Finite-time stability of fractional-order bidirectional associative memory neural networks with mixed time-varying delays

Yang Zhanying; Zhang Jie; Niu Yanqing

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Finite-time stability of fractional-order bidirectional associative memory neural networks with mixed time-varying delays

机译：具有混合时变延迟的分数级双向关联记忆神经网络的有限时间稳定性

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摘要

This paper investigates the finite-time stability of fractional-order bidirectional associative memory neural networks with mixed time-varying delays. The sufficient conditions are derived to ensure the finite-time stability of systems by employing some analytical techniques and some inequalities. In addition, some conditions are achieved to guarantee the existence, the uniqueness and the finite-time stability of equilibrium point. Finally, two numerical examples are given to verify the effectiveness of the obtained main results.

机译：本文研究了混合时变延迟的分数级双向关联内存神经网络的有限时间稳定性。通过采用一些分析技术和一些不等式来得出足够的条件以确保系统的有限时间稳定性。此外，实现了一些条件以保证存在，唯一性和平衡点的有限稳定性。最后，给出了两个数值例子来验证所获得的主要结果的有效性。

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来源
《Journal of Applied Mathematics and Computing》 |2020年第2期|共22页
作者
Yang Zhanying; Zhang Jie; Niu Yanqing;
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作者单位

South Cent Univ Nationalities Sch Math &

Stat Wuhan 430074 Hubei Peoples R China;

South Cent Univ Nationalities Sch Math &

Stat Wuhan 430074 Hubei Peoples R China;

South Cent Univ Nationalities Sch Math &

Stat Wuhan 430074 Hubei Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Fractional-order system; Bidirectional associative memory neural networks; Finite-time stability; Mixed time-varying delays;

机译：分数阶系统;双向关联内存神经网络;有限时间稳定;混合时变延迟;

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专利

1. Finite-time stability of fractional-order bidirectional associative memory neural networks with mixed time-varying delays [J] . Yang Zhanying, Zhang Jie, Niu Yanqing Journal of Applied Mathematics and Computing . 2020,第1a2期

机译：具有混合时变延迟的分数级双向关联记忆神经网络的有限时间稳定性
2. Finite-Time Stability for Fractional-Order Bidirectional Associative Memory Neural Networks with Time Delays [J] . Chang-Jin Xu, Pei-Luan Li, Yi-Cheng Pang 理论物理通讯（英文版） . 2017,第002期

机译：分数阶时滞双向联想记忆神经网络的有限时间稳定性
3. Global stabilization of fractional-order bidirectional associative memory neural networks with mixed time delays via adaptive feedback control [J] . Yang Zhanying, Zhang Jie International journal of computer mathematics . 2020,第9a12期

机译：具有自适应反馈控制的混合时间延迟的分数级双向关联内存神经网络的全局稳定
4. A New Delay-Dependent Approach to Robust Stability for Uncertain Hybrid Bidirectional Associative Memory Neural Networks with Time-Varying Delays [C] . Chien-Yu Lu, Te-Jen Su, Wen-Jye Shyr International Conference on Innovative Computing, Information and Control . 2006

机译：具有时变延迟的不确定混合双向联想内存神经网络的强大延迟依赖性方法
5. Exponential Stability of Intrinsically Stable Dynamical Networks and Switched Networks with Time-Varying Time Delays [D] . Reber, David Patrick. 2019

机译：具有时变时间延迟的内在稳定动态网络和交换网络的指数稳定性
6. Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes [O] . Xiaoshuai Ding, Jinde Cao, Xuan Zhao, -1

机译：具有不连续激活的延迟分数阶双向联想记忆神经网络的Mittag-Leffler同步：状态反馈控制和脉冲控制方案
7. Stability Analysis of Fractional-Order Bidirectional Associative Memory Neural Networks with Mixed Time-Varying Delays [O] . Zhanying Yang, Jie Zhang 2019

机译：混合时变延迟分数级双向关联记忆神经网络的稳定性分析

Finite-time stability of fractional-order bidirectional associative memory neural networks with mixed time-varying delays

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