{"id":"https://openalex.org/W2792507992","doi":"https://doi.org/10.1109/tac.2018.2797219","title":"Robust Stability of Hybrid Limit Cycles With Multiple Jumps in Hybrid Dynamical Systems","display_name":"Robust Stability of Hybrid Limit Cycles With Multiple Jumps in Hybrid Dynamical Systems","publication_year":2018,"publication_date":"2018-01-23","ids":{"openalex":"https://openalex.org/W2792507992","doi":"https://doi.org/10.1109/tac.2018.2797219","mag":"2792507992"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2018.2797219","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2797219","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","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/A5050096545","display_name":"Xuyang Lou","orcid":"https://orcid.org/0000-0002-7499-1308"},"institutions":[{"id":"https://openalex.org/I111599522","display_name":"Jiangnan University","ror":"https://ror.org/04mkzax54","country_code":"CN","type":"education","lineage":["https://openalex.org/I111599522"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xuyang Lou","raw_affiliation_strings":["Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi, China","institution_ids":["https://openalex.org/I111599522"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108058539","display_name":"Yuchun Li","orcid":"https://orcid.org/0000-0002-8968-2364"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuchun Li","raw_affiliation_strings":["Department of Computer Engineering, University of California, Santa Cruz, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, University of California, Santa Cruz, CA, USA","institution_ids":["https://openalex.org/I185103710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028224738","display_name":"Ricardo G. Sanfelice","orcid":"https://orcid.org/0000-0002-6671-5362"},"institutions":[{"id":"https://openalex.org/I185103710","display_name":"University of California, Santa Cruz","ror":"https://ror.org/03s65by71","country_code":"US","type":"education","lineage":["https://openalex.org/I185103710"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ricardo G. Sanfelice","raw_affiliation_strings":["Department of Computer Engineering, University of California, Santa Cruz, CA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, University of California, Santa Cruz, CA, USA","institution_ids":["https://openalex.org/I185103710"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050096545"],"corresponding_institution_ids":["https://openalex.org/I111599522"],"apc_list":null,"apc_paid":null,"fwci":0.9308,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.73814577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"63","issue":"4","first_page":"1220","last_page":"1226"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9843000173568726,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9815000295639038,"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/mathematics","display_name":"Mathematics","score":0.7007434368133545},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.6883047223091125},{"id":"https://openalex.org/keywords/limit-cycle","display_name":"Limit cycle","score":0.658545732498169},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6458985209465027},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6323621869087219},{"id":"https://openalex.org/keywords/hybrid-system","display_name":"Hybrid system","score":0.6098330020904541},{"id":"https://openalex.org/keywords/poincar\u00e9-map","display_name":"Poincar\u00e9 map","score":0.5512934923171997},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.5437399744987488},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5361089110374451},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4790305197238922},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.4619038701057434},{"id":"https://openalex.org/keywords/differential-equation","display_name":"Differential equation","score":0.4120335578918457},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28310465812683105},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.15941664576530457},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14092370867729187},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.13229906558990479},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09007459878921509}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7007434368133545},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.6883047223091125},{"id":"https://openalex.org/C93357160","wikidata":"https://www.wikidata.org/wiki/Q1545916","display_name":"Limit cycle","level":3,"score":0.658545732498169},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6458985209465027},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6323621869087219},{"id":"https://openalex.org/C50897621","wikidata":"https://www.wikidata.org/wiki/Q2665508","display_name":"Hybrid system","level":2,"score":0.6098330020904541},{"id":"https://openalex.org/C21955772","wikidata":"https://www.wikidata.org/wiki/Q339199","display_name":"Poincar\u00e9 