Mittag–Leffler Synchronization of Delayed Fractional Memristor Neural Networks via Adaptive Control

Kao Yonggui; Li Ying; Park Ju H.; Chen Xiangyong

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Mittag–Leffler Synchronization of Delayed Fractional Memristor Neural Networks via Adaptive Control

机译：通过自适应控制的延迟分数映射器神经网络的Mittag-Leffler同步

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摘要

This brief is devoted to exploring the global Mittag-Leffler (ML) synchronization problem of fractional-order memristor neural networks (FOMNNs) with leakage delay via a hybrid adaptive controller. By applying Fillipov's theory and the Lyapunov functional method, the novel algebraic sufficient condition for the global ML synchronization of FOMNNs is derived. Finally, a simulation example is presented to show the practicability of our findings.

机译：本简要致力于探索通过混合自适应控制器的泄漏延迟的分数阶Memristor神经网络（FOMNNS）的全球Mittag-Leffler（ML）同步问题。通过应用Fillipov的理论和Lyapunov功能方法，推导出FOMNNS全球ML同步的新型代数充分条件。最后，提出了一种模拟示例以显示我们的研究结果的实用性。

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来源
《Neural Networks and Learning Systems, IEEE Transactions on》 |2021年第5期|2279-2284|共6页
作者
Kao Yonggui; Li Ying; Park Ju H.; Chen Xiangyong;
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作者单位

Harbin Inst Technol Dept Math Weihai 264209 Peoples R China|Linyi Univ Sch Automat & Elect Engn Linyi 276005 Shandong Peoples R China;

Harbin Inst Technol Dept Math Weihai 264209 Peoples R China;

Yeungnam Univ Dept Elect Engn Kyongsan Si 38541 South Korea;

Linyi Univ Sch Automat & Elect Engn Linyi 276005 Shandong Peoples R China;

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正文语种 eng
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关键词
Delays; Synchronization; Artificial neural networks; Memristors; Adaptive control; Stability criteria; Adaptive control; fractional-order (FO) networks; memristor neural networks (NNs); Mittag–Leffler (ML) synchronization;

机译：延迟;同步;人工神经网络;忆故者;自适应控制;稳定性标准;自适应控制;分数阶（FO）网络;Memristor神经网络（NNS）;Mittag-Leffler（ML）同步;

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1. Global Mittag-Leffler Synchronization for Fractional-Order BAM Neural Networks with Impulses and Multiple Variable Delays via Delayed-Feedback Control Strategy [J] . Ye Renyu, Liu Xinsheng, Zhang Hai, Neural processing letters . 2019,第1期

机译：具有延迟和反馈的分数阶BAM神经网络的全局Mittag-Leffler同步
2. Global Asymptotic Stability and Adaptive Ultimate Mittag–Leffler Synchronization for a Fractional-Order Complex-Valued Memristive Neural Networks With Delays [J] . Chen Jiejie, Chen Boshan, Zeng Zhigang IEEE Transactions on Systems, Man, and Cybernetics . 2019,第12期

机译：具有分数阶分数阶复值忆阻神经网络的全局渐近稳定性和自适应最终Mittag-Leffler同步
3. LMI-based criterion for global Mittag-Leffler lag quasi-synchronization of fractional-order memristor-based neural networks via linear feedback pinning control [J] . Jia Jia, Zeng Zhigang Neurocomputing . 2020,第Octa28期

机译：基于LMI的全球Mittag-Leffler LAG准则通过线性反馈钉控制的基于小数阶Memristor的神经网络同步
4. Global Ultimate Mittag-Leffler Lag Quasi-Synchronization of Delayed Fractional-Order Memristive Neural Networks with Switching Jumps Mismatch via Pinning Control [C] . Jia Jia, Zhigang Zeng Chinese Control Conference . 2020

机译：全局终极Mittag-Leffler滞后拟同步的时滞分数阶忆阻神经网络具有通过钉扎控制切换跳变不匹配
5. A recurrent adaptive time delay neural network for fault detection and isolation for the satellite's attitude control system. [D] . Zhao, Shu ping. 2007

机译：递归自适应时延神经网络，用于卫星姿态控制系统的故障检测和隔离。
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. 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, 2017

机译：具有不连续激活的延迟分数级双向关联内存神经网络的Mittag-Leffler同步：状态反馈控制和冲动控制方案

Mittag–Leffler Synchronization of Delayed Fractional Memristor Neural Networks via Adaptive Control

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