Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions <ce:cross-ref refid='fn1'> <ce:sup loc='post'>?</ce:sup> </ce:cross-ref>

Leandro J. Elias; Flávio A. Faria; Rayza Araujo; Vilma A. Oliveira

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Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions ?

机译：具有开关多项式Lyapunov功能的TS模糊系统的稳定性条件？

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Exploring properties of membership functions, sufficient conditions based on linear matrix inequalities (LMIs) for a existence of a switched polynomial Lyapunov function are proposed. To obtain the LMIs, the time derivative of membership functions are described as a finite polytopic representation, leading to less conservative conditions than other published results. A numerical example illustrates the efficiency of the stabilizing conditions.

机译：提出了探索成员函数的属性，提出了基于线性矩阵不等式（LMI）的充分条件，用于存在交换多项式Lyapunov函数的存在。为了获得LMI，隶属函数的时间衍生物被描述为有限多种子型表示，导致较少保守的条件，而不是其他公开的结果。数值示例说明了稳定条件的效率。

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《IFAC PapersOnLine》 |2020年第2期|共6页
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Leandro J. Elias; Flávio A. Faria; Rayza Araujo; Vilma A. Oliveira;
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TS fuzzy systemPolynomial Lyapunov functionsStability analysisLinear matrix inequalities;

机译：TS模糊系统Polynomial Lyapunov函数稳定性分析线性矩阵不等式;

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Stability conditions of TS fuzzy systems with switched polynomial Lyapunov functions ?

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