{"id":"https://openalex.org/W4392153561","doi":"https://doi.org/10.1093/imamci/dnae005","title":"Probability of stability calculation of MIMOn cascade non-linear systems with random parameters","display_name":"Probability of stability calculation of MIMOn cascade non-linear systems with random parameters","publication_year":2024,"publication_date":"2024-02-26","ids":{"openalex":"https://openalex.org/W4392153561","doi":"https://doi.org/10.1093/imamci/dnae005"},"language":"en","primary_location":{"id":"doi:10.1093/imamci/dnae005","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1093/imamci/dnae005","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","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/A5103069596","display_name":"Bojana M. Zlatkovic","orcid":null},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Bojana M Zlatkovic","raw_affiliation_strings":["University of Nis The Faculty of Occupational Safety in Nis, , Carnojevica 10a, 18000 Nis, Serbia"],"affiliations":[{"raw_affiliation_string":"University of Nis The Faculty of Occupational Safety in Nis, , Carnojevica 10a, 18000 Nis, Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064362690","display_name":"Biljana Samard\u017ei\u0107","orcid":"https://orcid.org/0000-0001-7170-5129"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Biljana Samardzic","raw_affiliation_strings":["University of Nis The Faculty of Science and Mathematics in Nis, , Visegradska 33, 18000 Nis, Serbia"],"affiliations":[{"raw_affiliation_string":"University of Nis The Faculty of Science and Mathematics in Nis, , Visegradska 33, 18000 Nis, Serbia","institution_ids":["https://openalex.org/I152518017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103069596"],"corresponding_institution_ids":["https://openalex.org/I152518017"],"apc_list":{"value":2582,"currency":"GBP","value_usd":3167},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02372474,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"2","first_page":"165","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9987000226974487,"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"}},{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9947999715805054,"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/cascade","display_name":"Cascade","score":0.7618066072463989},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.6633844971656799},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4997880458831787},{"id":"https://openalex.org/keywords/matlab","display_name":"MATLAB","score":0.4967067837715149},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4804820120334625},{"id":"https://openalex.org/keywords/bifurcation-diagram","display_name":"Bifurcation diagram","score":0.4781126379966736},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.46507641673088074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4454866647720337},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.44042038917541504},{"id":"https://openalex.org/keywords/phase-portrait","display_name":"Phase portrait","score":0.4372008442878723},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4310377538204193},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3783727288246155},{"id":"https://openalex.org/keywords/bifurcation","display_name":"Bifurcation","score":0.3257540464401245},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08733439445495605},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0655873715877533},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05945214629173279}],"concepts":[{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.7618066072463989},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.6633844971656799},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4997880458831787},{"id":"https://openalex.org/C2780365114","wikidata":"https://www.wikidata.org/wiki/Q169478","display_name":"MATLAB","level":2,"score":0.4967067837715149},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4804820120334625},{"id":"https://openalex.org/C86243350","wikidata":"https://www.wikidata.org/wiki/Q2595915","display_name":"Bifurcation diagram","level":4,"score":0.4781126379966736},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.46507641673088074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4454866647720337},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.44042038917541504},{"id":"https://openalex.org/C122283620","wikidata":"https://www.wikidata.org/wiki/Q2532943","display_name":"Phase