Asymptotic Stabilization of Fractional Order Fuzzy Time-Varying Delay Systems

A. Rebai, Kamel GUESMI
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Abstract

This paper deals with the asymptotic stability of fractional order Takagi-Sugeno fuzzy time-varying delay systems. First, asymptotic stability of this class of systems is analyzed. Then, sufficient conditions are obtained using Lyapunov-Krasovskii approach to ensure the asymptotic stability of the closed loop system. Finally, the effectiveness of proposed approach is carried out through numerical simulations.
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分数阶模糊时变时滞系统的渐近镇定
研究分数阶Takagi-Sugeno模糊时变时滞系统的渐近稳定性。首先,分析了这类系统的渐近稳定性。然后,利用Lyapunov-Krasovskii方法,得到了闭环系统渐近稳定的充分条件。最后,通过数值仿真验证了所提方法的有效性。
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