Novel global exponential stability condition for discrete-time recurrent neural networks with random time-varying delays:

机译：具有随机时变时滞的离散时间递归神经网络的新型全局指数稳定性条件：

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In this paper, problem of stability for a class of discrete-time recurrent neural networks (DRNNs) with timevarying delay is considered. By employing the Lyapunov-Krasovskii function, a new condition for stability of time-delayed system is proposed. Result developed is in the term of linear matrix inequality (LMI) which can be easily checked by LMI Control toolbox. Furthermore, numerical examples are given to confirm the validity of the obtained approach.

机译：本文考虑一类具有时变时滞的离散时间递归神经网络（DRNN）的稳定性问题。利用Lyapunov-Krasovskii函数，为时滞系统的稳定性提出了新的条件。得出的结果是线性矩阵不等式（LMI），可以通过LMI Control工具箱轻松检查。此外，通过数值算例证实了所获得方法的有效性。

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《Proceedings of the 17th Iranian Conference of Biomedical Engineering》|2010年|p.1-4|共4页
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中图分类放射医学基础理论;
关键词
Lyapunov-Krasovskii function; discrete-time recurrent neural networks; linear matrix inequality;

机译：Lyapunov-Krasovskii函数;离散递归神经网络;线性矩阵不等式;

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1. Improved conditions for global exponential stability of recurrent neural networks with time-varying delays [J] . Zhigang Zeng, Jun Wang IEEE Transactions on Neural Networks . 2006,第3期

机译：具有时变时滞的递归神经网络全局指数稳定性的改进条件
2. Global exponential periodicity and global exponential stability of a class of recurrent neural networks with various activation functions and time-varying delays. [J] . Chen B, Wang J Neural Networks: The Official Journal of the International Neural Network Society . 2007,第10期

机译：一类具有各种激活函数和时变时滞的递归神经网络的全局指数周期和全局指数稳定性。
3. Improved Delay-dependent Exponential Stability Criteria For Discrete-time Recurrent Neural Networks With Time-varying Delays [J] . Baoyong Zhang, Shengyuan Xu, Yun Zou Neurocomputing . 2008,第1a3期

机译：具有时变时滞的离散时间递归神经网络的改进的时滞相关指数稳定性准则
4. Novel global exponential stability condition for discrete-time recurrent neural networks with random time-varying delays: [C] . {missing} Iranian Conference of Biomedical Engineering . 2010

机译：具有随机时变延迟的离散时间经常性神经网络的新全球指数稳定条件：
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. Exponential input-to-state stability of recurrent neural networks with multiple time-varying delays [O] . Zhichun Yang, Weisong Zhou, Tingwen Huang 2014

机译：具有多个时变时滞的递归神经网络的指数输入到状态稳定性
7. Discrete-time recurrent neural networks with time-varying delays: Exponential stability analysis [O] . Liu, Y, Wang, Z, Serrano, A, 2007

机译：时变时滞的离散时间递归神经网络：指数稳定性分析

Novel global exponential stability condition for discrete-time recurrent neural networks with random time-varying delays:

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