{"id":"https://openalex.org/W3211115055","doi":"https://doi.org/10.1109/tac.2021.3099453","title":"Lyapunov\u2013Krasovskii Characterizations of Integral Input-to-State Stability of Delay Systems With Nonstrict Dissipation Rates","display_name":"Lyapunov\u2013Krasovskii Characterizations of Integral Input-to-State Stability of Delay Systems With Nonstrict Dissipation Rates","publication_year":2021,"publication_date":"2021-07-26","ids":{"openalex":"https://openalex.org/W3211115055","doi":"https://doi.org/10.1109/tac.2021.3099453","mag":"3211115055"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2021.3099453","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3099453","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/A5058680776","display_name":"Antoine Chaillet","orcid":"https://orcid.org/0000-0003-4095-0468"},"institutions":[{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210097418","display_name":"Laboratoire des signaux et syst\u00e8mes","ror":"https://ror.org/00skw9v43","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210097418","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Antoine Chaillet","raw_affiliation_strings":["Laboratoire des Signaux et Syst&#x00E8;mes, CentraleSup&#x00E9;lec, University of Paris-Saclay, Gif sur Yvette, France"],"affiliations":[{"raw_affiliation_string":"Laboratoire des Signaux et Syst&#x00E8;mes, CentraleSup&#x00E9;lec, University of Paris-Saclay, Gif sur Yvette, France","institution_ids":["https://openalex.org/I4210097418","https://openalex.org/I277688954"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037636432","display_name":"G\u00f6khan G\u00f6ksu","orcid":"https://orcid.org/0000-0001-8442-9637"},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Gokhan Goksu","raw_affiliation_strings":["Department of Mathematics, Istanbul Technical University, Istanbul, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Istanbul Technical University, Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051832041","display_name":"Pierdomenico Pepe","orcid":"https://orcid.org/0000-0001-8522-1643"},"institutions":[{"id":"https://openalex.org/I26415053","display_name":"University of L'Aquila","ror":"https://ror.org/01j9p1r26","country_code":"IT","type":"education","lineage":["https://openalex.org/I26415053"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Pierdomenico Pepe","raw_affiliation_strings":["Center of Excellence for Research DEWS, Department of Information Engineering, Computer Science, and Mathematics, University of L&#x2019;Aquila, L&#x2019;Aquila, Italy"],"affiliations":[{"raw_affiliation_string":"Center of Excellence for Research DEWS, Department of Information Engineering, Computer Science, and Mathematics, University of L&#x2019;Aquila, L&#x2019;Aquila, Italy","institution_ids":["https://openalex.org/I26415053"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058680776"],"corresponding_institution_ids":["https://openalex.org/I277688954","https://openalex.org/I4210097418"],"apc_list":null,"apc_paid":null,"fwci":3.0382,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.91585839,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"67","issue":"7","first_page":"3259","last_page":"3272"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9991000294685364,"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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9991000294685364,"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/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.998199999332428,"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":0.9980999827384949,"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/mathematics","display_name":"Mathematics","score":0.6612884998321533},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.618232250213623},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.604065477848053},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5702869296073914},{"id":"https://openalex.org/keywords/pointwise","display_name":"Pointwise","score":0.557236909866333},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.43924155831336975},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4355083107948303},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4023827314376831},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3596994876861572},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.32115495204925537},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15635091066360474},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0956442654132843},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.06498420238494873}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6612884998321533},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.618232250213623},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.604065477848053},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5702869296073914},{"id":"https://openalex.org/C2777984123","wikidata":"https://www.wikidata.org/wiki/Q9248237","display_name":"Pointwise","level":2,"score":0.557236909866333},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