{"id":"https://openalex.org/W3128896248","doi":"https://doi.org/10.1080/00207721.2021.1879306","title":"Input-to-state stability and integral input-to-state stability of non-autonomous infinite-dimensional systems","display_name":"Input-to-state stability and integral input-to-state stability of non-autonomous infinite-dimensional systems","publication_year":2021,"publication_date":"2021-02-03","ids":{"openalex":"https://openalex.org/W3128896248","doi":"https://doi.org/10.1080/00207721.2021.1879306","mag":"3128896248"},"language":"en","primary_location":{"id":"doi:10.1080/00207721.2021.1879306","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2021.1879306","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5085453396","display_name":"Hanen Damak","orcid":"https://orcid.org/0000-0003-4155-9962"},"institutions":[{"id":"https://openalex.org/I142899784","display_name":"University of Sfax","ror":"https://ror.org/04d4sd432","country_code":"TN","type":"education","lineage":["https://openalex.org/I142899784"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"H. Damak","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, University of Sfax, Sfax, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, University of Sfax, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085453396"],"corresponding_institution_ids":["https://openalex.org/I142899784"],"apc_list":null,"apc_paid":null,"fwci":2.9168,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.90724984,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"52","issue":"10","first_page":"2100","last_page":"2113"},"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":0.9994000196456909,"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/T11110","display_name":"Stability and Controllability of Differential Equations","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/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9976000189781189,"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":0.9972000122070312,"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":0.7839851379394531},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.672806978225708},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6116212010383606},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5528237819671631},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5479223728179932},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.5417516827583313},{"id":"https://openalex.org/keywords/banach-space","display_name":"Banach space","score":0.5177294611930847},{"id":"https://openalex.org/keywords/lyapunov-equation","display_name":"Lyapunov equation","score":0.505259096622467},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.46966540813446045},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.45785462856292725},{"id":"https://openalex.org/keywords/lyapunov-redesign","display_name":"Lyapunov redesign","score":0.412977933883667},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41061317920684814},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3920961022377014},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31769371032714844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14276674389839172},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.0825003981590271}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7839851379394531},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.672806978225708},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6116212010383606},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5528237819671631},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5479223728179932},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5417516827583313},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5177294611930847},{"id":"https://openalex.org/C25854792","wikidata":"https://www.wikidata.org/wiki/Q1028945","display_name":"Lyapunov equation","level":4,"score":0.505259096622467},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.46966540813446045},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.45785462856292725},{"id":"https://openalex.org/C37935115","wikidata":"https://www.wikidata.org/wiki/Q6707085","display_name":"Lyapunov redesign","level":4,"score":0.412977933883667},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41061317920684814},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3920961022377014},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31769371032714844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14276674389839172},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0825003981590271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207721.2021.1879306","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207721.2021.1879306","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:taf:tsysxx:v:52:y:2021:i:10:p:2100-2113","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207721.2021.1879306","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W626483778","https://openalex.org/W1527296550","https://openalex.org/W1537653646","https://openalex.org/W1538686203","https://openalex.org/W1981427948","https://openalex.org/W1982243415","https://openalex.org/W1994003949","https://openalex.org/W2017493230","https://openalex.org/W2021190957","https://openalex.org/W2029221561","https://openalex.org/W2038137192","https://openalex.org/W2041889899","https://openalex.org/W2045945087","https://openalex.org/W2060256054","https://openalex.org/W2060542320","https://openalex.org/W2065060801","https://openalex.org/W2080209002","https://openalex.org/W2092180670","https://openalex.org/W2120748789","https://openalex.org/W2126887757","https://openalex.org/W2130238423","https://openalex.org/W2162750481","https://openalex.org/W2177424877","https://openalex.org/W2291100807","https://openalex.org/W2479300520","https://openalex.org/W2583096043","https://openalex.org/W2922413852","https://openalex.org/W2962806586","https://openalex.org/W2963030552","https://openalex.org/W2963115112","https://openalex.org/W2963952850","https://openalex.org/W2964160310","https://openalex.org/W3015163644","https://openalex.org/W3047513975","https://openalex.org/W3100624220","https://openalex.org/W3104949460","https://openalex.org/W3106028347","https://openalex.org/W4229591152","https://openalex.org/W4255361137","https://openalex.org/W4292027189"],"related_works":["https://openalex.org/W2349796700","https://openalex.org/W2383986032","https://openalex.org/W2534107666","https://openalex.org/W3194517843","https://openalex.org/W2121515234","https://openalex.org/W1977987201","https://openalex.org/W2059628530","https://openalex.org/W2210722882","https://openalex.org/W1025006035","https://openalex.org/W2164487476"],"abstract_inverted_index":{"In":[0,90],"this":[1],"paper,":[2],"we":[3,92],"provide":[4],"Lyapunov-based":[5],"tools":[6,84],"to":[7,57,75,110],"establish":[8],"input-to-state":[9,14,60],"stability":[10,15,54,61],"(ISS)":[11],"and":[12,82],"integral":[13,59],"(iISS)":[16],"for":[17,24,62,79,96],"non-autonomous":[18,63],"infinite-dimensional":[19],"systems.":[20],"We":[21],"prove":[22],"that":[23,50],"a":[25,41,94],"class":[26],"of":[27,32,40,98,114],"admissible":[28],"inputs":[29],"the":[30,38,112,115],"existence":[31],"an":[33],"ISS":[34,39],"Lyapunov":[35,71,100],"function":[36,101],"implies":[37],"system":[42],"in":[43,102],"Banach":[44,68],"spaces.":[45,69,104],"Furthermore,":[46],"it":[47],"is":[48,55,73],"shown":[49],"uniform":[51],"global":[52],"asymptotic":[53],"equivalent":[56],"their":[58],"generalised":[64],"bilinear":[65],"systems":[66],"over":[67],"The":[70],"method":[72,95],"provided":[74],"be":[76],"very":[77],"useful":[78],"both":[80],"linear":[81],"nonlinear":[83],"including":[85],"partial":[86],"differential":[87],"equations":[88],"(PDEs).":[89],"addition,":[91],"present":[93],"construction":[97],"iISS":[99],"Hilbert":[103],"Finally,":[105],"two":[106],"examples":[107],"are":[108],"given":[109],"verify":[111],"effectiveness":[113],"proposed":[116],"scheme.":[117]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-28T08:01:55.173337","created_date":"2025-10-10T00:00:00"}
