Finite-Time Synchronization of Coupled Inertial Memristive Neural Networks with Mixed Delays via Nonlinear Feedback Control

Cuiping Yang; Zuoliang Xiong; Tianqing Yang

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Finite-Time Synchronization of Coupled Inertial Memristive Neural Networks with Mixed Delays via Nonlinear Feedback Control

机译：非线性反馈控制与混合延迟耦合惯性忆内神经网络的有限时间同步

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The finite-time synchronization of coupled inertial memristive neural networks (IMNNs) systems is discussed in this paper. Firstly, a mathematical model of IMNNs with time-varying delays is given, then the original system is transformed into a first-order differential equation by selecting a suitable variable substitution. Secondly, by using two different controllers and the definition of the upper right-hand derivative, it can be guaranteed that finite-time and fixed-time synchronization between response system and drive system based on finite time stability and fixed time theory. Finally, two numerical simulations are given to illustrate the effectiveness of the main results.

机译：本文讨论了耦合惯性忆内神经网络（IMNNS）系统的有限时间同步。首先，给出具有时变延迟的IMNN的数学模型，然后通过选择合适的可变替换来将原始系统转换为一阶微分方程。其次，通过使用两个不同的控制器和右上方导数的定义，可以保证基于有限时间稳定性和固定时间理论的响应系统和驱动系统之间的有限时间和定时同步。最后，给出了两种数值模拟来说明主要结果的有效性。

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来源
《Neural processing letters》 |2020年第2期|1921-1938|共18页
作者
Cuiping Yang; Zuoliang Xiong; Tianqing Yang;
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作者单位

Department of Mathematics Nanchang University Nanchang 330031 Jiangxi Province People's Republic of China;

Department of Mathematics Nanchang University Nanchang 330031 Jiangxi Province People's Republic of China;

Department of Mathematics Nanchang University Nanchang 330031 Jiangxi Province People's Republic of China;

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正文语种 eng
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关键词
Finite-time synchronization; Fixed-time synchronization; Nonlinear feedback control; Time delays;

机译：有限时间同步;固定时间同步;非线性反馈控制;时间延迟;

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1. Finite-time synchronization of inertial memristive neural networks with time delay via delay-dependent control [J] . Guo Zhenyuan, Gong Shuqing, Huang Tingwen Neurocomputing . 2018,第JUNa7期

机译：时滞依赖于控制的时滞惯性忆阻神经网络的有限时间同步
2. Finite-time synchronization of inertial memristive neural networks with time-varying delays via sampled-date control [J] . Huang Dasong, Jiang Minghui, Jian Jigui Neurocomputing . 2017,第nova29期

机译：具有时变时滞的惯性忆阻神经网络通过采样日期控制的有限时间同步
3. Further results on finite-time synchronization of delayed inertial memristive neural networks via a novel analysis method [J] . Hua Lanfeng, Zhong Shouming, Shi Kaibo, Neural Networks: The Official Journal of the International Neural Network Society . 2020,第1期

机译：通过新的分析方法进一步研究延迟惯性忆内神经网络的有限时间同步
4. Finite-Time Anti-Synchronization Control of Memristive Neural Networks with Time Delays [C] . Jie Wu, Leimin Wang Chinese Control Conference . 2020

机译：时滞忆阻神经网络的有限时间反同步控制
5. Multistability in neural networks with delayed feedback: Theory and applications. [D] . Ma, Jianfu. 2008

机译：具有延迟反馈的神经网络中的多重稳定性：理论与应用。
6. Finite-time and fixed-time synchronization analysis of inertial memristive neural networks with time-varying delays [O] . Ruoyu Wei, Jinde Cao, Ahmed Alsaedi 2018

机译：时变时滞惯性忆阻神经网络的有限时间和固定时间同步分析
7. Finite-Time Synchronization of Reaction-Diffusion Inertial Memristive Neural Networks via Gain-Scheduled Pinning Control [O] . Xiaona Song, Jingtao Man, Ju H. Park, 2021

机译：通过增益预定钉扎控制的反应扩散惯性忆内神经网络有限时间同步

Finite-Time Synchronization of Coupled Inertial Memristive Neural Networks with Mixed Delays via Nonlinear Feedback Control

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