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Because the main section of the model predictive control is optimization, the hierarchical scheme is performed for the optimization problem. Furthermore, persistent disturbances are considered that robust positive invariance and input-to-state stability under such circumstances are studied. The linear matrix inequalities (LMIs) method is performed for our computations. So the closed-loop large-scale system is asymptotically stable. Ultimately, by two examples, the effectiveness of the proposed method is illustrated, and a comparison with other papers is made by remarks.<\/jats:p>","DOI":"10.1007\/s40815-021-01217-4","type":"journal-article","created":{"date-parts":[[2022,4,19]],"date-time":"2022-04-19T13:04:02Z","timestamp":1650373442000},"page":"2107-2130","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Hierarchical Optimization-Based Model Predictive Control for a Class of Discrete Fuzzy Large-Scale Systems Considering Time-Varying Delays and Disturbances"],"prefix":"10.1007","volume":"24","author":[{"given":"Mohammad","family":"Sarbaz","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Iman","family":"Zamani","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3461-9250","authenticated-orcid":false,"given":"Mohammad","family":"Manthouri","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Asier","family":"Ibeas","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,4,19]]},"reference":[{"key":"1217_CR1","unstructured":"Du P, Liang H, Zhao S, Ahn CK (2019) Neural-based decentralized adaptive finite-time control for nonlinear large-scale systems with time-varying output constraints. 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