map","level":4,"score":0.5512934923171997},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5437399744987488},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5361089110374451},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4790305197238922},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.4619038701057434},{"id":"https://openalex.org/C78045399","wikidata":"https://www.wikidata.org/wiki/Q11214","display_name":"Differential equation","level":2,"score":0.4120335578918457},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28310465812683105},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.15941664576530457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14092370867729187},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.13229906558990479},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09007459878921509},{"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2018.2797219","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2018.2797219","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org/ark:/13030/qt0978x6v3","is_oa":false,"landing_page_url":"https://escholarship.org/uc/item/0978x6v3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Transactions on Automatic Control, vol 63, iss 4","raw_type":"article"},{"id":"pmh:qt0978x6v3","is_oa":false,"landing_page_url":"http://www.escholarship.org/uc/item/0978x6v3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lou, X; Li, Y; & Sanfelice, RG. (2018). Robust Stability of Hybrid Limit Cycles With Multiple Jumps in Hybrid Dynamical Systems. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 63(4), 1220 - 1226. doi: 10.1109/TAC.2018.2797219. UC Santa Cruz: Retrieved from: http://www.escholarship.org/uc/item/0978x6v3","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2464323602","display_name":null,"funder_award_id":"FA9550-16-1-0015","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G283044312","display_name":null,"funder_award_id":"B12018","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"},{"id":"https://openalex.org/G3064029634","display_name":null,"funder_award_id":"61473136","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G491218744","display_name":null,"funder_award_id":"JUSRP51322B","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8611060190","display_name":null,"funder_award_id":"FA9550-12-1-0366","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null},{"id":"https://openalex.org/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W151868298","https://openalex.org/W1569239057","https://openalex.org/W1989230227","https://openalex.org/W2075766526","https://openalex.org/W2112248103","https://openalex.org/W2121859929","https://openalex.org/W2137547873","https://openalex.org/W2156318352","https://openalex.org/W2157924809","https://openalex.org/W2158688262","https://openalex.org/W2164653071","https://openalex.org/W2288488897","https://openalex.org/W2468765324","https://openalex.org/W2734906619","https://openalex.org/W2962684321","https://openalex.org/W2963909455","https://openalex.org/W7071003250"],"related_works":["https://openalex.org/W1998735102","https://openalex.org/W2325593313","https://openalex.org/W4296869945","https://openalex.org/W2566720177","https://openalex.org/W1631293748","https://openalex.org/W4233002499","https://openalex.org/W2973157039","https://openalex.org/W2792507992","https://openalex.org/W1973389719","https://openalex.org/W2109000805"],"abstract_inverted_index":{"For":[0],"a":[1,75],"broad":[2],"class":[3],"of":[4,15,30,62,74,78,103,113],"hybrid":[5,16,64],"dynamical":[6],"systems,":[7],"we":[8,57],"establish":[9],"results":[10,129],"for":[11],"robust":[12,85],"asymptotic":[13,60,72],"stability":[14,61,73],"limit":[17,39,65],"cycles":[18,40,66],"with":[19,35,119],"multiple":[20],"jumps":[21],"per":[22],"period.":[23],"Hybrid":[24,38],"systems":[25],"are":[26,41,109],"given":[27,42],"in":[28,111],"terms":[29,112],"differential":[31],"and":[32,52,97,100,106,128],"difference":[33],"equations":[34],"set":[36],"constraints.":[37],"by":[43,47],"compact":[44],"sets":[45,108],"defined":[46],"periodic":[48],"solutions":[49],"that":[50,59],"flow":[51,105],"jump.":[53],"Under":[54],"mild":[55],"assumptions,":[56],"show":[58],"such":[63],"is":[67,122],"not":[68],"only":[69],"equivalent":[70],"to":[71,86,90,101,124],"fixed":[76],"point":[77],"the":[79,104,126,131],"associated":[80],"Poincare":[81],"map":[82],"but":[83],"also":[84],"perturbations.":[87],"Specifically,":[88],"robustness":[89],"generic":[91],"perturbations,":[92],"which":[93],"capture":[94],"state":[95],"noise":[96],"unmodeled":[98],"dynamics,":[99],"inflations":[102],"jump":[107],"established":[110],"KL":[114],"bounds.":[115],"A":[116],"two-gene":[117],"network":[118],"binary":[120],"hysteresis":[121],"presented":[123],"illustrate":[125],"notions":[127],"throughout":[130],"paper.":[132]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}