{"id":"https://openalex.org/W4404342282","doi":"https://doi.org/10.1109/tac.2025.3648514","title":"Lyapunov Characterization for ISS of Impulsive Switched Systems","display_name":"Lyapunov Characterization for ISS of Impulsive Switched Systems","publication_year":2025,"publication_date":"2025-12-26","ids":{"openalex":"https://openalex.org/W4404342282","doi":"https://doi.org/10.1109/tac.2025.3648514"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2025.3648514","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3648514","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2410.22521","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103734705","display_name":"Saeed Ahmed","orcid":null},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Saeed Ahmed","raw_affiliation_strings":["Jan C. Willems Center for Systems and Control and the Engineering, and Technology Institute Groningen (ENTEG), Faculty of Science and Engineering, University of Groningen, Groningen, AG, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0001-9545-9313","affiliations":[{"raw_affiliation_string":"Jan C. Willems Center for Systems and Control and the Engineering, and Technology Institute Groningen (ENTEG), Faculty of Science and Engineering, University of Groningen, Groningen, AG, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036288337","display_name":"Patrick Bachmann","orcid":"https://orcid.org/0000-0001-6157-5500"},"institutions":[{"id":"https://openalex.org/I54009628","display_name":"University of Bayreuth","ror":"https://ror.org/0234wmv40","country_code":"DE","type":"education","lineage":["https://openalex.org/I54009628"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Patrick Bachmann","raw_affiliation_strings":["Department of Mathematics, University of Bayreuth, Bayreuth, Germany"],"raw_orcid":"https://orcid.org/0000-0001-6157-5500","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Bayreuth, Bayreuth, Germany","institution_ids":["https://openalex.org/I54009628"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043502547","display_name":"Stephan Trenn","orcid":"https://orcid.org/0000-0002-0947-0282"},"institutions":[{"id":"https://openalex.org/I169381384","display_name":"University of Groningen","ror":"https://ror.org/012p63287","country_code":"NL","type":"education","lineage":["https://openalex.org/I169381384"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Stephan Trenn","raw_affiliation_strings":["Jan C. Willems Center for Systems and Control and the Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence, Faculty of Science and Engineering, University of Groningen, Groningen, AG, The Netherlands"],"raw_orcid":"https://orcid.org/0000-0002-0947-0282","affiliations":[{"raw_affiliation_string":"Jan C. Willems Center for Systems and Control and the Bernoulli Institute for Mathematics, Computer Science, and Artificial Intelligence, Faculty of Science and Engineering, University of Groningen, Groningen, AG, The Netherlands","institution_ids":["https://openalex.org/I169381384"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00112226,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"6","first_page":"3772","last_page":"3787"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.988099992275238,"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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.988099992275238,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9797000288963318,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9247000217437744,"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/characterization","display_name":"Characterization (materials science)","score":0.6706259846687317},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5652291178703308},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4347411096096039},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37236902117729187},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17152103781700134},{"id":"https://openalex.org/keywords/nanotechnology","display_name":"Nanotechnology","score":0.11827382445335388},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.1145780086517334},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10263440012931824},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08970972895622253},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.059894412755966187}],"concepts":[{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6706259846687317},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5652291178703308},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4347411096096039},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37236902117729187},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17152103781700134},{"id":"https://openalex.org/C171250308","wikidata":"https://www.wikidata.org/wiki/Q11468","display_name":"Nanotechnology","level":1,"score":0.11827382445335388},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.1145780086517334},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10263440012931824},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08