portrait","level":4,"score":0.4372008442878723},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4310377538204193},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3783727288246155},{"id":"https://openalex.org/C2781349735","wikidata":"https://www.wikidata.org/wiki/Q4904824","display_name":"Bifurcation","level":3,"score":0.3257540464401245},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08733439445495605},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0655873715877533},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05945214629173279},{"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/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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:10.1093/imamci/dnae005","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1093/imamci/dnae005","pdf_url":null,"source":{"id":"https://openalex.org/S162756791","display_name":"IMA Journal of Mathematical Control and Information","issn_l":"0265-0754","issn":["0265-0754","1471-6887"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IMA Journal of Mathematical Control and Information","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6547932065","display_name":null,"funder_award_id":"451-03-47/2023-01/200124","funder_id":"https://openalex.org/F4320322729","funder_display_name":"Ministarstvo Prosvete, Nauke i Tehnolo\u0161kog Razvoja"}],"funders":[{"id":"https://openalex.org/F4320322729","display_name":"Ministarstvo Prosvete, Nauke i Tehnolo\u0161kog Razvoja","ror":"https://ror.org/01znas443"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W98176786","https://openalex.org/W602699301","https://openalex.org/W1493745406","https://openalex.org/W1967970461","https://openalex.org/W1992209164","https://openalex.org/W2006464603","https://openalex.org/W2016446935","https://openalex.org/W2031668778","https://openalex.org/W2051318676","https://openalex.org/W2057319997","https://openalex.org/W2066522983","https://openalex.org/W2082183308","https://openalex.org/W2098127225","https://openalex.org/W2293007794","https://openalex.org/W2531894595","https://openalex.org/W2562829112","https://openalex.org/W2760988025","https://openalex.org/W2770551065","https://openalex.org/W2782258878","https://openalex.org/W2886240819","https://openalex.org/W2889049919","https://openalex.org/W2925635767","https://openalex.org/W2962927957","https://openalex.org/W2980532762","https://openalex.org/W2990284936","https://openalex.org/W3154735475","https://openalex.org/W4240198037","https://openalex.org/W4252639814","https://openalex.org/W6604009162","https://openalex.org/W6648450392","https://openalex.org/W6663309941","https://openalex.org/W6664923076","https://openalex.org/W6745865872","https://openalex.org/W6770568387","https://openalex.org/W6794341914"],"related_works":["https://openalex.org/W2978842908","https://openalex.org/W4386041468","https://openalex.org/W2391540797","https://openalex.org/W1908764089","https://openalex.org/W4206623065","https://openalex.org/W3138933321","https://openalex.org/W2005355485","https://openalex.org/W1570727143","https://openalex.org/W3107946728","https://openalex.org/W2093909018"],"abstract_inverted_index":{"Abstract":[0],"The":[1,105],"stability":[2,28,100,111],"problem":[3],"of":[4,27,39,54,72,95,99,110],"Multiple":[5,9],"n":[6,10],"Inputs":[7],"and":[8,41,68,121,140],"Outputs":[11],"(MIMOn)":[12],"cascade":[13,32],"non-linear":[14,33],"systems":[15],"with":[16,129],"random":[17],"parameters":[18],"is":[19,76],"considered":[20],"in":[21],"this":[22],"paper":[23],"using":[24,113],"the":[25,37,52,70,80,88,93,96,108],"probability":[26,98],"estimation":[29],"method.":[30],"MIMOn":[31,103],"systems,":[34],"particularly":[35],"when":[36],"number":[38],"inputs":[40,139],"outputs":[42],"exceeds":[43],"three":[44],"(n":[45],"&amp;gt;":[46],"3),":[47],"exhibit":[48],"a":[49,130,134],"unique":[50],"property:":[51],"appearance":[53],"spatial":[55,66,73,122],"hyperchaos":[56],"that":[57],"can":[58],"lead":[59],"to":[60,78],"system":[61,137],"instability.":[62],"To":[63],"achieve":[64],"desired":[65],"dynamics":[67],"prevent":[69],"occurrence":[71],"hyperchaos,":[74],"it":[75],"necessary":[77],"select":[79],"appropriate":[81],"parameter":[82,90],"values":[83,91],"for":[84,101],"these":[85],"systems.":[86,104],"Moreover,":[87],"optimal":[89],"enable":[92],"attainment":[94],"highest":[97],"stochastic":[102,135],"research":[106],"presents":[107],"results":[109],"analysis":[112],"tools":[114],"such":[115],"as":[116],"bifurcation":[117],"diagram,":[118],"Lyapunov":[119],"diagram":[120],"phase":[123],"portraits,":[124],"generated":[125],"through":[126],"MATLAB":[127],"M-files,":[128],"specific":[131],"focus":[132],"on":[133],"MIMO5":[136],"(five":[138],"five":[141],"outputs).":[142]},"counts_by_year":[],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}
