Robust State Estimation for Delayed Neural Networks with Stochastic Parameter Uncertainties

Park M. J.; Kwon O. M.; Park Ju H.; Lee S. M.; Cha E. J.

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Robust State Estimation for Delayed Neural Networks with Stochastic Parameter Uncertainties

机译：具有随机参数不确定性的时滞神经网络的鲁棒状态估计

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This paper considers the problem of delay-dependent state estimation for neural networks with time-varying delays and stochastic parameter uncertainties. It is assumed that the parameter uncertainties are affected by the environment which is changed with randomly real situation, and its stochastic information such as mean and variance is utilized in the proposed method. By constructing a newly augmented Lyapunov-Krasovskii functional, a designing method of estimator for neural networks is introduced with the framework of linear matrix inequalities (LMIs) and a neural networks model with stochastic parameter uncertainties which have not been introduced yet. Two numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed idea.

机译：考虑具有时变时滞和随机参数不确定性的神经网络的时滞相关状态估计问题。假设参数不确定性受环境的影响，环境随随机实际情况的变化而变化，并且在该方法中利用了其诸如均值和方差之类的随机信息。通过构造一个新的增强的Lyapunov-Krasovskii泛函，在线性矩阵不等式（LMI）框架和尚未引入随机参数不确定性的神经网络模型的基础上，介绍了一种神经网络估计器的设计方法。给出了两个数值示例，以说明对现有方法的改进和所提出思想的有效性。

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《Mathematical Problems in Engineering》 |2015年第4期|948391.1-948391.18|共18页
作者
Park M. J.; Kwon O. M.; Park Ju H.; Lee S. M.; Cha E. J.;
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作者单位

Chungbuk Natl Univ, Sch Elect Engn, Chongju 361763, South Korea.;

Chungbuk Natl Univ, Sch Elect Engn, Chongju 361763, South Korea.;

Yeungnam Univ, Dept Elect Engn, Nonlinear Dynam Grp, Kyongsan 712749, South Korea.;

Daegu Univ, Sch Elect Engn, Gyongsan 712714, South Korea.;

Chungbuk Natl Univ, Sch Med, Dept Biomed Engn, Chongju 361763, South Korea.;

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1. Robust State Estimation for Delayed Neural Networks with Stochastic Parameter Uncertainties [J] . M. J.Park, O. M.Kwon, Ju H.Park, Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第5期

机译：具有随机参数不确定性的时滞神经网络的鲁棒状态估计
2. Robust State Estimation for Delayed Neural Networks with Stochastic Parameter Uncertainties [J] . M. J.Park, O. M.Kwon, Ju H.Park, Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第5期

机译：具有随机参数不确定性的时滞神经网络的鲁棒状态估计
3. Robust Synchronization Criterion for Coupled Stochastic Discrete-Time Neural Networks with Interval Time-Varying Delays, Leakage Delay, and Parameter Uncertainties [J] . M. J.Park, O. M.Kwon, Ju H.Park, Abstract and applied analysis . 2013,第6期

机译：具有时变，泄漏时滞和参数不确定性的随机离散神经网络的鲁棒同步判据
4. A Note on Robust Stability of Genetic Regulatory Networks with Parameter Uncertainties, Stochastic Disturbances, and Time-varying Delays [C] . Seyed Mohsen Mousavi, Maryam Fattahi m, Vahid Johari Majd ICCEE 2010;International conference on computer and electrical engineering . 2010

机译：具有参数不确定性，随机干扰和时变时滞的遗传调控网络的鲁棒稳定性的注记
5. Parameter and Uncertainty Estimation of Physical, Chemical, and Biological processes in Environmental Models using Stochastic Inverse Modeling [D] . Stewart, Heather Ann. 2017

机译：使用随机逆建模的环境模型中物理，化学和生物过程的参数和不确定度估计
6. Robust stability analysis of impulsive complex-valued neural networks with time delays and parameter uncertainties [O] . Yuanshun Tan, Sanyi Tang, Jin Yang, -1

机译：具有时滞和参数不确定性的脉冲复数值神经网络的鲁棒稳定性分析
7. Robust State Estimation for Delayed Neural Networks with Stochastic Parameter Uncertainties [O] . M. J. Park, O. M. Kwon, Ju H. Park, 2015

机译：随机参数不确定性延迟神经网络的强大状态估计

Robust State Estimation for Delayed Neural Networks with Stochastic Parameter Uncertainties

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