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Then, based on the mixed Lyapunov function approach, we describe the stability of the nonlinear repetitive mechanism on time and trial indices and have appropriate conditions for the repeated control system\u2019s stability in terms of linear matrix inequality theory. Through LMI techniques, we have obtained satisfactory results and controller stability, and robustness against fault tolerance is also discussed in detail. Finally, the simulation results of the output tracking control of the two exemplary models verify the effectiveness of the proposed algorithm.<\/jats:p>","DOI":"10.1155\/2021\/5577241","type":"journal-article","created":{"date-parts":[[2021,4,16]],"date-time":"2021-04-16T20:20:22Z","timestamp":1618604422000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Design and Implementation of Novel LMI\u2010Based Iterative Learning Robust Nonlinear 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