{"id":"https://openalex.org/W4388561993","doi":"https://doi.org/10.1109/icstcc59206.2023.10308493","title":"Some Remarks on the Pendulum Stabilization. Multiple Delays &amp; Decay Rate Assignment","display_name":"Some Remarks on the Pendulum Stabilization. Multiple Delays &amp; Decay Rate Assignment","publication_year":2023,"publication_date":"2023-10-11","ids":{"openalex":"https://openalex.org/W4388561993","doi":"https://doi.org/10.1109/icstcc59206.2023.10308493"},"language":"en","primary_location":{"id":"doi:10.1109/icstcc59206.2023.10308493","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icstcc59206.2023.10308493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 27th International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://centralesupelec.hal.science/hal-04213496/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5093236402","display_name":"Amira Remadna","orcid":null},"institutions":[{"id":"https://openalex.org/I108754898","display_name":"Badji Mokhtar University","ror":"https://ror.org/03sf55932","country_code":"DZ","type":"education","lineage":["https://openalex.org/I108754898"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Amira Remadna","raw_affiliation_strings":["Badji Mokhtar University,Faculty of sciences, Laboratory of Applied Mathematics,Department of Mathematics,Annaba,Algeria","UBMA - Universit\u00e9 Badji Mokhtar [Annaba] (17 hassen chaouche, Annaba 23000, Alg\u00e9rie - Algeria)"],"affiliations":[{"raw_affiliation_string":"Badji Mokhtar University,Faculty of sciences, Laboratory of Applied Mathematics,Department of Mathematics,Annaba,Algeria","institution_ids":["https://openalex.org/I108754898"]},{"raw_affiliation_string":"UBMA - Universit\u00e9 Badji Mokhtar [Annaba] (17 hassen chaouche, Annaba 23000, Alg\u00e9rie - Algeria)","institution_ids":["https://openalex.org/I108754898"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016703524","display_name":"Islam Boussaada","orcid":"https://orcid.org/0000-0001-7020-6395"},"institutions":[{"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"]},{"id":"https://openalex.org/I58581550","display_name":"Institut Polytechnique des Sciences Avanc\u00e9es","ror":"https://ror.org/050r7zc91","country_code":"FR","type":"education","lineage":["https://openalex.org/I58581550"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Islam Boussaada","raw_affiliation_strings":["Universit&#x00E9; Paris-Saclay, CNRS, CentraleSup&#x00E9;lec, Inria, Laboratoire des Signaux et Syst&#x00C9;mes,Gif-sur-Yvette,France,91190","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","IPSA - Institut Polytechnique des Sciences Avanc\u00e9es (5-9 rue Maurice Grandcoing 94200 Ivry-sur-Seine - France)"],"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; Paris-Saclay, CNRS, CentraleSup&#x00E9;lec, Inria, Laboratoire des Signaux et Syst&#x00C9;mes,Gif-sur-Yvette,France,91190","institution_ids":["https://openalex.org/I4210097418","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]},{"raw_affiliation_string":"DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","institution_ids":["https://openalex.org/I4210107720"]},{"raw_affiliation_string":"IPSA - Institut Polytechnique des Sciences Avanc\u00e9es (5-9 rue Maurice Grandcoing 94200 Ivry-sur-Seine - France)","institution_ids":["https://openalex.org/I58581550"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028962174","display_name":"Fazia Bedouhene","orcid":"https://orcid.org/0000-0002-2664-2445"},"institutions":[{"id":"https://openalex.org/I4210159538","display_name":"Mouloud Mammeri University of Tizi-Ouzou","ror":"https://ror.org/050ktqq97","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210159538"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Fazia Bedouhene","raw_affiliation_strings":["Mouloud Mammeri University of Tizi-Ouzou,Laboratoire de Math&#x00E9;matiques Pures et appliqu&#x00E9;es,Tizi-Ouzou,Algeria","LMPA - Laboratoire de Math\u00e9matiques Pures et Appliqu\u00e9es [Tizi-Ouzou] (Universit\u00e9 Mouloud Mammeri de Tizi-Ouzou, Alg\u00e9rie - Algeria)"],"affiliations":[{"raw_affiliation_string":"Mouloud Mammeri University of Tizi-Ouzou,Laboratoire de Math&#x00E9;matiques Pures et appliqu&#x00E9;es,Tizi-Ouzou,Algeria","institution_ids":["https://openalex.org/I4210159538"]},{"raw_affiliation_string":"LMPA - Laboratoire de Math\u00e9matiques