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Simple Algebraic Criteria for Asymptotic Stability of a Class of TS Fuzzy Time-Delay Switched Systems

机译:一类TS模糊时滞切换系统的渐近稳定性的简单代数判据

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This paper investigates the asymptotic stability of a class of TS fuzzy switched systems when an arbitrary switching strategy is adopted. The proposed method, applied to neutral and retarded-type systems, is based on the vector-norms approach. The idea consists in defining a common comparison system to all the fuzzy models. If this comparison system can be described by a state matrix that fulfills the properties of the opposite of an M-matrix, then we can conclude on the asymptotic stability of the initial system via simple algebraic delay-independent conditions.
机译:研究了采用任意切换策略的一类TS模糊切换系统的渐近稳定性。拟议的方法,适用于中性和延迟类型的系统,基于矢量范数方法。该思想在于为所有模糊模型定义一个通用的比较系统。如果这个比较系统可以用满足M矩阵相反性质的状态矩阵来描述,那么我们可以通过简单的与代数延迟无关的条件来得出初始系统的渐近稳定性。

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