{"id":"https://openalex.org/W4400893820","doi":"https://doi.org/10.1080/00207179.2024.2378943","title":"Some new results about the stability radius of infinite-dimensional systems perturbed stochastically and deterministically","display_name":"Some new results about the stability radius of infinite-dimensional systems perturbed stochastically and deterministically","publication_year":2024,"publication_date":"2024-07-22","ids":{"openalex":"https://openalex.org/W4400893820","doi":"https://doi.org/10.1080/00207179.2024.2378943"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2024.2378943","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2024.2378943","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/A5068325250","display_name":"Maissa Kada","orcid":null},"institutions":[{"id":"https://openalex.org/I162489102","display_name":"University of Batna 1","ror":"https://ror.org/04hrbe508","country_code":"DZ","type":"education","lineage":["https://openalex.org/I162489102"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Maissa Kada","raw_affiliation_strings":["Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd)","Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd), Batna, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd)","institution_ids":["https://openalex.org/I162489102"]},{"raw_affiliation_string":"Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd), Batna, Algeria","institution_ids":["https://openalex.org/I162489102"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104944090","display_name":"Amira Kameche","orcid":null},"institutions":[{"id":"https://openalex.org/I162489102","display_name":"University of Batna 1","ror":"https://ror.org/04hrbe508","country_code":"DZ","type":"education","lineage":["https://openalex.org/I162489102"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Amira Kameche","raw_affiliation_strings":["Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd)","Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd), Batna, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd)","institution_ids":["https://openalex.org/I162489102"]},{"raw_affiliation_string":"Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd), Batna, Algeria","institution_ids":["https://openalex.org/I162489102"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104944091","display_name":"Amina Heddar","orcid":null},"institutions":[{"id":"https://openalex.org/I162489102","display_name":"University of Batna 1","ror":"https://ror.org/04hrbe508","country_code":"DZ","type":"education","lineage":["https://openalex.org/I162489102"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Amina Heddar","raw_affiliation_strings":["Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd)","Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd), Batna, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd)","institution_ids":["https://openalex.org/I162489102"]},{"raw_affiliation_string":"Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd), Batna, Algeria","institution_ids":["https://openalex.org/I162489102"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007422577","display_name":"Abdelaziz Mennouni","orcid":"https://orcid.org/0000-0002-0791-5866"},"institutions":[{"id":"https://openalex.org/I162489102","display_name":"University of Batna 1","ror":"https://ror.org/04hrbe508","country_code":"DZ","type":"education","lineage":["https://openalex.org/I162489102"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Abdelaziz Mennouni","raw_affiliation_strings":["Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd)","Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd), Batna, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd)","institution_ids":["https://openalex.org/I162489102"]},{"raw_affiliation_string":"Department of Mathematics, LTM, University of Batna 2 (Mostefa Ben Boula\u00efd), Batna, Algeria","institution_ids":["https://openalex.org/I162489102"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007422577"],"corresponding_institution_ids":["https://openalex.org/I162489102"],"apc_list":null,"apc_paid":null,"fwci":2.6083,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.89112514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"98","issue":"4","first_page":"944","last_page":"957"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9958999752998352,"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"}},"topics":[{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T11110","display_name":"Stability and Controllability of Differential Equations","score":0.9944999814033508,"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":0.9912999868392944,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6235586404800415},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5134707093238831},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.4898211658000946},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3701916038990021},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.35991936922073364},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.3577539920806885},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2829490303993225},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2760123312473297},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.10702213644981384}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6235586404800415},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5134707093238831},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.4898211658000946},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3701916038990021},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35991936922073364},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3577539920806885},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2829490303993225},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2760123312473297},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.10702213644981384},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2024.2378943","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2024.2378943","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W591031131","https://openalex.org/W1990525542","https://openalex.org/W2013058875","https://openalex.org/W2033833883","https://openalex.org/W2048187422","https://openalex.org/W2063388582","https://openalex.org/W2256876301","https://openalex.org/W2786300833","https://openalex.org/W2947471249","https://openalex.org/W2985838733","https://openalex.org/W3194318004","https://openalex.org/W3212666811","https://openalex.org/W4230625565","https://openalex.org/W4248729779","https://openalex.org/W4252375109","https://openalex.org/W4293244147","https://openalex.org/W4300475775","https://openalex.org/W4315472581"],"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/W2979526210","https://openalex.org/W1997414638","https://openalex.org/W2031091109","https://openalex.org/W2049254832"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"two":[3],"significant":[4],"contributions:":[5],"First,":[6],"we":[7,51,76],"examine":[8],"linear":[9],"infinite-dimensional":[10,86],"systems":[11],"perturbed":[12],"in":[13,71],"deterministic":[14],"and":[15],"stochastic":[16],"ways.":[17],"The":[18,42],"stability":[19,63,93],"radius":[20,64],"method":[21],"is":[22,40,69],"used":[23],"to":[24],"solve":[25],"the":[26,31,37,53,59,62,66,72,78,90],"robust":[27,54],"stability.":[28],"Bounds":[29],"on":[30],"perturbations":[32],"are":[33,44],"obtained,":[34],"guaranteeing":[35],"that":[36],"troubled":[38],"system":[39],"stable.":[41],"outcomes":[43],"determined":[45],"via":[46],"a":[47],"Lyapunov":[48],"equation.":[49],"Secondly,":[50],"study":[52],"stabilisation":[55],"problem.":[56],"We":[57],"investigate":[58],"maximisation":[60],"of":[61],"when":[65],"input":[67],"operator":[68],"unbounded":[70],"general":[73],"case.":[74],"Also,":[75],"establish":[77],"conditions":[79],"under":[80],"which":[81],"suboptimal":[82],"controllers":[83],"exist.":[84],"An":[85],"Riccati":[87],"equation":[88],"describes":[89],"supreme":[91],"achievable":[92],"radius.":[94]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-10-10T00:00:00"}