.43924155831336975},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4355083107948303},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4023827314376831},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3596994876861572},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.32115495204925537},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15635091066360474},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0956442654132843},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.06498420238494873},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2021.3099453","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2021.3099453","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:HAL:hal-03520499v1","is_oa":false,"landing_page_url":"https://centralesupelec.hal.science/hal-03520499","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0018-9286","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:polen.itu.edu.tr:11527/49718","is_oa":false,"landing_page_url":"https://hdl.handle.net/11527/49718","pdf_url":null,"source":{"id":"https://openalex.org/S4306400460","display_name":"Istanbul Technical University Academic Open Archive (Istanbul Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I48912391","host_organization_name":"Istanbul Technical University","host_organization_lineage":["https://openalex.org/I48912391"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.6899999976158142,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W55814457","https://openalex.org/W626483778","https://openalex.org/W1531925663","https://openalex.org/W1968742902","https://openalex.org/W1972257629","https://openalex.org/W1982267787","https://openalex.org/W2010340595","https://openalex.org/W2015599646","https://openalex.org/W2017493230","https://openalex.org/W2021342695","https://openalex.org/W2022972701","https://openalex.org/W2027342926","https://openalex.org/W2061642527","https://openalex.org/W2079871064","https://openalex.org/W2080209002","https://openalex.org/W2092180670","https://openalex.org/W2134311800","https://openalex.org/W2162750481","https://openalex.org/W2479300520","https://openalex.org/W2587949681","https://openalex.org/W2742775389","https://openalex.org/W2765173471","https://openalex.org/W2765367018","https://openalex.org/W2783323967","https://openalex.org/W2912215462","https://openalex.org/W2912571650","https://openalex.org/W2914073726","https://openalex.org/W3047513975","https://openalex.org/W3100624220","https://openalex.org/W4290082799"],"related_works":["https://openalex.org/W2140020064","https://openalex.org/W143502885","https://openalex.org/W42113618","https://openalex.org/W2103468410","https://openalex.org/W1856228368","https://openalex.org/W372303224","https://openalex.org/W2334192003","https://openalex.org/W2044253638","https://openalex.org/W1990786645","https://openalex.org/W2351792710"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,102],"provide":[4],"several":[5,138],"characterizations":[6,16],"of":[7,12,30,52,61,70,85,106,121,132,146,155,170],"integral":[8],"input-to-state":[9],"stability":[10,158,169],"(iISS)":[11],"time-delay":[13,122,141],"systems.":[14,134],"These":[15,113],"differ":[17],"in":[18,41],"the":[19,21,28,31,37,49,53,58,62,71,118,160,171],"way":[20],"considered":[22],"Lyapunov\u2013Krasovskii":[23],"functionals":[24],"(LKFs)":[25],"dissipate":[26],"along":[27],"solutions":[29],"system.":[32],"This":[33],"dissipation":[34,115],"can":[35,46],"involve":[36,48],"LKF":[38],"itself,":[39],"as":[40],"existing":[42],"iISS":[43,119,128,163],"characterizations,":[44],"but":[45],"alternatively":[47],"instantaneous":[50],"value":[51],"solution\u2019s":[54],"norm":[55,60],"(pointwise":[56],"dissipation),":[57,66],"supremum":[59],"state":[63,179],"history":[64],"(historywise":[65],"or":[67],"a":[68,92,152,175],"mix":[69],"two":[72],"(":[73],"<inline-formula":[74],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[75],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex-math":[76],"notation=\"LaTeX\">${\\mathcal":[77],"K}{\\mathcal":[78],"L}$</tex-math></inline-formula>":[79],"dissipation).":[80],"We":[81],"show":[82,103],"that":[83,104,131,143,162],"all":[84],"them":[86,107],"guarantee":[87],"iISS.":[88,112],"By":[89],"relying":[90],"on":[91,137,148],"recent":[93],"converse":[94],"result":[95],"by":[96],"Y.":[97,100],"Lin":[98],"and":[99,124,159],"Wang,":[101],"most":[105],"are":[108],"also":[109],"necessary":[110],"for":[111,140],"relaxed":[114],"rates":[116],"simplify":[117],"analysis":[120],"systems":[123,142],"contribute":[125],"to":[126,166],"uniforming":[127],"theory":[129],"with":[130],"input-free":[133,172],"Proofs":[135],"rely":[136],"results":[139],"may":[144],"be":[145],"interest":[147],"their":[149],"own,":[150],"including":[151],"novel":[153],"characterization":[154],"global":[156,167],"asymptotic":[157,168],"fact":[161],"is":[164],"equivalent":[165],"system":[173],"plus":[174],"uniform":[176],"bounded":[177],"energy-bounded":[178],"property.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-10-10T00:00:00"}
