{"id":"https://openalex.org/W3113217772","doi":"https://doi.org/10.1177/0959651820975251","title":"A diffusive representation approach toward <i>H<sub>\u221e</sub></i> sliding mode control design for fractional-order Markovian jump systems","display_name":"A diffusive representation approach toward <i>H<sub>\u221e</sub></i> sliding mode control design for fractional-order Markovian jump systems","publication_year":2020,"publication_date":"2020-12-06","ids":{"openalex":"https://openalex.org/W3113217772","doi":"https://doi.org/10.1177/0959651820975251","mag":"3113217772"},"language":"en","primary_location":{"id":"doi:10.1177/0959651820975251","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651820975251","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","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/A5013239615","display_name":"Majid Parvizian","orcid":null},"institutions":[{"id":"https://openalex.org/I1516879","display_name":"Tarbiat Modares University","ror":"https://ror.org/03mwgfy56","country_code":"IR","type":"education","lineage":["https://openalex.org/I1516879"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Majid Parvizian","raw_affiliation_strings":["Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Intelligent Control Systems Laboratory, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, Iran","institution_ids":["https://openalex.org/I1516879"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070704969","display_name":"Khosro Khandani","orcid":"https://orcid.org/0000-0002-1762-3541"},"institutions":[{"id":"https://openalex.org/I35510649","display_name":"Arak University","ror":"https://ror.org/00ngrq502","country_code":"IR","type":"education","lineage":["https://openalex.org/I35510649"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Khosro Khandani","raw_affiliation_strings":["Department of Electrical Engineering, Faculty of Engineering, Arak University, Arak, Iran"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Faculty of Engineering, Arak University, Arak, Iran","institution_ids":["https://openalex.org/I35510649"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070704969"],"corresponding_institution_ids":["https://openalex.org/I35510649"],"apc_list":null,"apc_paid":null,"fwci":0.2942,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.57673629,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":96},"biblio":{"volume":"235","issue":"7","first_page":"1154","last_page":"1163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10046","display_name":"Stability and Control of Uncertain Systems","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/T10046","display_name":"Stability and Control of Uncertain Systems","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/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/control-theory","display_name":"Control theory (sociology)","score":0.6026945114135742},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6020307540893555},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5348047018051147},{"id":"https://openalex.org/keywords/reachability","display_name":"Reachability","score":0.527759850025177},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5184023380279541},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.48568591475486755},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.4792235493659973},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.46689853072166443},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.4631015956401825},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.4431668817996979},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.363860547542572},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24564161896705627},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.2372170090675354},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14179667830467224},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.08009082078933716},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.0716836154460907}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6026945114135742},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6020307540893555},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5348047018051147},{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.527759850025177},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5184023380279541},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.48568591475486755},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.4792235493659973},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.46689853072166443},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.4631015956401825},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.4431668817996979},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.363860547542572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24564161896705627},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.2372170090675354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14179667830467224},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.08009082078933716},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0716836154460907},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1177/0959651820975251","is_oa":false,"landing_page_url":"https://doi.org/10.1177/0959651820975251","pdf_url":null,"source":{"id":"https://openalex.org/S4210196624","display_name":"Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering","issn_l":"0959-6518","issn":["0959-6518","2041-3041"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320017","host_organization_name":"SAGE Publishing","host_organization_lineage":["https://openalex.org/P4310320017"],"host_organization_lineage_names":["SAGE Publishing"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4699999988079071,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1579485993","https://openalex.org/W1971410285","https://openalex.org/W2019424969","https://openalex.org/W2031278341","https://openalex.org/W2069516953","https://openalex.org/W2099017437","https://openalex.org/W2106620826","https://openalex.org/W2183204931","https://openalex.org/W2489122898","https://openalex.org/W2511753639","https://openalex.org/W2514932537","https://openalex.org/W2566623840","https://openalex.org/W2787959293","https://openalex.org/W2794066134","https://openalex.org/W2799902367","https://openalex.org/W2801192398","https://openalex.org/W2893929957","https://openalex.org/W2894291700","https://openalex.org/W2894764680","https://openalex.org/W2898725434","https://openalex.org/W2903190134","https://openalex.org/W2907381050","https://openalex.org/W2910294488","https://openalex.org/W2946605634","https://openalex.org/W2966878014","https://openalex.org/W2969287162","https://openalex.org/W2976421028","https://openalex.org/W2999028144","https://openalex.org/W3004007056","https://openalex.org/W3024372272","https://openalex.org/W3031960655","https://openalex.org/W3210839039"],"related_works":["https://openalex.org/W2136512912","https://openalex.org/W2127267268","https://openalex.org/W2156446763","https://openalex.org/W2067910792","https://openalex.org/W2150194458","https://openalex.org/W2143461633","https://openalex.org/W2889071233","https://openalex.org/W4321471459","https://openalex.org/W4221156924","https://openalex.org/W2380814829"],"abstract_inverted_index":{"This":[0],"article":[1],"proposes":[2],"a":[3,45,71,93,110],"new":[4,46],"[Formula:":[5,52,95],"see":[6,53,96],"text]":[7,54,97],"sliding":[8,55,72,90],"mode":[9,56],"control":[10,57],"strategy":[11],"for":[12,16,84],"stabilizing":[13],"controller":[14],"design":[15],"fractional-order":[17,31,38,60],"Markovian":[18,32,61],"jump":[19,33,62],"systems.":[20],"The":[21],"suggested":[22],"approach":[23],"is":[24,67],"based":[25],"on":[26],"the":[27,37,49,79,88,104],"diffusive":[28],"representation":[29],"of":[30,51,58,87],"systems":[34,63],"which":[35],"transforms":[36],"system":[39],"into":[40],"an":[41],"integer-order":[42],"one.":[43],"Using":[44],"Lyapunov\u2013Krasovskii":[47],"functional,":[48],"problem":[50],"uncertain":[59],"with":[64,92],"exogenous":[65],"noise":[66],"investigated.":[68],"We":[69],"propose":[70],"surface":[73],"and":[74],"prove":[75],"its":[76],"reachability.":[77],"Moreover,":[78],"linear":[80],"matrix":[81],"inequality":[82],"conditions":[83],"stochastic":[85],"stability":[86],"resultant":[89],"motion":[91],"given":[94],"disturbance":[98],"attenuation":[99],"level":[100],"are":[101,107],"derived.":[102],"Eventually,":[103],"theoretical":[105],"results":[106],"verified":[108],"through":[109],"simulation":[111],"example.":[112]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
