Stability Analysis for Discrete-Time Stochastic Fuzzy Neural Networks with Mixed Delays

Li YaJun; Zhu Quanxin

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Stability Analysis for Discrete-Time Stochastic Fuzzy Neural Networks with Mixed Delays

机译：混合时滞离散随机模糊神经网络的稳定性分析

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This paper is concerned with the stability problem of a class of discrete-time stochastic fuzzy neural networks with mixed delays. New Lyapunov-Krasovskii functions are proposed and free weight matrices are introduced. The novel sufficient conditions for the stability of discrete-time stochastic fuzzy neural networks with mixed delays are established in terms of linear matrix inequalities (LMIs). Finally, numerical examples are given to illustrate the effectiveness and benefits of the proposed method.

机译：本文涉及一类具有混合时滞的离散时间随机模糊神经网络的稳定性问题。提出了新的Lyapunov-Krasovskii函数，并引入了自由权矩阵。根据线性矩阵不等式（LMI），建立了具有混合时滞的离散随机模糊神经网络的稳定性的新颖的充分条件。最后，通过算例说明了该方法的有效性和优越性。

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来源
《Mathematical Problems in Engineering》 |2019年第4期|8529053.1-8529053.13|共13页
作者
Li YaJun; Zhu Quanxin;
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作者单位

Shunde Polytech, Dept Elect & Informat Engn, Foshan 528300, Peoples R China;

Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China;

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1. Stability Analysis for Discrete-Time Stochastic Fuzzy Neural Networks with Mixed Delays [J] . Li YaJun, Zhu Quanxin Mathematical Problems in Engineering . 2019,第PTa4期

机译：不同时间随机模糊神经网络与混合延迟的稳定性分析
2. Stability Analysis for Discrete-Time Stochastic Fuzzy Neural Networks with Mixed Delays [J] . YaJun Li, Quanxin Zhu Mathematical Problems in Engineering: Theory, Methods and Applications . 2019,第1期

机译：不同时间随机模糊神经网络与混合延迟的稳定性分析
3. Robust dissipativity and passivity analysis for discrete-time stochastic T-S fuzzy Cohen-Grossberg Markovian jump neural networks with mixed time delays [J] . Ramasamy S., Nagamani G., Zhu Quanxin Nonlinear dynamics . 2016,第4期

机译：混合时滞的离散随机T-S模糊Cohen-Grossberg Markovian跳跃神经网络的鲁棒耗散性和无源性分析
4. Improved global asymptotic stability criteria for discrete-time stochastic neural networks with mixed time delays [C] . Lijie Geng, Rui Xu, Zhe Li 2011 Cross Strait Quad-Regional Radio Science and Wireless Technology Conference . 2011

机译：具有混合时滞的离散时间随机神经网络的改进全局渐近稳定性准则
5. Stability analysis of two classes of dynamical systems: General hybrid systems and neural networks with delays [D] . Ye, Hui 1996

机译：两类动力系统的稳定性分析：通用混合动力系统和带时滞的神经网络
6. The stability of impulsive stochastic Cohen–Grossberg neural networks with mixed delays and reaction–diffusion terms [O] . Jie Tan, Chuandong Li, Tingwen Huang 2015

机译：具有混合时滞和反应扩散项的脉冲随机Cohen-Grossberg神经网络的稳定性
7. Stability of Stochastic Discrete-Time Neural Networks with Discrete Delays and the Leakage Delay [O] . Liyuan Hou, Hong Zhu 2015

机译：离散延迟的随机离散时期神经网络的稳定性及泄漏延迟

Stability Analysis for Discrete-Time Stochastic Fuzzy Neural Networks with Mixed Delays

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