{"id":"https://openalex.org/W4402378736","doi":"https://doi.org/10.1080/00207179.2024.2397479","title":"Sufficient conditions on input-to-stabilisation of time-varying semi-linear systems with disturbances in Hilbert spaces","display_name":"Sufficient conditions on input-to-stabilisation of time-varying semi-linear systems with disturbances in Hilbert spaces","publication_year":2024,"publication_date":"2024-09-09","ids":{"openalex":"https://openalex.org/W4402378736","doi":"https://doi.org/10.1080/00207179.2024.2397479"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2024.2397479","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2024.2397479","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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 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/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":"Hanen Damak","raw_affiliation_strings":["University of Sfax","Preparatory Engineering Institute of Sfax, Department of Mathematics, University of Sfax, Sfax, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Sfax","institution_ids":["https://openalex.org/I142899784"]},{"raw_affiliation_string":"Preparatory Engineering Institute of Sfax, Department of Mathematics, University of Sfax, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5096362669","display_name":"Fatma Badri","orcid":null},"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":false,"raw_author_name":"Fatma Badri","raw_affiliation_strings":["University of Sfax","Faculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Sfax, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Sfax","institution_ids":["https://openalex.org/I142899784"]},{"raw_affiliation_string":"Faculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068339493","display_name":"Mohamed Ali Hammami","orcid":"https://orcid.org/0000-0002-9347-4525"},"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":false,"raw_author_name":"Mohamed Ali Hammami","raw_affiliation_strings":["University of Sfax","Faculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Sfax, Tunisia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Sfax","institution_ids":["https://openalex.org/I142899784"]},{"raw_affiliation_string":"Faculty of Sciences of Sfax, Department of Mathematics, University of Sfax, Sfax, Tunisia","institution_ids":["https://openalex.org/I142899784"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5085453396"],"corresponding_institution_ids":["https://openalex.org/I142899784"],"apc_list":null,"apc_paid":null,"fwci":0.2889,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.55265075,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"98","issue":"6","first_page":"1392","last_page":"1399"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9991999864578247,"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/mathematics","display_name":"Mathematics","score":0.6272629499435425},{"id":"https://openalex.org/keywords/hilbert-space","display_name":"Hilbert space","score":0.6148272752761841},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4497888684272766},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.44304099678993225},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3552926480770111},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.31743350625038147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.25292354822158813},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.13572296500205994},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0706026554107666}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6272629499435425},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.6148272752761841},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4497888684272766},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.44304099678993225},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3552926480770111},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.31743350625038147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.25292354822158813},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.13572296500205994},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0706026554107666}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2024.2397479","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2024.2397479","pdf_url":null,"source":{"id":"https://openalex.org/S88061139","display_name":"International Journal of Control","issn_l":"0020-7179","issn":["0020-7179","1366-5820"],"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 Control","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.5600000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W55814457","https://openalex.org/W626483778","https://openalex.org/W1527296550","https://openalex.org/W1538686203","https://openalex.org/W1974406902","https://openalex.org/W1976685117","https://openalex.org/W1981427948","https://openalex.org/W2058772826","https://openalex.org/W2059797052","https://openalex.org/W2092180670","https://openalex.org/W2092238827","https://openalex.org/W2095117584","https://openalex.org/W2289149708","https://openalex.org/W2491059672","https://openalex.org/W2510906766","https://openalex.org/W2578989252","https://openalex.org/W2583096043","https://openalex.org/W2963952850","https://openalex.org/W2964160310","https://openalex.org/W2976125600","https://openalex.org/W2999418163","https://openalex.org/W3047513975","https://openalex.org/W3128896248","https://openalex.org/W4292615571","https://openalex.org/W4309110367","https://openalex.org/W4317928722","https://openalex.org/W4361859938"],"related_works":["https://openalex.org/W1982160337","https://openalex.org/W1971380437","https://openalex.org/W1983548084","https://openalex.org/W2141691317","https://openalex.org/W2110846987","https://openalex.org/W2160609742","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W2049254832","https://openalex.org/W1514662352"],"abstract_inverted_index":{"In":[0],"this":[1,27],"paper,":[2],"we":[3,87],"investigate":[4],"the":[5,31,37,42,61,72,80,100,104],"problem":[6,29],"of":[7,10,94,103,116],"input-to-state":[8,22,57,101],"stabilisation":[9,23],"time-varying":[11,105],"semi-linear":[12,106],"systems":[13,107],"with":[14],"disturbance":[15],"in":[16,60,92],"Hilbert":[17],"spaces.":[18],"An":[19,114],"original":[20],"adaptive":[21,73],"strategy":[24],"to":[25,52,98],"derive":[26],"exceptional":[28],"under":[30,108],"nonlinearities":[32],"modelling":[33],"is":[34,50,68,77,121],"proposed":[35],"using":[36],"Lyapunov":[38],"method.":[39],"Since":[40],"all":[41],"states":[43,55,82],"are":[44],"not":[45],"measurable,":[46],"a":[47,65,89,95,109,117],"Luenberger":[48,66],"observer":[49,67],"designed":[51],"estimate":[53],"unmeasurable":[54],"for":[56],"stabilisation.":[58],"Thus,":[59],"design":[62],"procedure,":[63],"first,":[64],"designed,":[69],"and":[70,83],"then":[71],"output":[74],"feedback":[75,112],"controller":[76],"constructed":[78],"via":[79],"estimated":[81],"adaptation":[84],"law.":[85,113],"Moreover,":[86],"give":[88],"sufficient":[90],"condition,":[91],"terms":[93],"perturbation":[96],"term,":[97],"guarantee":[99],"stability":[102],"stabilising":[110],"nonlinear":[111],"example":[115],"controlled":[118],"reaction-diffusion":[119],"equation":[120],"given.":[122]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2025-10-10T00:00:00"}