{"id":"https://openalex.org/W3205656988","doi":"https://doi.org/10.1109/tcsii.2021.3119656","title":"Maximal Perturbation Bounds for the Robust Stability of Fractional-Order Linear Time-Invariant Parameter-Dependent Systems","display_name":"Maximal Perturbation Bounds for the Robust Stability of Fractional-Order Linear Time-Invariant Parameter-Dependent Systems","publication_year":2021,"publication_date":"2021-10-14","ids":{"openalex":"https://openalex.org/W3205656988","doi":"https://doi.org/10.1109/tcsii.2021.3119656","mag":"3205656988"},"language":"en","primary_location":{"id":"doi:10.1109/tcsii.2021.3119656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3119656","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","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/A5075241161","display_name":"Ruo-Nan Qian","orcid":null},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ruo-Nan Qian","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China","Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, China","institution_ids":["https://openalex.org/I1327237609"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007452056","display_name":"Jun\u2010Guo Lu","orcid":"https://orcid.org/0000-0002-5012-5624"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun-Guo Lu","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China","Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, China","institution_ids":["https://openalex.org/I1327237609"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080614154","display_name":"Qing\u2010Hao Zhang","orcid":"https://orcid.org/0000-0001-6425-9693"},"institutions":[{"id":"https://openalex.org/I1327237609","display_name":"Ministry of Education of the People's Republic of China","ror":"https://ror.org/01mv9t934","country_code":"CN","type":"government","lineage":["https://openalex.org/I1327237609","https://openalex.org/I4210127390"]},{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qing-Hao Zhang","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China","Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"Key Laboratory of System Control and Information Processing, Ministry of Education of China, Shanghai, China","institution_ids":["https://openalex.org/I1327237609"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5075241161"],"corresponding_institution_ids":["https://openalex.org/I1327237609","https://openalex.org/I183067930"],"apc_list":null,"apc_paid":null,"fwci":0.4149,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6190559,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"69","issue":"3","first_page":"1257","last_page":"1261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9995999932289124,"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/T11081","display_name":"Advanced Control Systems Design","score":0.9995999932289124,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9980000257492065,"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/kronecker-delta","display_name":"Kronecker delta","score":0.7333013415336609},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.6770462393760681},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6644127368927002},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5499144196510315},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.5029012560844421},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.44156602025032043},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.4181619882583618},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3652689456939697},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2688567042350769},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.088828444480896},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.07962417602539062}],"concepts":[{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.7333013415336609},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.6770462393760681},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6644127368927002},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5499144196510315},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.5029012560844421},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.44156602025032043},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.4181619882583618},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3652689456939697},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2688567042350769},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.088828444480896},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.07962417602539062},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcsii.2021.3119656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcsii.2021.3119656","pdf_url":null,"source":{"id":"https://openalex.org/S93916849","display_name":"IEEE Transactions on Circuits & Systems II Express Briefs","issn_l":"1549-7747","issn":["1549-7747","1558-3791"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Circuits and Systems II: Express Briefs","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3450276110","display_name":null,"funder_award_id":"61374030","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7937147596","display_name":null,"funder_award_id":"61533012","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8375903540","display_name":null,"funder_award_id":"62073217","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W56786142","https://openalex.org/W1966001945","https://openalex.org/W1967091907","https://openalex.org/W1970761971","https://openalex.org/W2004447072","https://openalex.org/W2024217322","https://openalex.org/W2035782269","https://openalex.org/W2065313971","https://openalex.org/W2085839144","https://openalex.org/W2095590702","https://openalex.org/W2097674350","https://openalex.org/W2189791719","https://openalex.org/W2343743814","https://openalex.org/W2481180091","https://openalex.org/W2765687571","https://openalex.org/W2922524545","https://openalex.org/W2947428528","https://openalex.org/W2958709125","https://openalex.org/W2964885366","https://openalex.org/W2999853828","https://openalex.org/W3003537242","https://openalex.org/W3006416751","https://openalex.org/W3009343000","https://openalex.org/W3021400558","https://openalex.org/W3091813135","https://openalex.org/W3113439176","https://openalex.org/W3126996147","https://openalex.org/W3134650622","https://openalex.org/W4229706427","https://openalex.org/W6602327797","https://openalex.org/W6687173325","https://openalex.org/W6722016195"],"related_works":["https://openalex.org/W2053005959","https://openalex.org/W2144143333","https://openalex.org/W2299538996","https://openalex.org/W4386631510","https://openalex.org/W2027136373","https://openalex.org/W2276636510","https://openalex.org/W1990421243","https://openalex.org/W2105658174","https://openalex.org/W776139355","https://openalex.org/W3007064390"],"abstract_inverted_index":{"This":[0],"brief":[1,81],"investigates":[2],"the":[3,14,33,42,48,52,55,62,65,76],"maximal":[4,34],"perturbation":[5,35],"bounds":[6,36],"of":[7,37],"fractional-order":[8],"linear":[9],"time-invariant":[10],"parameter-dependent":[11,39],"systems":[12,40],"with":[13,41,54,64],"commensurate":[15],"order":[16],"<inline-formula":[17],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[18],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[19],"<tex-math":[20],"notation=\"LaTeX\">$\\alpha":[21],"\\in":[22],"(0,1)$":[23],"</tex-math></inline-formula>":[24],".":[25],"Firstly,":[26],"new":[27],"sufficient":[28],"and":[29],"necessary":[30],"conditions":[31],"for":[32],"such":[38],"single":[43,56],"parameter":[44,57],"are":[45,59,71,82],"given":[46],"using":[47],"Kronecker":[49],"sum.":[50],"Secondly,":[51],"results":[53],"case":[58],"extended":[60],"to":[61,73],"cases":[63],"multiple":[66],"parameters.":[67],"Ultimately":[68],"numerical":[69],"examples":[70],"presented":[72],"verify":[74],"that":[75],"proposed":[77],"methods":[78],"in":[79],"this":[80],"valid.":[83]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}