Caputo模糊延迟惯性神经网络全局Mittag-Leffler同步的新结果

IF 2.6 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Modelling and Control Pub Date : 2023-03-30 DOI:10.15388/namc.2023.28.31878

Xiangnian Yin, Hongmei Zhang, Hai Zhang, Weiwei Zhang, Jinde Cao

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引用次数: 0

摘要

本文讨论了Caputo型分数阶模糊延迟惯性神经网络的全局Mittag-Leffler同步问题。首先，系统同时考虑了惯性项和模糊项。为了减少惯性项的影响，通过变量代换的方法实现了降阶。引入模糊术语可以尽可能地避免模糊性或不确定性。随后，设计了一个非线性延迟控制器来实现GMLS。利用不等式技术、函数的李雅普诺夫直接法和拉祖米金定理，建立了解释FOFINN的GMLS的准则。特别地，在两个特殊情况下给出了两个推论。此外，通过模拟进一步证实了所获得结果的可用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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New results of global Mittag-Leffler synchronization on Caputo fuzzy delayed inertial neural networks

This article is devoted to discussing the problem of global Mittag-Leffler synchronization (GMLS) for the Caputo-type fractional-order fuzzy delayed inertial neural networks (FOFINNs). First of all, both inertial and fuzzy terms are taken into account in the system. For the sake of reducing the influence caused by the inertia term, the order reduction is achieved by the measure of variable substitution. The introduction of fuzzy terms can evade fuzziness or uncertainty as much as possible. Subsequently, a nonlinear delayed controller is designed to achieve GMLS. Utilizing the inequality techniques, Lyapunov’s direct method for functions and Razumikhin theorem, the criteria for interpreting the GMLS of FOFINNs are established. Particularly, two inferences are presented in two special cases. Additionally, the availability of the acquired results are further confirmed by simulations.

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来源期刊

Nonlinear Analysis-Modelling and Control MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

3.80

自引率

10.00%

发文量

审稿时长

9.6 months

期刊介绍： The scope of the journal is to provide a multidisciplinary forum for scientists, researchers and engineers involved in research and design of nonlinear processes and phenomena, including the nonlinear modelling of phenomena of the nature. The journal accepts contributions on nonlinear phenomena and processes in any field of science and technology. The aims of the journal are: to provide a presentation of theoretical results and applications; to cover research results of multidisciplinary interest; to provide fast publishing of quality papers by extensive work of editors and referees; to provide an early access to the information by presenting the complete papers on Internet.