{"id":"https://openalex.org/W2965867446","doi":"https://doi.org/10.1080/00207179.2019.1652767","title":"Stabilisation of the gradient of distributed bilinear systems","display_name":"Stabilisation of the gradient of distributed bilinear systems","publication_year":2019,"publication_date":"2019-08-06","ids":{"openalex":"https://openalex.org/W2965867446","doi":"https://doi.org/10.1080/00207179.2019.1652767","mag":"2965867446"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2019.1652767","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2019.1652767","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/A5050218070","display_name":"El Hassan Zerrik","orcid":"https://orcid.org/0000-0002-7677-8308"},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"El Hassan Zerrik","raw_affiliation_strings":["MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-7677-8308","affiliations":[{"raw_affiliation_string":"MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco","institution_ids":["https://openalex.org/I4210153608"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077720504","display_name":"Lahcen Ezzaki","orcid":"https://orcid.org/0000-0003-4111-3354"},"institutions":[{"id":"https://openalex.org/I4210153608","display_name":"Universit\u00e9 Moulay Ismail de Meknes","ror":"https://ror.org/04cnscd67","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210153608"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Lahcen Ezzaki","raw_affiliation_strings":["MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco"],"raw_orcid":"https://orcid.org/0000-0003-4111-3354","affiliations":[{"raw_affiliation_string":"MACS Laboratory, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco","institution_ids":["https://openalex.org/I4210153608"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5050218070"],"corresponding_institution_ids":["https://openalex.org/I4210153608"],"apc_list":null,"apc_paid":null,"fwci":0.6739,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.70319865,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"94","issue":"6","first_page":"1448","last_page":"1454"},"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":0.9998999834060669,"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":0.9998999834060669,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.7184890508651733},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5311863422393799},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4988834857940674},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43844282627105713},{"id":"https://openalex.org/keywords/bilinear-transform","display_name":"Bilinear transform","score":0.4226642847061157},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41478702425956726},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3164982199668884},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.29868990182876587},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0699564516544342},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0484619140625}],"concepts":[{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.7184890508651733},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5311863422393799},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4988834857940674},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43844282627105713},{"id":"https://openalex.org/C109786386","wikidata":"https://www.wikidata.org/wiki/Q861804","display_name":"Bilinear transform","level":4,"score":0.4226642847061157},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41478702425956726},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3164982199668884},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.29868990182876587},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0699564516544342},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0484619140625},{"id":"https://openalex.org/C36390408","wikidata":"https://www.wikidata.org/wiki/Q1163067","display_name":"Digital filter","level":3,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2019.1652767","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2019.1652767","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":[],"awards":[{"id":"https://openalex.org/G2713105889","display_name":null,"funder_award_id":"630/2016","funder_id":"https://openalex.org/F4320321943","funder_display_name":"Acad\u00e9mie Hassan II\u00a0des Sciences et Techniques"}],"funders":[{"id":"https://openalex.org/F4320321943","display_name":"Acad\u00e9mie Hassan II\u00a0des Sciences et Techniques","ror":"https://ror.org/03ymhqy66"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W571963652","https://openalex.org/W603367508","https://openalex.org/W1517228471","https://openalex.org/W1527296550","https://openalex.org/W1561210741","https://openalex.org/W1966184505","https://openalex.org/W1967967021","https://openalex.org/W1978625303","https://openalex.org/W2024700180","https://openalex.org/W2037371051","https://openalex.org/W2085912074","https://openalex.org/W2417516394","https://openalex.org/W2793181437","https://openalex.org/W4251484177"],"related_works":["https://openalex.org/W2144625964","https://openalex.org/W2384243664","https://openalex.org/W2352500014","https://openalex.org/W2105341163","https://openalex.org/W4321259672","https://openalex.org/W2366421106","https://openalex.org/W169232850","https://openalex.org/W2369988800","https://openalex.org/W1630032507","https://openalex.org/W1528439037"],"abstract_inverted_index":{"The":[0,27],"aim":[1],"of":[2,11],"this":[3],"paper":[4],"is":[5],"to":[6],"investigate":[7],"the":[8],"gradient":[9,25],"stabilisation":[10],"infinite-dimensional":[12],"bilinear":[13],"systems.":[14],"Then":[15],"under":[16],"sufficient":[17],"conditions,":[18],"we":[19],"establish":[20],"exponential,":[21],"strong":[22],"and":[23],"weak":[24],"stabilisation.":[26],"obtained":[28],"results":[29],"are":[30],"illustrated":[31],"by":[32],"simulations.":[33]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
