903","display_name":"Laboratoire d'Analyse et d'Architecture des Syst\u00e8mes","ror":"https://ror.org/03vcm6439","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I134560555","https://openalex.org/I190497903","https://openalex.org/I196454796","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210095849","https://openalex.org/I4210159245","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Aneel Tanwani","raw_affiliation_strings":["LAAS-CNRS, France","CNRS - Centre National de la Recherche Scientifique (France)","LAAS-MAC - \u00c9quipe M\u00e9thodes et Algorithmes en Commande (France)"],"affiliations":[{"raw_affiliation_string":"LAAS-CNRS, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190497903"]},{"raw_affiliation_string":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LAAS-MAC - \u00c9quipe M\u00e9thodes et Algorithmes en Commande (France)","institution_ids":["https://openalex.org/I190497903"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055470439","display_name":"Hyungbo Shim","orcid":"https://orcid.org/0000-0002-5972-8114"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyungbo Shim","raw_affiliation_strings":["Seoul National University, Korea","Department of Electrical and Computer Engineering [Seoul National University] (Dept. of Electrical and Computer Engineering, SNU, 1 Gwanak-ro, Gwanak-gu, Seoul 08826 - South Korea)"],"affiliations":[{"raw_affiliation_string":"Seoul National University, Korea","institution_ids":["https://openalex.org/I139264467"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering [Seoul National University] (Dept. of Electrical and Computer Engineering, SNU, 1 Gwanak-ro, Gwanak-gu, Seoul 08826 - South Korea)","institution_ids":["https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5054903338"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I190497903"],"apc_list":null,"apc_paid":null,"fwci":0.308,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.46081115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"5382","last_page":"5387"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9995999932289124,"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":0.9995999932289124,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9987999796867371,"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":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/attractor","display_name":"Attractor","score":0.6938784122467041},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.6527776718139648},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6139655113220215},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.5979935526847839},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5723745226860046},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5520702004432678},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.5367172360420227},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5122444033622742},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.4938136041164398},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48253437876701355},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.4546201825141907},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4087660014629364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33901849389076233},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27606701850891113},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.1565960943698883},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1443513035774231},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10800707340240479}],"concepts":[{"id":"https://openalex.org/C164380108","wikidata":"https://www.wikidata.org/wiki/Q507187","display_name":"Attractor","level":2,"score":0.6938784122467041},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.6527776718139648},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6139655113220215},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5979935526847839},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5723745226860046},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5520702004432678},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5367172360420227},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5122444033622742},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.4938136041164398},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48253437876701355},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.4546201825141907},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4087660014629364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33901849389076233},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27606701850891113},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.1565960943698883},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1443513035774231},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10800707340240479},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/cdc45484.2021.9682912","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc45484.2021.9682912","pdf_url":null,"source":{"id":"https://openalex.org/S4363607724","display_name":"2021 60th IEEE Conference on Decision and Control (CDC)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 60th IEEE Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03476840v1","is_oa":true,"landing_page_url":"https://laas.hal.science/hal-03476840","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Conference on Decision and Control (CDC 2021), Dec 2021, Austin, Texas, United States. ⟨10.1109/CDC45484.2021.9682912⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03476840v1","is_oa":true,"landing_page_url":"https://laas.hal.science/hal-03476840","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Conference on Decision and Control (CDC 2021), Dec 2021, Austin, Texas, United States. ⟨10.1109/CDC45484.2021.9682912⟩","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1552094772","https://openalex.org/W1569239057","https://openalex.org/W2035792523","https://openalex.org/W2061741741","https://openalex.org/W2088680241","https://openalex.org/W2135577849","https://openalex.org/W2344322259","https://openalex.org/W2571108256","https://openalex.org/W2571527988","https://openalex.org/W2766095992","https://openalex.org/W2782740507","https://openalex.org/W2796076831","https://openalex.org/W2945366829","https://openalex.org/W2996658943","https://openalex.org/W3047232554","https://openalex.org/W3171214095"],"related_works":["https://openalex.org/W2376029318","https://openalex.org/W2388301251","https://openalex.org/W2013770701","https://openalex.org/W3013941779","https://openalex.org/W1998659141","https://openalex.org/W3195376785","https://openalex.org/W2951185269","https://openalex.org/W2319937810","https://openalex.org/W2370435933","https://openalex.org/W2947625790"],"abstract_inverted_index":{"This":[0],"article":[1],"considers":[2],"the":[3,13,17,34,39,60,73,78,92,103,119,125,141,145,154],"stability":[4],"analysis":[5],"for":[6],"a":[7,28,47,53,88,108,131],"class":[8,24,99],"of":[9,41,110],"hybrid":[10,31],"systems":[11],"with":[12],"focus":[14],"being":[15],"on":[16,72],"frequently":[18,95],"occurring":[19],"jump":[20],"dynamics.":[21,67],"The":[22],"system":[23,32,50,62,76,98],"is":[25,100,150],"modelled":[26],"as":[27],"singularly":[29],"perturbed":[30],"where":[33,115],"singular":[35],"perturbation":[36],"parameter":[37],"governs":[38],"frequency":[40],"jumps.":[42],"Consequently,":[43],"this":[44],"results":[45,83],"in":[46,107],"quasi":[48,74],"steady-state":[49,75],"modeled":[51],"by":[52,64,102],"differential":[54],"equation":[55],"without":[56],"any":[57],"jumps,":[58],"and":[59,77,147],"boundary-layer":[61,79],"described":[63],"purely":[65],"discrete":[66,128],"By":[68],"imposing":[69],"appropriate":[70],"assumptions":[71],"system,":[80],"we":[81,137],"derive":[82],"showing":[84],"practical":[85,157],"convergence":[86],"to":[87,124,133],"compact":[89],"attractor":[90],"when":[91],"jumps":[93],"occur":[94],"often.":[96],"Our":[97],"motivated":[101],"control":[104],"design":[105],"problem":[106],"network":[109],"second-order":[111],"continuous-time":[112],"coupled":[113],"oscillators,":[114],"each":[116],"agent":[117],"communicates":[118],"information":[120,142],"about":[121],"its":[122],"position":[123],"neighbors":[126,149],"at":[127],"times.":[129],"As":[130],"corollary":[132],"our":[134],"main":[135],"result,":[136],"show":[138],"that":[139],"if":[140],"exchange":[143],"between":[144],"agents":[146],"their":[148],"frequent":[151],"enough,":[152],"then":[153],"oscillators":[155],"achieve":[156],"consensus.":[158]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}