{"id":"https://openalex.org/W2169007267","doi":"https://doi.org/10.1109/acc.2002.1024783","title":"Partial stability of discontinuous dynamical systems","display_name":"Partial stability of discontinuous dynamical systems","publication_year":2003,"publication_date":"2003-06-25","ids":{"openalex":"https://openalex.org/W2169007267","doi":"https://doi.org/10.1109/acc.2002.1024783","mag":"2169007267"},"language":"en","primary_location":{"id":"doi:10.1109/acc.2002.1024783","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2002.1024783","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)","raw_type":"proceedings-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/A5046850315","display_name":"A.N. Michel","orcid":null},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A.N. Michel","raw_affiliation_strings":["Department of Electrical Engineering, University of Notre Dame, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049259288","display_name":"A. P. Molchanov","orcid":"https://orcid.org/0000-0003-2133-247X"},"institutions":[{"id":"https://openalex.org/I4210157430","display_name":"V. A. Trapeznikov Institute of Control Sciences","ror":"https://ror.org/05f3yt521","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210157430","https://openalex.org/I4210164537"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A.P. Molchanov","raw_affiliation_strings":["Institute of Control Sciences RAS, Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Control Sciences RAS, Moscow, Russia","institution_ids":["https://openalex.org/I4210157430"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100713882","display_name":"Yuangong Sun","orcid":"https://orcid.org/0000-0003-0616-1932"},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Sun","raw_affiliation_strings":["Department of Electrical Engineering, University of Notre Dame, IN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Notre Dame, IN, USA","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8191,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.81193867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"74","last_page":"79"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9970999956130981,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9970999956130981,"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":0.9929999709129333,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9926000237464905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.7830001711845398},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6148832440376282},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5374714732170105},{"id":"https://openalex.org/keywords/impulse","display_name":"Impulse (physics)","score":0.5340994596481323},{"id":"https://openalex.org/keywords/metric-space","display_name":"Metric space","score":0.5336407423019409},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5289646983146667},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5174515843391418},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5164918899536133},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4553154408931732},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4180622100830078},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29602229595184326},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08900919556617737},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07416093349456787}],"concepts":[{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.7830001711845398},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6148832440376282},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5374714732170105},{"id":"https://openalex.org/C70836080","wikidata":"https://www.wikidata.org/wiki/Q837940","display_name":"Impulse (physics)","level":2,"score":0.5340994596481323},{"id":"https://openalex.org/C198043062","wikidata":"https://www.wikidata.org/wiki/Q180953","display_name":"Metric space","level":2,"score":0.5336407423019409},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5289646983146667},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5174515843391418},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5164918899536133},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4553154408931732},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4180622100830078},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29602229595184326},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08900919556617737},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07416093349456787},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/acc.2002.1024783","is_oa":false,"landing_page_url":"https://doi.org/10.1109/acc.2002.1024783","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W567663339","https://openalex.org/W1481166503","https://openalex.org/W1527177198","https://openalex.org/W2128207259","https://openalex.org/W2166856345","https://openalex.org/W2495048106","https://openalex.org/W3004134789","https://openalex.org/W4232504533","https://openalex.org/W4253318987","https://openalex.org/W4254127125","https://openalex.org/W6835249776"],"related_works":["https://openalex.org/W2379773606","https://openalex.org/W1539575243","https://openalex.org/W4210969128","https://openalex.org/W2119597290","https://openalex.org/W1997409431","https://openalex.org/W1987553284","https://openalex.org/W1548891870","https://openalex.org/W2377085206","https://openalex.org/W2481327100","https://openalex.org/W2230606337"],"abstract_inverted_index":{"We":[0,78],"develop":[1],"results":[2,25,57,68,81,107],"for":[3],"partial":[4],"stability":[5,21],"of":[6,33,64,85,89],"discontinuous":[7],"dynamical":[8,92],"systems":[9,34,93],"(DDS)":[10],"with":[11],"respect":[12],"to":[13,28,39,55,61,70,95],"invariant":[14,71],"sets":[15,72],"defined":[16],"on":[17],"metric":[18],"space,":[19],"using":[20],"preserving":[22],"mappings.":[23],"Our":[24],"are":[26,108],"applicable":[27],"a":[29,86],"much":[30],"larger":[31],"class":[32,88],"than":[35,111],"existing":[36,56,112],"results,":[37],"including":[38],"DDS":[40],"that":[41,101],"cannot":[42],"be":[43],"determined":[44],"by":[45],"the":[46,62,66,83],"usual":[47],"(differential)":[48],"equations":[49],"or":[50],"inequalities.":[51],"Furthermore,":[52],"in":[53,82,102],"contrast":[54],"which":[58],"pertain":[59],"primarily":[60],"analysis":[63,84],"equilibria,":[65],"present":[67],"apply":[69,79],"(including":[73],"equilibria":[74],"as":[75],"special":[76,87],"cases).":[77],"our":[80,106],"finite":[90],"dimensional":[91],"subject":[94],"impulse":[96],"effects,":[97],"and":[98],"we":[99],"show":[100],"this":[103],"particular":[104],"case,":[105],"less":[109],"conservative":[110],"ones.":[113]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
