{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T12:36:48Z","timestamp":1740141408968,"version":"3.37.3"},"reference-count":35,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[2024,2,26]],"date-time":"2024-02-26T00:00:00Z","timestamp":1708905600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/pages\/standard-publication-reuse-rights"}],"funder":[{"DOI":"10.13039\/501100004564","name":"Ministry of Education, Science and Technological Development of the Republic of Serbia","doi-asserted-by":"publisher","award":["451-03-47\/2023-01\/200124"],"award-info":[{"award-number":["451-03-47\/2023-01\/200124"]}],"id":[{"id":"10.13039\/501100004564","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2024,6,22]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>The stability problem of Multiple n Inputs and Multiple n Outputs (MIMOn) cascade non-linear systems with random parameters is considered in this paper using the probability of stability estimation method. MIMOn cascade non-linear systems, particularly when the number of inputs and outputs exceeds three (n\u00a0&amp;gt;\u00a03), exhibit a unique property: the appearance of spatial hyperchaos that can lead to system instability. To achieve desired spatial dynamics and prevent the occurrence of spatial hyperchaos, it is necessary to select the appropriate parameter values for these systems. Moreover, the optimal parameter values enable the attainment of the highest probability of stability for stochastic MIMOn systems. The research presents the results of stability analysis using tools such as bifurcation diagram, Lyapunov diagram and spatial phase portraits, generated through MATLAB M-files, with a specific focus on a stochastic MIMO5 system (five inputs and five outputs).<\/jats:p>","DOI":"10.1093\/imamci\/dnae005","type":"journal-article","created":{"date-parts":[[2024,2,26]],"date-time":"2024-02-26T19:27:42Z","timestamp":1708975662000},"page":"165-179","source":"Crossref","is-referenced-by-count":0,"title":["Probability of stability calculation of MIMOn cascade non-linear systems with random parameters"],"prefix":"10.1093","volume":"41","author":[{"given":"Bojana M","family":"Zlatkovic","sequence":"first","affiliation":[{"name":"University of Nis The Faculty of Occupational Safety in Nis, , Carnojevica 10a, 18000 Nis, Serbia"}]},{"given":"Biljana","family":"Samardzic","sequence":"additional","affiliation":[{"name":"University of Nis The Faculty of Science and Mathematics in Nis, , Visegradska 33, 18000 Nis, Serbia"}]}],"member":"286","published-online":{"date-parts":[[2024,2,26]]},"reference":[{"key":"2024062404260326700_ref1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TCOMM.2017.2711031","article-title":"In \u2013 network compression for multiterminal cascade MIMO systems","volume":"65","author":"Aguerri","year":"2017","journal-title":"IEEE Trans. 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