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The paper deals with the exponential stability of nonlinear fractional order systems with time-varying delays represented using Takagi-Sugeno fuzzy models. Initially, a frequency transformation converts the fractional-order expression into an integer model. Then, exponential stability and stabilization criteria are expressed as linear matrix inequalities (LMIs) using the Lyapunov-Krasovskii technique. Numerical simulations are carried out to show the effectiveness of the proposed stabilization approach.
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Rebai et al. (2024) studied this question.
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