{"id":"https://openalex.org/W7204534539","doi":"https://doi.org/10.1016/b978-0-44-345038-9.00013-9","title":"Stability analysis of fractional variable-order discrete-time systems","display_name":"Stability analysis of fractional variable-order discrete-time systems","publication_year":2026,"publication_date":"2026-08-28","ids":{"openalex":"https://openalex.org/W7204534539","doi":"https://doi.org/10.1016/b978-0-44-345038-9.00013-9"},"language":"en","primary_location":{"id":"doi:10.1016/b978-0-44-345038-9.00013-9","doi":"https://doi.org/10.1016/b978-0-44-345038-9.00013-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-0-44-345038-9.00013-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Dynamics and Control of Fractional Discrete Time Systems","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W7204558377","display_name":"Advances in Dynamics and Control of Fractional Discrete Time Systems"},"type":"book-chapter","is_traditional":true,"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/A5025265960","display_name":"Noureddine Djenina","orcid":"https://orcid.org/0000-0003-3492-1249","observed_orcids":["https://orcid.org/0000-0003-3492-1249","https://orcid.org/0009-0003-1086-9930"]},"institutions":[{"id":"https://openalex.org/I4387153399","display_name":"University of Batna 2","ror":"https://ror.org/02yvp6477","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4387153399"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Noureddine Djenina","raw_affiliation_strings":["Institute of Hygiene and Safety, University of Mustapha Ben Boulaid Batna 2, Batna, Algeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Hygiene and Safety, University of Mustapha Ben Boulaid Batna 2, Batna, Algeria","institution_ids":["https://openalex.org/I4387153399"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027644473","display_name":"Adel Ouannas","orcid":"https://orcid.org/0000-0001-9611-2047","observed_orcids":["https://orcid.org/0000-0001-9611-2047","https://orcid.org/0000-0002-0298-1194"]},"institutions":[{"id":"https://openalex.org/I3132180716","display_name":"Larbi Ben M'hidi University of Oum El Bouaghi","ror":"https://ror.org/0034tbg85","country_code":"DZ","type":"education","lineage":["https://openalex.org/I3132180716"]},{"id":"https://openalex.org/I4210151290","display_name":"Islamic University of Madinah","ror":"https://ror.org/03rcp1y74","country_code":"SA","type":"education","lineage":["https://openalex.org/I4210151290"]}],"countries":["DZ","SA"],"is_corresponding":false,"raw_author_name":"Adel Ouannas","raw_affiliation_strings":["Department of Mathematics and Computer Science, Larbi Ben M'hidi University, Oum El Bouaghi, Algeria","Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Larbi Ben M'hidi University, Oum El Bouaghi, Algeria","institution_ids":["https://openalex.org/I3132180716"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia","institution_ids":["https://openalex.org/I4210151290"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"163","last_page":"185"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11081","display_name":"Advanced Control Systems Design","score":0.9326000213623047,"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":0.9326000213623047,"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":0.054499998688697815,"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/T10541","display_name":"Nonlinear Differential Equations Analysis","score":0.005900000222027302,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/discrete-time-systems","display_name":"discrete-time systems","score":0.953000009059906},{"id":"https://openalex.org/keywords/stability-criteria","display_name":"stability criteria","score":0.8339999914169312},{"id":"https://openalex.org/keywords/z-transform","display_name":"z-transform","score":0.9049999713897705},{"id":"https://openalex.org/keywords/fractional-order-dynamics","display_name":"fractional dynamics","score":0.781000018119812},{"id":"https://openalex.org/keywords/fractional-order-control","display_name":"fractional-order control","score":0.4690000116825104}],"concepts":[{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.8026000261306763},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.535099983215332},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.4603999853134155},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45249998569488525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4153999984264374},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.37130001187324524},{"id":"https://openalex.org/C143170015","wikidata":"https://www.wikidata.org/wiki/Q17007850","display_name":"Stability conditions","level":3,"score":0.36910000443458557},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35519999265670776},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.3377000093460083},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3336000144481659},{"id":"https://openalex.org/C76969082","wikidata":"https://www.wikidata.org/wiki/Q486902","display_name":"Mathematical model","level":2,"score":0.30559998750686646},{"id":"https://openalex.org/C154249771","wikidata":"https://www.wikidata.org/wiki/Q1339058","display_name":"Fractional calculus","level":2,"score":0.30379998683929443},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.28690001368522644},{"id":"https://openalex.org/C176321772","wikidata":"https://www.wikidata.org/wiki/Q1430640","display_name":"Numerical stability","level":3,"score":0.267300009727478},{"id":"https://openalex.org/C2779843651","wikidata":"https://www.wikidata.org/wiki/Q7390335","display_name":"SIGNAL (programming language)","level":2,"score":0.2662999927997589},{"id":"https://openalex.org/C17500928","wikidata":"https://www.wikidata.org/wiki/Q959968","display_name":"Control system","level":2,"score":0.25690001249313354},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.25290000438690186}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/b978-0-44-345038-9.00013-9","doi":"https://doi.org/10.1016/b978-0-44-345038-9.00013-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/b978-0-44-345038-9.00013-9","pdf_url":null,"source":{"id":"https://openalex.org/S4306463230","display_name":"Elsevier eBooks","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"ebook platform"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Dynamics and Control of Fractional Discrete Time Systems","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":123,"referenced_works":["https://openalex.org/W807515142","https://openalex.org/W1908664704","https://openalex.org/W1990990035","https://openalex.org/W1994115058","https://openalex.org/W2088303893","https://openalex.org/W2274596104","https://openalex.org/W2411043875","https://openalex.org/W2495165290","https://openalex.org/W2511242712","https://openalex.org/W2577305827","https://openalex.org/W2590196486","https://openalex.org/W2623930225","https://openalex.org/W2767717692","https://openalex.org/W2800167209","https://openalex.org/W2883960285","https://openalex.org/W2888893773","https://openalex.org/W2889823359","https://openalex.org/W2889881165","https://openalex.org/W2890658529","https://openalex.org/W2892457839","https://openalex.org/W2904125316","https://openalex.org/W2905113890","https://openalex.org/W2912385041","https://openalex.org/W2915398395","https://openalex.org/W2922403648","https://openalex.org/W2923223771","https://openalex.org/W2930398221","https://openalex.org/W2932777356","https://openalex.org/W2945029848","https://openalex.org/W2946911774","https://openalex.org/W2954522472","https://openalex.org/W2977209716","https://openalex.org/W2999899931","https://openalex.org/W3013342027","https://openalex.org/W3014639127","https://openalex.org/W3015780933","https://openalex.org/W3021086917","https://openalex.org/W3021550721","https://openalex.org/W3024763774","https://openalex.org/W3030637055","https://openalex.org/W3034099877","https://openalex.org/W3080492959","https://openalex.org/W3089285989","https://openalex.org/W3092011670","https://openalex.org/W3092470496","https://openalex.org/W3093078194","https://openalex.org/W3095214280","https://openalex.org/W3095875068","https://openalex.org/W3103642871","https://openalex.org/W3109159933","https://openalex.org/W3111787112","https://openalex.org/W3118752909","https://openalex.org/W3165156628","https://openalex.org/W3168928645","https://openalex.org/W3169638822","https://openalex.org/W3174477285","https://openalex.org/W3181152850","https://openalex.org/W3183095410","https://openalex.org/W3209680301","https://openalex.org/W3213506382","https://openalex.org/W4210382181","https://openalex.org/W4210425277","https://openalex.org/W4210666921","https://openalex.org/W4210932665","https://openalex.org/W4213146444","https://openalex.org/W4213416137","https://openalex.org/W4220943556","https://openalex.org/W4226158921","https://openalex.org/W4283580680","https://openalex.org/W4284974469","https://openalex.org/W4291493428","https://openalex.org/W4291717616","https://openalex.org/W4292962223","https://openalex.org/W4293090900","https://openalex.org/W4294845578","https://openalex.org/W4297236549","https://openalex.org/W4303946440","https://openalex.org/W4309348246","https://openalex.org/W4309821992","https://openalex.org/W4310034915","https://openalex.org/W4313528227","https://openalex.org/W4313583190","https://openalex.org/W4317743338","https://openalex.org/W4318208685","https://openalex.org/W4318214870","https://openalex.org/W4365816379","https://openalex.org/W4376870739","https://openalex.org/W4378377574","https://openalex.org/W4379793314","https://openalex.org/W4380875019","https://openalex.org/W4381618516","https://openalex.org/W4383068603","https://openalex.org/W4384934702","https://openalex.org/W4384935578","https://openalex.org/W4385368219","https://openalex.org/W4385423788","https://openalex.org/W4385732675","https://openalex.org/W4386074059","https://openalex.org/W4386351980","https://openalex.org/W4387251867","https://openalex.org/W4387264808","https://openalex.org/W4387373185","https://openalex.org/W4387450521","https://openalex.org/W4387667593","https://openalex.org/W4387743830","https://openalex.org/W4388830739","https://openalex.org/W4388945375","https://openalex.org/W4392727936","https://openalex.org/W4394688174","https://openalex.org/W4399124780","https://openalex.org/W4400248198","https://openalex.org/W4400280166","https://openalex.org/W4401444490","https://openalex.org/W4401756577","https://openalex.org/W4401947510","https://openalex.org/W4401947739","https://openalex.org/W4403106871","https://openalex.org/W4403939500","https://openalex.org/W4405968483","https://openalex.org/W4406330516","https://openalex.org/W4406599502","https://openalex.org/W4406608682","https://openalex.org/W4407972872"],"related_works":["https://openalex.org/W7160768942","https://openalex.org/W7126201980","https://openalex.org/W2897815115","https://openalex.org/W114976905","https://openalex.org/W2966070630","https://openalex.org/W7204528516","https://openalex.org/W7164740440","https://openalex.org/W3092011670","https://openalex.org/W2020311721","https://openalex.org/W1580284293"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2026-08-29T00:00:00"}
