{"id":"https://openalex.org/W7134035990","doi":"https://doi.org/10.1080/00207179.2026.2616085","title":"Independence of estimation of domain of attraction from perturbation parameters in the nonlinear multiple time scale systems","display_name":"Independence of estimation of domain of attraction from perturbation parameters in the nonlinear multiple time scale systems","publication_year":2026,"publication_date":"2026-02-26","ids":{"openalex":"https://openalex.org/W7134035990","doi":"https://doi.org/10.1080/00207179.2026.2616085"},"language":"en","primary_location":{"id":"doi:10.1080/00207179.2026.2616085","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2026.2616085","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/A5053177048","display_name":"Hamid Khedmati","orcid":"https://orcid.org/0000-0003-1699-7768"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Hamid Khedmati","raw_affiliation_strings":["University of Tehran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Tehran","institution_ids":["https://openalex.org/I23946033"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086648677","display_name":"Mohammad Javad Yazdanpanah","orcid":"https://orcid.org/0000-0001-7098-8331"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Javad Yazdanpanah","raw_affiliation_strings":["University of Tehran"],"raw_orcid":"https://orcid.org/0000-0001-7098-8331","affiliations":[{"raw_affiliation_string":"University of Tehran","institution_ids":["https://openalex.org/I23946033"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061116322","display_name":"Roya Amjadifard","orcid":"https://orcid.org/0000-0002-4409-7778"},"institutions":[{"id":"https://openalex.org/I181744264","display_name":"Kharazmi University","ror":"https://ror.org/05hsgex59","country_code":"IR","type":"education","lineage":["https://openalex.org/I181744264"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Roya Amjadifard","raw_affiliation_strings":["Kharazmi University"],"raw_orcid":"https://orcid.org/0000-0002-4409-7778","affiliations":[{"raw_affiliation_string":"Kharazmi University","institution_ids":["https://openalex.org/I181744264"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5053177048"],"corresponding_institution_ids":["https://openalex.org/I23946033"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.2232743,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"99","issue":"6","first_page":"1811","last_page":"1827"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11236","display_name":"Control Systems and Identification","score":0.19419999420642853,"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/T11236","display_name":"Control Systems and Identification","score":0.19419999420642853,"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/T12435","display_name":"Bladed Disk Vibration Dynamics","score":0.10790000110864639,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T10244","display_name":"Chaos control and synchronization","score":0.1023000031709671,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6656000018119812},{"id":"https://openalex.org/keywords/attraction","display_name":"Attraction","score":0.5983999967575073},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.5889999866485596},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.5160999894142151},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.48190000653266907},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4607999920845032},{"id":"https://openalex.org/keywords/independence","display_name":"Independence (probability theory)","score":0.438400000333786}],"concepts":[{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6656000018119812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6207000017166138},{"id":"https://openalex.org/C2778364177","wikidata":"https://www.wikidata.org/wiki/Q2247133","display_name":"Attraction","level":2,"score":0.5983999967575073},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.5889999866485596},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.5160999894142151},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.48190000653266907},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4607999920845032},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4426000118255615},{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.438400000333786},{"id":"https://openalex.org/C103824480","wikidata":"https://www.wikidata.org/wiki/Q185889","display_name":"Time domain","level":2,"score":0.36910000443458557},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.3490000069141388},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3215000033378601},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.3206000030040741},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.3086000084877014},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.3019999861717224},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2890999913215637},{"id":"https://openalex.org/C174256460","wikidata":"https://www.wikidata.org/wiki/Q911364","display_name":"Perturbation theory (quantum mechanics)","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2822999954223633},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2660999894142151},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2574999928474426}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207179.2026.2616085","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207179.2026.2616085","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":[{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.805338442325592}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W626483778","https://openalex.org/W1003609772","https://openalex.org/W1977661165","https://openalex.org/W1979651191","https://openalex.org/W2012597247","https://openalex.org/W2042961277","https://openalex.org/W2046380711","https://openalex.org/W2144355672","https://openalex.org/W2490900388","https://openalex.org/W2510928024","https://openalex.org/W2570635453","https://openalex.org/W2896663787","https://openalex.org/W2914585239","https://openalex.org/W2963432984","https://openalex.org/W3005637461","https://openalex.org/W3091620045","https://openalex.org/W3099944049","https://openalex.org/W3203992953","https://openalex.org/W3214341358","https://openalex.org/W3217778148","https://openalex.org/W4234844164","https://openalex.org/W4236304509","https://openalex.org/W4383502860","https://openalex.org/W4400934932"],"related_works":[],"abstract_inverted_index":{"Our":[0],"research":[1],"presents":[2],"a":[3,11,47,61,69],"method":[4,85],"for":[5,52,105],"stabilising":[6,106],"nonlinear":[7,15,21,73,107],"multiple-time-scale":[8,74,108],"systems.":[9,56],"First,":[10],"generic":[12],"class":[13,71],"of":[14,72,82,89,92,96,130],"non-affine":[16],"systems":[17,109,115],"is":[18,42,59,64,77],"addressed,":[19],"where":[20],"H-infinity":[22],"controllers":[23],"are":[24,35,94,110],"replaced":[25],"in":[26],"the":[27,38,80,83,87,90,97,127],"subsystems,":[28],"and":[29,31,86,116],"global":[30],"local":[32],"network-small-gain":[33],"theorems":[34],"proposed.":[36],"Next,":[37],"controller":[39],"design":[40],"approach":[41],"presented":[43],"with":[44],"details.":[45],"Previously,":[46],"similar":[48],"strategy":[49],"was":[50],"used":[51],"singularly":[53],"perturbed":[54],"(two-time-scale)":[55],"If":[57],"linearisation":[58],"applicable,":[60],"new":[62],"theorem":[63],"introduced.":[65],"Following":[66],"that,":[67],"using":[68],"general":[70],"systems,":[75],"it":[76],"demonstrated":[78],"that":[79],"application":[81],"suggested":[84],"estimation":[88],"domain":[91,129],"attraction":[93],"independent":[95],"perturbation":[98,118],"parameters\u2019":[99],"positive":[100],"values.":[101],"While":[102],"previous":[103],"techniques":[104],"often":[111],"limited":[112],"to":[113,120],"two-time-scale":[114],"restrict":[117],"parameters":[119],"conservative":[121],"ranges,":[122],"altering":[123],"these":[124],"ranges":[125],"distorts":[126],"estimated":[128],"attraction.":[131]},"counts_by_year":[],"updated_date":"2026-06-14T06:11:07.267592","created_date":"2026-03-07T00:00:00"}