Asymptotical synchronization control of discrete-time neural networks with time-varying delays and controller nonlinearity

机译：具有时变延迟和控制器非线性的离散时间神经网络的渐近同步控制

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This paper considers the controller design problem for mean-square asymptotical synchronization of discrete-time neural networks with time-varying delay. By applying Lyapunov function method, a delay-dependent sufficient condition is proposed and formulated in the form of linear matrix inequalities (LMIs). Meanwhile, the feedback controller is derived to guarantee the asymptotical stability of the master-slave system. The nonlinearity in controller is taken into consideration during the process of controller design. A numerical example is presented to illustrate the effectiveness of proposed method.

机译：本文考虑了用于具有时变延迟的离散时间神经网络的平均渐近同步的控制器设计问题。通过应用Lyapunov功能方法，提出了一种延迟依赖性的充分条件，并以线性基质不等式（LMI）的形式配制。同时，导出反馈控制器以保证主从系统的渐近稳定性。在控制器设计过程中考虑了控制器中的非线性。提出了一个数值例子以说明所提出的方法的有效性。

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来源
《Youth Academic Annual Conference of Chinese Association of Automation》|2017年|638p|共6页
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De-hui Lin; Jun Wu; Jian-ning Li; Jian-ping Cai;
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中图分类 TP2-53;
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Synchronization; Neural networks; Delays; Linear matrix inequalities; Stability criteria; Electronic mail;

机译：同步;神经网络;延迟;线性矩阵不等式;稳定标准;电子邮件;

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2. Global exponential synchronization of inertial memristive neural networks with time-varying delay via nonlinear controller [J] . Gong Shuqing, Yang Shaofu, Guo Zhenyuan, Neural Networks: The Official Journal of the International Neural Network Society . 2018,第期

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3. GLOBAL SYNCHRONIZATION IN AN ARRAY OF DISCRETE-TIME NEURAL NETWORKS WITH NONLINEAR COUPLING AND TIME-VARYING DELAYS [J] . JINLING LIANG, ZIDONG WANG, XIAOHUI LIU International Journal of Neural Systems . 2009,第1期

机译：具有非线性耦合和时变时滞的离散神经网络阵列中的全局同步
4. Asymptotical synchronization control of discrete-time neural networks with time-varying delays and controller nonlinearity [C] . De-hui Lin, Jun Wu, Jian-ning Li, Youth Academic Annual Conference of Chinese Association of Automation . 2017

机译：具有时变时滞和控制器非线性的离散神经网络的渐近同步控制
5. Neural network enhancement of closed-loop controllers for ill-modeled systems with unknown nonlinearities [D] . Smith, Bradley Roland 1997

机译：非线性未知的不良模型系统的闭环控制器神经网络增强
6. Non-fragile mixed H∞ and passive synchronization of Markov jump neural networks with mixed time-varying delays and randomly occurring controller gain fluctuation [O] . Chao Ma -1

机译：具有混合时变时滞和随机发生的控制器增益波动的Markov跳神经网络的非脆弱混合H∞和被动同步
7. Mean-square asymptotical synchronization control and robust analysis of discrete-time neural networks with time-varying delay [O] . De-hui Lin, Jun Wu, Yang Zhu, 2018

机译：具有时变延迟的离散时间神经网络的平均方形渐近同步控制和鲁棒分析

Asymptotical synchronization control of discrete-time neural networks with time-varying delays and controller nonlinearity

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