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- W2322140903 abstract "In this paper, the authors focus on the application of linear matrix inequality (LMI) in the stabilization of fractional-order chaotic systems and the strict mathematical description and proof of LMI. Based on the theory of the fractional-order interval system, the generalized Takagi-Sugeno fuzzy model is applied to a wide class of fractional-order chaotic systems with uncertain parameters. The sufficient stability condition for the fractional-order systems is presented as a set of LMI for the first time and the strict mathematical norms of LMI are given. Furthermore, a controller is developed to stabilize fractional-order chaotic systems, and may be applied to fractional-order systems with uncertainty. Finally, two representative examples of the three-dimensional fractional-order permanent magnet synchronous motor system and the four-dimensional fractional-order hyperchaotic system based on Chen’s system are provided to demonstrate the effectiveness of theoretical analysis." @default.
- W2322140903 created "2016-06-24" @default.
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- W2322140903 date "2014-08-26" @default.
- W2322140903 modified "2023-09-30" @default.
- W2322140903 title "Takagi-Sugeno fuzzy control for a wide class of fractional-order chaotic systems with uncertain parameters via linear matrix inequality" @default.
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- W2322140903 doi "https://doi.org/10.1177/1077546314546682" @default.
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