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首页> 外文期刊>Communications in Nonlinear Science and Numerical Simulation >Global stability analysis of fractional-order fuzzy BAM neural networks with time delay and impulsive effects
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Global stability analysis of fractional-order fuzzy BAM neural networks with time delay and impulsive effects

机译：具时滞和脉冲效应的分数阶模糊BAM神经网络的全局稳定性分析

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摘要

In this paper, the impulsive effects on the stability equilibrium solution for Riemann-Liouville fractional-order fuzzy BAM neural networks with time delay are investigated. Firstly, some sufficient conditions are derived for assuring the global asymptotic stability of the equilibrium point of the system is studied by applying the fractional Barbalat's lemma, Lyapunov stability theorem and inequality scaling skills. Secondly, the existence and uniqueness of the equilibrium point of the system are analyzed by using the corresponding property of contraction mapping principle. Two different Riemann-Liouville fractional order derivatives beta and alpha between the U-layer and V- layer are taken into account coexistent. Furthermore, a numerical example is given to verify the validity and feasibility of the obtained results. (C) 2019 Elsevier B.V. All rights reserved.
机译：本文研究了具有时滞的Riemann-Liouville分数阶模糊BAM神经网络对稳定性平衡解的脉冲影响。首先，通过应用分数巴巴拉特引理，Lyapunov稳定性定理和不等式定标技巧，研究了一些足以确保系统平衡点的全局渐近稳定性的条件。其次，利用收缩映射原理的相应性质，分析了系统平衡点的存在性和唯一性。 U层和V层之间存在两个不同的Riemann-Liouville分数阶导数β和α并存。此外，通过数值例子验证了所得结果的有效性和可行性。 （C）2019 Elsevier B.V.保留所有权利。

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