{"id":"https://openalex.org/W2975721658","doi":"https://doi.org/10.1109/access.2019.2943481","title":"Robust Control and Stability Bound Analysis for a Class of LTI Fractional Order Uncertain Systems With 0 &lt; $\\alpha$ &lt; 1","display_name":"Robust Control and Stability Bound Analysis for a Class of LTI Fractional Order Uncertain Systems With 0 &lt; $\\alpha$ &lt; 1","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2975721658","doi":"https://doi.org/10.1109/access.2019.2943481","mag":"2975721658"},"language":"en","primary_location":{"id":"doi:10.1109/access.2019.2943481","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2943481","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08847309.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08847309.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009239660","display_name":"Sulan Li","orcid":"https://orcid.org/0000-0002-5156-6421"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Sulan Li","raw_affiliation_strings":["Shaanxi Key Laboratory of Space Solar Power Station System, Xidian University, Xi\u2019an, China","Shaanxi Key Laboratory of Space Solar Power Station System, Xidian University, Xi'an, China"],"raw_orcid":"https://orcid.org/0000-0002-5156-6421","affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Space Solar Power Station System, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Space Solar Power Station System, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083519968","display_name":"Yunru Zhu","orcid":"https://orcid.org/0000-0003-3395-2289"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunru Zhu","raw_affiliation_strings":["Center for Complex Systems, School of Mechano-electronic Engineering, Xidian University, Xi\u2019an, China","Center for Complex Systems, School of Mechano-electronic Engineering, Xidian University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Complex Systems, School of Mechano-electronic Engineering, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Center for Complex Systems, School of Mechano-electronic Engineering, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089779425","display_name":"Jianwei Mi","orcid":"https://orcid.org/0000-0001-6054-9327"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianwei Mi","raw_affiliation_strings":["Shaanxi Key Laboratory of Space Solar Power Station System, Xidian University, Xi\u2019an, China","Shaanxi Key Laboratory of Space Solar Power Station System, Xidian University, Xi'an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shaanxi Key Laboratory of Space Solar Power Station System, Xidian University, Xi\u2019an, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"Shaanxi Key Laboratory of Space Solar Power Station System, Xidian University, Xi'an, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009239660"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.11497765,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"7","issue":null,"first_page":"140723","last_page":"140733"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9973000288009644,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.9919000267982483,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6683323383331299},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.636761486530304},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.628263533115387},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6093379855155945},{"id":"https://openalex.org/keywords/robust-control","display_name":"Robust control","score":0.596782922744751},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5512868762016296},{"id":"https://openalex.org/keywords/linear-matrix-inequality","display_name":"Linear matrix inequality","score":0.548609733581543},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.4816245436668396},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.4679412245750427},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.44718044996261597},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4247545003890991},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39683103561401367},{"id":"https://openalex.org/keywords/control-system","display_name":"Control system","score":0.3690829873085022},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.24661996960639954},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.23993095755577087},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22332161664962769},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13031598925590515},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05799752473831177}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6683323383331299},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.636761486530304},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.628263533115387},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6093379855155945},{"id":"https://openalex.org/C31531917","wikidata":"https://www.wikidata.org/wiki/Q915157","display_name":"Robust control","level":3,"score":0.596782922744751},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5512868762016296},{"id":"https://openalex.org/C201829737","wikidata":"https://www.wikidata.org/wiki/Q2022760","display_name":"Linear matrix inequality","level":2,"score":0.548609733581543},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.4816245436668396},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.4679412245750427},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.44718044996261597},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4247545003890991},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39683103561401367},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.3690829873085022},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.24661996960639954},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.23993095755577087},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22332161664962769},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13031598925590515},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05799752473831177},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2019.2943481","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2943481","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08847309.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:79a22c1cdd5f4726a923d6908fec7a1d","is_oa":true,"landing_page_url":"https://doaj.org/article/79a22c1cdd5f4726a923d6908fec7a1d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 7, Pp 140723-140733 (2019)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2019.2943481","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2019.2943481","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8600701/08847309.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5751079639","display_name":null,"funder_award_id":"2015CB857100","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2975721658.pdf","grobid_xml":"https://content.openalex.org/works/W2975721658.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W56786142","https://openalex.org/W1734093257","https://openalex.org/W1967091907","https://openalex.org/W1980407022","https://openalex.org/W1990830194","https://openalex.org/W2002857654","https://openalex.org/W2011020907","https://openalex.org/W2036442409","https://openalex.org/W2049570254","https://openalex.org/W2056258420","https://openalex.org/W2071913488","https://openalex.org/W2088614761","https://openalex.org/W2138711734","https://openalex.org/W2166486522","https://openalex.org/W2294239831","https://openalex.org/W2339874084","https://openalex.org/W2498772130","https://openalex.org/W2575138818","https://openalex.org/W2582995068","https://openalex.org/W2610220040","https://openalex.org/W2625766156","https://openalex.org/W2701982447","https://openalex.org/W2734787754","https://openalex.org/W2750473511","https://openalex.org/W2765687571","https://openalex.org/W2773687104","https://openalex.org/W2791398358","https://openalex.org/W2801192398","https://openalex.org/W2876571986","https://openalex.org/W2888380867","https://openalex.org/W2898962592","https://openalex.org/W2901737003","https://openalex.org/W2911223444","https://openalex.org/W4253127961","https://openalex.org/W6637736431"],"related_works":["https://openalex.org/W1505013685","https://openalex.org/W2128392505","https://openalex.org/W2092752917","https://openalex.org/W2170907146","https://openalex.org/W2120986450","https://openalex.org/W2534056107","https://openalex.org/W1486578725","https://openalex.org/W2056209398","https://openalex.org/W4289927983","https://openalex.org/W2104528496"],"abstract_inverted_index":{"This":[0],"paper":[1],"concentrates":[2],"on":[3],"the":[4,14,47,53,63,93,96],"robust":[5,39],"control":[6],"and":[7,25,42,62],"maximal":[8,54],"bound":[9,56],"analysis":[10,41],"of":[11,49,57,77,95],"uncertainty":[12,55],"for":[13,82],"LTI":[15],"fractional":[16],"order":[17],"system":[18,59],"(FOS),":[19],"which":[20],"is":[21,60,70,99],"subjected":[22],"to":[23,51],"poly-topic":[24],"H-infinity":[26],"bounded":[27],"uncertainties":[28],"with":[29],"0":[30],"<;":[31,33],"\u03b1":[32],"1.":[34],"Firstly,":[35],"two":[36,102],"problems":[37,84],"including":[38],"stability":[40],"stabilization":[43],"are":[44,87],"investigated.":[45],"Subsequently,":[46],"method":[48],"how":[50],"determine":[52],"such":[58],"discussed,":[61],"corresponding":[64],"linear":[65,78],"state":[66],"feedback":[67],"stabilizing":[68],"controller":[69],"obtained":[71],"together.":[72],"The":[73],"conditions":[74],"in":[75],"terms":[76],"matrix":[79],"inequalities":[80],"(LMI)":[81],"these":[83],"mentioned":[85],"above":[86],"concluded":[88],"as":[89],"four":[90],"theorems.":[91],"Finally,":[92],"advantage":[94],"proposed":[97],"methods":[98],"illustrated":[100],"by":[101],"numerical":[103],"examples.":[104]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2019-10-03T00:00:00"}