Pures et Appliqu\u00e9es [Tizi-Ouzou] (Universit\u00e9 Mouloud Mammeri de Tizi-Ouzou, Alg\u00e9rie - Algeria)","institution_ids":["https://openalex.org/I4210159538"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058754609","display_name":"Silviu\u2010Iulian Niculescu","orcid":"https://orcid.org/0000-0002-3444-2566"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210107720","display_name":"CentraleSup\u00e9lec","ror":"https://ror.org/019tcpt25","country_code":"FR","type":"facility","lineage":["https://openalex.org/I277688954","https://openalex.org/I4210107720"]},{"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":false,"raw_author_name":"Silviu-Iulian Niculescu","raw_affiliation_strings":["Universit&#x00E9; Paris-Saclay, CNRS, CentraleSup&#x00E9;lec, Inria, Laboratoire des Signaux et Syst&#x00C9;mes,Gif-sur-Yvette,France,91190","DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"Universit&#x00E9; Paris-Saclay, CNRS, CentraleSup&#x00E9;lec, Inria, Laboratoire des Signaux et Syst&#x00C9;mes,Gif-sur-Yvette,France,91190","institution_ids":["https://openalex.org/I4210097418","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"DISCO - Dynamical Interconnected Systems in COmplex Environments (CentraleSupelec 3 rue Joliot-Curie 91192 Gif-sur-Yvette cedex - France)","institution_ids":["https://openalex.org/I4210107720"]},{"raw_affiliation_string":"L2S - Laboratoire des signaux et syst\u00e8mes (Plateau de Moulon 3 rue Joliot Curie 91192 GIF SUR YVETTE CEDEX - France)","institution_ids":["https://openalex.org/I4210097418"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003974110","display_name":"Azzedine Benchettah","orcid":null},"institutions":[{"id":"https://openalex.org/I108754898","display_name":"Badji Mokhtar University","ror":"https://ror.org/03sf55932","country_code":"DZ","type":"education","lineage":["https://openalex.org/I108754898"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Azzedine Benchettah","raw_affiliation_strings":["Badji Mokhtar University,Faculty of sciences, Laboratory of Applied Mathematics,Department of Mathematics,Annaba,Algeria","UBMA - Universit\u00e9 Badji Mokhtar [Annaba] (17 hassen chaouche, Annaba 23000, Alg\u00e9rie - Algeria)"],"affiliations":[{"raw_affiliation_string":"Badji Mokhtar University,Faculty of sciences, Laboratory of Applied Mathematics,Department of Mathematics,Annaba,Algeria","institution_ids":["https://openalex.org/I108754898"]},{"raw_affiliation_string":"UBMA - Universit\u00e9 Badji Mokhtar [Annaba] (17 hassen chaouche, Annaba 23000, Alg\u00e9rie - Algeria)","institution_ids":["https://openalex.org/I108754898"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5093236402"],"corresponding_institution_ids":["https://openalex.org/I108754898"],"apc_list":null,"apc_paid":null,"fwci":0.3724,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60608094,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"192","last_page":"197"},"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":0.9983999729156494,"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":0.9983999729156494,"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":0.9980000257492065,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/multiplicity","display_name":"Multiplicity (mathematics)","score":0.8123788833618164},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5644133687019348},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5111375451087952},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4586579203605652},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45409294962882996},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.43469563126564026},{"id":"https://openalex.org/keywords/pendulum","display_name":"Pendulum","score":0.4111316502094269},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2944403886795044},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23515868186950684},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15976032614707947}],"concepts":[{"id":"https://openalex.org/C156004811","wikidata":"https://www.wikidata.org/wiki/Q2228257","display_name":"Multiplicity (mathematics)","level":2,"score":0.8123788833618164},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5644133687019348},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5111375451087952},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4586579203605652},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45409294962882996},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.43469563126564026},{"id":"https://openalex.org/C110639684","wikidata":"https://www.wikidata.org/wiki/Q20702","display_name":"Pendulum","level":2,"score":0.4111316502094269},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2944403886795044},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23515868186950684},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15976032614707947},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/icstcc59206.2023.10308493","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icstcc59206.2023.10308493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 27th International Conference on System Theory, Control and Computing (ICSTCC)","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-04213496v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-04213496","pdf_url":"https://centralesupelec.hal.science/hal-04213496/document","source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"27th International Conference on System Theory, Control and Computing, Oct 2023, Timisoara, Romania. &#x27E8;10.1109/icstcc59206.2023.10308493&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-04213496v1","is_oa":true,"landing_page_url":"https://centralesupelec.hal.science/hal-04213496","pdf_url":"https://centralesupelec.hal.science/hal-04213496/document","source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"27th International Conference on System Theory, Control and Computing, Oct 2023, Timisoara, Romania. &#x27E8;10.1109/icstcc59206.2023.10308493&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388561993.pdf","grobid_xml":"https://content.openalex.org/works/W4388561993.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W12260108","https://openalex.org/W561938405","https://openalex.org/W1506119886","https://openalex.org/W2019311512","https://openalex.org/W2149971042","https://openalex.org/W2467963231","https://openalex.org/W2506632866","https://openalex.org/W2772531509","https://openalex.org/W3004050403","https://openalex.org/W3005705718","https://openalex.org/W3006418118","https://openalex.org/W3169934663","https://openalex.org/W3183691305","https://openalex.org/W3191777493","https://openalex.org/W4210960242","https://openalex.org/W4221032876","https://openalex.org/W4322716197","https://openalex.org/W4396757266","https://openalex.org/W6803832311"],"related_works":["https://openalex.org/W4230581126","https://openalex.org/W4378765297","https://openalex.org/W2761548024","https://openalex.org/W2016521071","https://openalex.org/W2001367988","https://openalex.org/W2069384021","https://openalex.org/W1990308498","https://openalex.org/W1986629578","https://openalex.org/W2369988800","https://openalex.org/W4287905284"],"abstract_inverted_index":{"A":[0],"series":[1],"of":[2,9,15,23,41,81,92,107,115,117],"recent":[3],"works":[4],"have":[5],"highlighted":[6],"the":[7,13,16,21,39,62,67,79,93,108,113,118,125],"interest":[8],"multiplicity":[10,49],"varieties":[11],"in":[12,38,56,71],"characterization":[14,91],"exponential":[17],"decay":[18],"rate":[19],"for":[20,96],"solution":[22],"linear":[24],"dynamical":[25],"systems":[26,98],"represented":[27],"by":[28,100],"delayed":[29,126],"differential":[30],"equations.":[31],"In":[32],"fact,":[33],"it":[34],"has":[35],"been":[36],"shown":[37],"case":[40,80],"a":[42,46,73,76,89,101],"single":[43],"delay":[44],"that":[45],"sufficiently":[47],"high":[48],"spectral":[50],"value":[51],"tends":[52],"to":[53,124],"be":[54],"dominant,":[55],"what":[57],"is":[58],"now":[59],"known":[60],"as":[61],"multiplicity-induced-dominance":[63],"property":[64,95],"(MID).":[65],"Despite":[66],"many":[68],"existing":[69],"results":[70,109],"such":[72],"configuration,":[74],"only":[75],"few":[77],"concern":[78],"multiple":[82],"delays.":[83],"Through":[84],"this":[85],"work,":[86],"we":[87,111],"propose":[88],"first":[90],"MID":[94],"second-order":[97],"controlled":[99],"two-delay":[102],"\u201dblock\u201d.":[103],"As":[104],"an":[105],"application":[106],"obtained,":[110],"consider":[112],"problem":[114],"stabilization":[116],"classical":[119],"pendulum":[120],"with":[121],"exclusive":[122],"access":[123],"position.":[127]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2023-11-11T00:00:00"}
