{"id":"https://openalex.org/W2971504067","doi":"https://doi.org/10.1080/00207179.2019.1663370","title":"Feedback stabilisation and polynomial decay estimate for distributed bilinear parabolic systems with time delay","display_name":"Feedback stabilisation and polynomial decay estimate for distributed bilinear parabolic systems with time delay","publication_year":2019,"publication_date":"2019-09-04","ids":{"openalex":"https://openalex.org/W2971504067","doi":"https://doi.org/10.1080/00207179.2019.1663370","mag":"2971504067"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2019.1663370","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2019.1663370","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/A5017988259","display_name":"A. El Houch","orcid":"https://orcid.org/0000-0002-0518-0616"},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"A. El Houch","raw_affiliation_strings":["Laboratory of Mathematics and Applications, ENS, Hassan II University, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, ENS, Hassan II University, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070287438","display_name":"A. Tsouli","orcid":"https://orcid.org/0000-0002-2392-2636"},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"A. Tsouli","raw_affiliation_strings":["Laboratory of Analysis Modeling and Simulation, ENSAM, Hassan II University, Casablanca, Morocco"],"raw_orcid":"https://orcid.org/0000-0002-2392-2636","affiliations":[{"raw_affiliation_string":"Laboratory of Analysis Modeling and Simulation, ENSAM, Hassan II University, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089440178","display_name":"Y. Benslimane","orcid":null},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Y. Benslimane","raw_affiliation_strings":["Laboratory of Mathematics and Applications, ENSAM, Hassan II University, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, ENSAM, Hassan II University, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5082356269","display_name":"Abdelbaki Attioui","orcid":"https://orcid.org/0000-0001-6396-7727"},"institutions":[{"id":"https://openalex.org/I99297268","display_name":"University of Hassan II Casablanca","ror":"https://ror.org/001q4kn48","country_code":"MA","type":"education","lineage":["https://openalex.org/I99297268"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"A. Attioui","raw_affiliation_strings":["Laboratory of Mathematics and Applications, ENS, Hassan II University, Casablanca, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory of Mathematics and Applications, ENS, Hassan II University, Casablanca, Morocco","institution_ids":["https://openalex.org/I99297268"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070287438"],"corresponding_institution_ids":["https://openalex.org/I99297268"],"apc_list":null,"apc_paid":null,"fwci":0.3369,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.59142476,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"94","issue":"6","first_page":"1693","last_page":"1703"},"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.995199978351593,"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/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9588000178337097,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"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/observability","display_name":"Observability","score":0.9132712483406067},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6865999102592468},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6493462920188904},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.6197690963745117},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6008209586143494},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5731945633888245},{"id":"https://openalex.org/keywords/distributed-parameter-system","display_name":"Distributed parameter system","score":0.531464159488678},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5190873146057129},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4475451707839966},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3820914626121521},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.3658139407634735},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.35738420486450195},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2506551146507263},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2308482825756073},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.11635786294937134}],"concepts":[{"id":"https://openalex.org/C36299963","wikidata":"https://www.wikidata.org/wiki/Q1369844","display_name":"Observability","level":2,"score":0.9132712483406067},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6865999102592468},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6493462920188904},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.6197690963745117},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6008209586143494},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5731945633888245},{"id":"https://openalex.org/C112714845","wikidata":"https://www.wikidata.org/wiki/Q1482001","display_name":"Distributed parameter system","level":3,"score":0.531464159488678},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5190873146057129},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4475451707839966},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3820914626121521},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.3658139407634735},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.35738420486450195},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2506551146507263},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2308482825756073},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.11635786294937134},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2019.1663370","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2019.1663370","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1527296550","https://openalex.org/W1545549373","https://openalex.org/W1605753492","https://openalex.org/W1971105424","https://openalex.org/W1978931216","https://openalex.org/W1981926645","https://openalex.org/W1986351878","https://openalex.org/W1992131861","https://openalex.org/W2005972946","https://openalex.org/W2054138589","https://openalex.org/W2083171193","https://openalex.org/W2085577495","https://openalex.org/W2095117584","https://openalex.org/W2117946728","https://openalex.org/W2126272980","https://openalex.org/W2164478659","https://openalex.org/W3133026174","https://openalex.org/W4300657400"],"related_works":["https://openalex.org/W2046459260","https://openalex.org/W2967463586","https://openalex.org/W1979650255","https://openalex.org/W2026104219","https://openalex.org/W1966874277","https://openalex.org/W2127576301","https://openalex.org/W2314713548","https://openalex.org/W1964018952","https://openalex.org/W4244681779","https://openalex.org/W2275566567"],"abstract_inverted_index":{"In":[0],"this":[1,37],"paper,":[2],"we":[3,39],"examine":[4],"the":[5,48,62],"feedback":[6,44],"stabilisation":[7,22,50],"for":[8],"distributed":[9],"bilinear":[10],"parabolic":[11],"systems":[12],"described":[13],"by":[14],"partial":[15],"differential":[16],"equation":[17],"with":[18],"time":[19],"delay.":[20],"The":[21],"of":[23,61],"a":[24,33,42,52],"such":[25],"system":[26],"reduces":[27],"stabilising":[28],"only":[29],"its":[30],"projection":[31],"on":[32],"suitable":[34],"subspace.":[35],"To":[36],"end,":[38],"will":[40],"propose":[41],"continuous":[43],"control":[45],"that":[46],"guarantees":[47],"strong":[49],"under":[51],"weaker":[53],"observability":[54],"assumption.":[55],"An":[56],"explicit":[57],"decay":[58],"rate":[59],"estimate":[60],"stabilised":[63],"state":[64],"is":[65],"also":[66],"given.":[67],"Besides,":[68],"some":[69],"illustrating":[70],"examples":[71],"and":[72],"simulations":[73],"are":[74],"provided.":[75]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
