Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays

Tianyu Wang; Quanxin Zhu; Jingwei Cai

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Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays

机译：具有多比例时滞和分布时滞的随机模糊递归神经网络的均方指数输入到状态稳定性

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We are interested in a class of stochastic fuzzy recurrent neural networks with multiproportional delays and distributed delays. By constructing suitable Lyapunov-Krasovskii functionals and applying stochastic analysis theory, It’s formula and Dynkin’s formula, we derive novel sufficient conditions for mean-square exponential input-to-state stability of the suggested system. Some remarks and discussions are given to show that our results extend and improve some previous results in the literature. Finally, two examples and their simulations are provided to illustrate the effectiveness of the theoretical results.

机译：我们对一类具有多比例时滞和分布时滞的随机模糊递归神经网络感兴趣。通过构建合适的Lyapunov-Krasovskii泛函并应用随机分析理论，公式和Dynkin公式，我们得出了建议系统均方指数输入至状态稳定性的新颖充分条件。进行了一些评论和讨论，以表明我们的结果扩展并改进了文献中的某些先前结果。最后，提供了两个例子及其仿真来说明理论结果的有效性。

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2018年第3期|共页
作者
Tianyu Wang; Quanxin Zhu; Jingwei Cai;
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中图分类工程数学;
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1. Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays [J] . Wang Tianyu, Zhu Quanxin, Cai Jingwei Mathematical Problems in Engineering . 2018,第13期

机译：具有多比例时滞和分布时滞的随机模糊递归神经网络的均方指数输入到状态稳定性
2. Mean-square exponential input-to-state stability of stochastic recurrent neural networks with multi-proportional delays [J] . Zhou Liqun, Liu Xueting Neurocomputing . 2017,第JANa5期

机译：具有多比例延迟的随机递归神经网络的均方指数输入到状态稳定性
3. Mean-square exponential input-to-state stability for neutral stochastic neural networks with mixed delays [J] . Song Yinfang, Sun Wen, Jiang Feng Neurocomputing . 2016,第sepa12期

机译：具有混合时滞的中立随机神经网络的均方指数输入到状态稳定性
4. Exponential Input-to-State Stability of Stochastic Fuzzy Delayed Cohen-Grossberg Neural Networks Under Impulsive Perturbations [C] . Weisong Zhou, Hao Zeng, Donghai Wu Chinese Control Conference . 2018

机译：脉冲扰动下随机模糊时滞Cohen-Grossberg神经网络的指数输入状态稳定性
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. Mean-square exponential input-to-state stability of stochastic recurrent neural networks with multi-proportional delays [O] . Liqun Zhou, Xueting Liu 2017

机译：具有多比例延迟的随机经常性神经网络的平均方形指数输入 - 状态稳定性

Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays

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