Stabilization of memristive neural networks with mixed time-varying delays via continuous/periodic event-based control

Cao Yuting; Wang Shiqin; Guo Zhenyuan; Huang Tingwen; Wen Shiping

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Stabilization of memristive neural networks with mixed time-varying delays via continuous/periodic event-based control

机译：通过基于连续/周期性的事件的控制稳定混合时变延迟的忆阻神经网络

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This paper addresses the asymptotic stabilization of memristive neural networks with mixed time-varying delays. With two different sampling schemes, sufficient conditions for asymptotic stability of the delayed memristive neural networks system can be obtained by designing appropriate event-based controllers. It is worth mentioning that the state-dependent memristive neural network model in this paper includes time-varying discrete and distributed delays, which is a generalization of the traditional neural network model. Furthermore, based on the continuous sampling event trigger control scheme, a method for designing more economical periodic sampling event trigger control scheme is proposed. Finally, to verify the validity of our conclusions, two numerical simulation examples are given. (C) 2020 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

机译：本文满足了混合时变延迟的忆阻神经网络的渐近稳定。利用两个不同的采样方案，可以通过设计基于事件的控制器来获得延迟丢失神经网络系统的渐近稳定性的充分条件。值得一提的是，本文中的状态依赖性忆阻神经网络模型包括时变离散和分布延迟，这是传统神经网络模型的概括。此外，基于连续采样事件触发控制方案，提出了一种设计更经济的周期性采样事件触发控制方案的方法。最后，为了验证我们结论的有效性，给出了两个数值模拟实施例。（c）2020富兰克林学院。 elsevier有限公司出版。保留所有权利。

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《Journal of the Franklin Institute》 |2020年第11期|7122-7138|共17页
作者
Cao Yuting; Wang Shiqin; Guo Zhenyuan; Huang Tingwen; Wen Shiping;
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Hunan Univ Coll Math & Econometr Changsha 410082 Hunan Peoples R China;

Univ Elect Sci & Technol China Sch Comp Sci & Engn Chengdu 611731 Peoples R China;

Hunan Univ Coll Math & Econometr Changsha 410082 Hunan Peoples R China;

Texas A&M Univ Qatar Sci Program Doha 23874 Qatar;

Univ Elect Sci & Technol China Sch Comp Sci & Engn Chengdu 611731 Peoples R China;

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1. Event-based sliding-mode synchronization of delayed memristive neural networks via continuous/periodic sampling algorithm [J] . Wang Yuxiao, Cao Yuting, Guo Zhenyuan, Applied mathematics and computation . 2020,第1期

机译：基于事件的连续/周期采样算法延迟膜神经网络的滑模同步
2. Exponential Antisynchronization Control of Stochastic Memristive Neural Networks with Mixed Time-Varying Delays Based on Novel Delay-Dependent or Delay-Independent Adaptive Controller [J] . Yu Minghui, Wang Weiping, Luo Xiong, Mathematical Problems in Engineering . 2017,第期

机译：基于时滞或时滞独立自适应控制器的混合时变时滞随机忆阻神经网络的指数反同步控制
3. Global Stabilization of Memristive Neural Networks with Leakage and Time-Varying Delays Via Quantized Sliding-Mode Controller [J] . Yuting Cao, Bo Sun, Zhenyuan Guo, Neural processing letters . 2020,第3期

机译：通过量化滑模控制器的泄漏和时变延迟的全局稳定性难题
4. Global exponential stability and synchronization of memristive neural networks including both time-varying and continuously distributed delays [C] . Wengui Yang, Wenwu Yu, Tingwen Huang, The 14th International Workshop on Complex Systems and Networks . 2017

机译：忆阻神经网络的全局指数稳定性和同步性，包括时变和连续分布的延迟
5. Variable Sampling Compensation of Networked Control Systems With Delays Using Neural Networks. [D] . Lopez Echevarria, Daniel. 2011

机译：使用神经网络的时滞网络控制系统的可变采样补偿。
6. The stability of memristive multidirectional associative memory neural networks with time-varying delays in the leakage terms via sampled-data control [O] . Weiping Wang, Xin Yu, Xiong Luo, 2012

机译：具有时变时滞的忆阻多向联想记忆神经网络通过采样数据控制的稳定性
7. Passivity analysis of memristive neural networks with mixed time-varying delays and different state-dependent memductance functions [O] . Jian Liu, Rui Xu 2016

机译：混合时变时滞和状态依赖的不同导忆函数的忆阻神经网络的无源性分析

Stabilization of memristive neural networks with mixed time-varying delays via continuous/periodic event-based control

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