{"id":"https://openalex.org/W2142846642","doi":"https://doi.org/10.1109/cdc.2005.1582786","title":"On Input-to-State Stability of Impulsive Systems","display_name":"On Input-to-State Stability of Impulsive Systems","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W2142846642","doi":"https://doi.org/10.1109/cdc.2005.1582786","mag":"2142846642"},"language":"en","primary_location":{"id":"doi:10.1109/cdc.2005.1582786","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582786","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","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/A5065218317","display_name":"Jo\u00e3o P. Hespanha","orcid":"https://orcid.org/0000-0003-2809-4718"},"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":"J.P. Hespanha","raw_affiliation_strings":["Electrical and Comp. Engineering Department, University of California, Santa Barbara, USA","Electrical and Comp. Eng. Dept., Univ. California, Santa Barbara"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Comp. Engineering Department, University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"Electrical and Comp. Eng. Dept., Univ. California, Santa Barbara","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086321981","display_name":"Daniel Liberzon","orcid":"https://orcid.org/0000-0003-2383-0114"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4400573203","display_name":"Nature Inspires Creativity Engineers Lab","ror":"https://ror.org/02bczqy30","country_code":null,"type":"facility","lineage":["https://openalex.org/I201841394","https://openalex.org/I4400573203"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"D. Liberzon","raw_affiliation_strings":["Coordinated Science Laboratory, University of Illinois, Urbana, USA","Coordinated Science Lab"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Coordinated Science Laboratory, University of Illinois, Urbana, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Coordinated Science Lab","institution_ids":["https://openalex.org/I4400573203"]}]},{"author_position":"last","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":"A.R. Teel","raw_affiliation_strings":["Electrical and Comp. Engineering Department, University of California, Santa Barbara, USA","University of California, at Santa Barbara"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical and Comp. Engineering Department, University of California, Santa Barbara, USA","institution_ids":["https://openalex.org/I154570441"]},{"raw_affiliation_string":"University of California, at Santa Barbara","institution_ids":["https://openalex.org/I154570441"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":37.6412,"has_fulltext":false,"cited_by_count":92,"citation_normalized_percentile":{"value":0.99816241,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3992","last_page":"3997"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994000196456909,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9994000196456909,"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/T10040","display_name":"Adaptive Control of Nonlinear 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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/dwell-time","display_name":"Dwell time","score":0.8394082188606262},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7540870904922485},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6499104499816895},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.6379815340042114},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.5723156929016113},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5634565353393555},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5550499558448792},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5031794905662537},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4626375734806061},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3886774182319641},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.16561126708984375},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.15634876489639282},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.10854238271713257},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09594199061393738},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06189867854118347}],"concepts":[{"id":"https://openalex.org/C151637689","wikidata":"https://www.wikidata.org/wiki/Q5318064","display_name":"Dwell time","level":2,"score":0.8394082188606262},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7540870904922485},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6499104499816895},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.6379815340042114},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.5723156929016113},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5634565353393555},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5550499558448792},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5031794905662537},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4626375734806061},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3886774182319641},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.16561126708984375},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.15634876489639282},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.10854238271713257},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09594199061393738},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06189867854118347},{"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/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","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/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C70410870","wikidata":"https://www.wikidata.org/wiki/Q199906","display_name":"Clinical psychology","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/cdc.2005.1582786","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc.2005.1582786","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 44th IEEE Conference on Decision and Control","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.122.6402","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.122.6402","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ece.ucsb.edu/~hespanha/published/tr05-impulsive-iss.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.127.6615","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.127.6615","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ece.ucsb.edu/~hespanha/published/cdc05-impulsive-iss.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.63.9212","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.63.9212","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://black1.csl.uiuc.edu/~liberzon/research/cdc05-impulsive-iss.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.77.183","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.77.183","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://decision.csl.uiuc.edu/~liberzon/research/tr05-impulsive-iss.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W45359070","https://openalex.org/W142549983","https://openalex.org/W567663339","https://openalex.org/W1551360398","https://openalex.org/W1552094772","https://openalex.org/W1900371862","https://openalex.org/W1972945640","https://openalex.org/W2008151824","https://openalex.org/W2017493230","https://openalex.org/W2038137192","https://openalex.org/W2080209002","https://openalex.org/W2091869118","https://openalex.org/W2142846642","https://openalex.org/W2152509212","https://openalex.org/W2155279174","https://openalex.org/W2162750481","https://openalex.org/W2163313703","https://openalex.org/W2165626406","https://openalex.org/W2607614170","https://openalex.org/W4253665534","https://openalex.org/W6601819192","https://openalex.org/W6605791693","https://openalex.org/W6639670352","https://openalex.org/W6835294603"],"related_works":["https://openalex.org/W2898247383","https://openalex.org/W4224312498","https://openalex.org/W1995649400","https://openalex.org/W1508583995","https://openalex.org/W2967346707","https://openalex.org/W2170091984","https://openalex.org/W2164703465","https://openalex.org/W2168383058","https://openalex.org/W2143247663","https://openalex.org/W2050693590"],"abstract_inverted_index":{"This":[0],"paper":[1],"introduces":[2],"appropriate":[3],"concepts":[4],"of":[5,20,53,84,95],"input-to-state":[6],"stability":[7],"(ISS)":[8],"and":[9,64],"integral-ISS":[10],"for":[11,100],"systems":[12,96],"with":[13],"impulsive":[14,36],"effects.":[15],"We":[16,90],"provide":[17],"a":[18,85],"set":[19],"Lyapunov-based":[21],"sufficient":[22],"conditions":[23],"to":[24],"establish":[25],"these":[26],"properties.":[27],"When":[28],"the":[29,35,40,60,65],"continuous":[30,66],"dynamics":[31,67],"are":[32,38,62,68],"stabilizing":[33,63],"but":[34],"effects":[37],"destabilizing,":[39,69],"impulses":[41,61],"should":[42],"not":[43,72],"occur":[44],"too":[45],"frequently,":[46],"which":[47,79],"can":[48],"be":[49,73],"formalized":[50,81],"in":[51,82],"terms":[52,83],"an":[54],"average":[55,87,103],"dwell-time":[56,88],"condition.":[57,89],"Conversely,":[58],"when":[59],"there":[70],"must":[71],"overly":[74],"long":[75],"intervals":[76],"between":[77],"impulses,":[78],"is":[80],"reverse":[86],"also":[91],"investigate":[92],"limiting":[93],"cases":[94],"that":[97],"remain":[98],"stable":[99],"arbitrarily":[101],"small/large":[102],"dwell-times.":[104]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}