970972895622253},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.059894412755966187},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1109/tac.2025.3648514","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2025.3648514","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:arXiv.org:2410.22521","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.22521","pdf_url":"https://arxiv.org/pdf/2410.22521","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:doi:10.48550/arxiv.2410.22521","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/473b57f5-7768-4ef1-9d30-24f9d13fe396","is_oa":false,"landing_page_url":"https://hdl.handle.net/11370/473b57f5-7768-4ef1-9d30-24f9d13fe396","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ahmed, S, Bachmann, P & Trenn, S 2024 'Lyapunov Characterization for ISS of Impulsive Switched Systems' arXiv. https://doi.org/10.48550/arXiv.2410.22521","raw_type":"workingPaper"},{"id":"pmh:oai:pure.rug.nl:openaire_cris_publications/4f1e716b-8e6c-4059-9013-8684ab4774f2","is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/4f1e716b-8e6c-4059-9013-8684ab4774f2","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ahmed , S , Bachmann , P &amp; Trenn , S 2024 ' Lyapunov Characterization for ISS of Impulsive Switched Systems ' . https://doi.org/10.48550/arXiv.2410.22521","raw_type":"workingPaper"},{"id":"pmh:oai:pure.rug.nl:publications/473b57f5-7768-4ef1-9d30-24f9d13fe396","is_oa":false,"landing_page_url":"https://research.rug.nl/en/publications/473b57f5-7768-4ef1-9d30-24f9d13fe396","pdf_url":null,"source":{"id":"https://openalex.org/S4306400420","display_name":"University of Groningen research database (University of Groningen / Centre for Information Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I169381384","host_organization_name":"University of Groningen","host_organization_lineage":["https://openalex.org/I169381384"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Ahmed, S, Bachmann, P & Trenn, S 2024 'Lyapunov Characterization for ISS of Impulsive Switched Systems' arXiv. https://doi.org/10.48550/arXiv.2410.22521","raw_type":"workingPaper"},{"id":"doi:10.48550/arxiv.2410.22521","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2410.22521","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2410.22521","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.22521","pdf_url":"https://arxiv.org/pdf/2410.22521","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3271711122","display_name":null,"funder_award_id":"MI 1886/5-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404342282.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W3107994849","https://openalex.org/W4247143848","https://openalex.org/W2009883749","https://openalex.org/W2735573198","https://openalex.org/W2390279801","https://openalex.org/W29442446","https://openalex.org/W4391913857"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"we":[3,39,57,145,173],"investigate":[4],"input-to-state":[5],"stability":[6],"(ISS)":[7],"of":[8,43,74,76,106,140,180,184],"impulsive":[9,185],"switched":[10,186],"systems":[11,187],"that":[12,23,49,65,71,125],"have":[13,119],"modes":[14],"with":[15,165],"both":[16],"stable":[17],"and":[18,31,62,84,150,158],"unstable":[19],"flows.":[20],"We":[21,89],"assume":[22],"the":[24,72,155,189],"switching":[25,156,190],"signal":[26,157,191],"satisfies":[27],"mode-dependent":[28],"average":[29],"dwell":[30,149],"leave":[32,151],"time":[33,152],"conditions.":[34],"To":[35],"establish":[36],"ISS":[37,179],"conditions,":[38],"propose":[40],"two":[41],"types":[42],"time-varying":[44,164],"ISS-":[45,78,99,160],"Lyapunov":[46,79,100,161],"functions:":[47],"one":[48,64],"is":[50,66,81,110,143,192],"not":[51],"necessarily":[52],"decreasing":[53,98],"along":[54],"trajectories,":[55],"which":[56,109],"call":[58],"<italic":[59],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[60],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">generalized</i>,":[61],"another":[63],"decreasing.":[67],"Our":[68,116],"research":[69,124],"proves":[70],"existence":[73],"either":[75],"these":[77],"functions":[80,162],"a":[82,92,97,103,137,175,181],"necessary":[83],"sufficient":[85,128],"condition":[86],"for":[87,95,112,130],"ISS.":[88],"also":[90,118],"present":[91],"strictification":[93],"technique":[94],"constructing":[96],"function":[101],"from":[102],"large":[104],"class":[105,139,183],"generalized":[107],"ones,":[108],"useful":[111],"its":[113],"own":[114],"sake.":[115],"findings":[117],"added":[120],"value":[121],"to":[122,136,177],"previous":[123],"only":[126],"studied":[127],"conditions":[129,168],"ISS,":[131],"as":[132],"our":[133,159],"results":[134],"apply":[135],"broader":[138],"systems.":[141],"This":[142],"because":[144],"impose":[146],"less":[147],"restrictive":[148],"constraints":[153],"on":[154,170],"are":[163],"general":[166],"nonlinear":[167],"imposed":[169],"them.":[171],"Moreover,":[172],"provide":[174],"method":[176],"guarantee":[178],"particular":[182],"when":[188],"unknown.":[193]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2024-11-14T00:00:00"}
