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Cyber-Physical Systems as general Distributed Parameter Systems:Three Types of Fractional Order Models and Emerging Research Opportunities

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IEEE/CAA Journal of Automatica Sinica 2015年第4期2卷 353-357页

作者： fudong ge YangQuan Chen Chunhai Kou College of Information Science and Technology Donghua University Mechatronics Embedded Systems and Automation Lab University of California Department of Applied Mathematics Donghua University

Cyber-physical systems (CPSs) are man-made complex systems coupled with natural processes that, as a whole, should be described by distributed parameter systems (DPSs) in general forms. This paper presents three such general models for generalized DPSs that can be used to characterize complex CPSs. These three different types of fractional operators based DPS models are: fractional Laplacian operator, fractional power of operator or fractional derivative. This research investigation is motivated by many fractional order models describing natural, physical, and anomalous phenomena, such as sub-diffusion process or super-diffusion process. The relationships among these three different operators are explored and explained. Several potential future research opportunities are then articulated followed by some conclusions and remarks. © 2014 Chinese Association of Automation.

关键词： Laplace equation Laplace transforms Mathematical operators

Optimal sensor placement for time fractional diffusion system via eigenvalue identification

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Optimal sensor placement for time fractional diffusion syste...

A numerical method for solving reaction-advection-diffusion equations in irregular domains using the cellular automata

第37届中国控制会议

作者： fudong ge YangQuan Chen School of Computer Science China University of Geosciences Hubei Key Laboratory of Intelligent geo-Information Processing China University of Geosciences School of Engineering (MESA-Lab) University of CaliforniaMerced

The purpose of this paper is to explore the optimal placements of a finite number of fixed pointwise sensors for anomalous subdiffusion processes governed by time fractional diffusion system with a Riemann-Liouville time fractional ***, we express the solution of studied system using the spectral theory of system operator. Different from the usual method of designing a performance criterion to estimate some unknown system parameters with respect to the placements of sensors, we here introduce a new criterion of accuracy in system eigenvalue identification based on the spectrum decomposition *** is shown that the optimal placements of sensors can be explicitly determined by the order of fractional derivative, the finite number of chosen eigenvalues and their corresponding eigenfunctions. An example is included in the end to confirm our results.

关键词： Optimal sensor placement Time fractional diffusion system Averaged information matrix Eigenvalue identification

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A numerical method for solving reaction-advection-diffusion ...

融合自动储备池神经网络和长短时记忆网络的森林火灾成灾面积预测方法

第32届中国控制与决策会议

作者： Pengxin Zhu fudong ge School of Computer Science China University of Geosciences

In this paper,a new numerical method is proposed to solve the reaction-advection-diffusion equation with spatio-temporal variation parameters by using the cellular *** this end,we first combine the finite difference method and the cellular automata to discretize the considered *** numerical solution and the corresponding convergence analysis are then carried out.A numerical simulation example is finally included to verify the feasibility and effectiveness of our proposed method.

关键词： Numerical solution Spatial-time-varying parameters Reaction-advection-diffusion equations Cellular automata Irregular domains

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计算机应用 2023年第S2期43卷 60-64页

作者：曾云飞葛富东中国地质大学(武汉)计算机学院武汉430074 天津大学电气自动化与信息工程学院天津300072

针对森林火灾数据维度高、易变性、可用信息少的问题,提出一种融合自动储备池神经网络(ARNN)与长短时记忆(LSTM)网络的森林火灾成灾面积预测方法。首先,根据森林火灾数据特征,基于ARNN随机生成权重;然后运用LSTM对随机权重进行进一步训... 详细信息

针对森林火灾数据维度高、易变性、可用信息少的问题,提出一种融合自动储备池神经网络(ARNN)与长短时记忆(LSTM)网络的森林火灾成灾面积预测方法。首先,根据森林火灾数据特征,基于ARNN随机生成权重;然后运用LSTM对随机权重进行进一步训练,以减少它的随机性带来的影响;最后以葡萄牙Montesinho国家森林公园的火灾数据集为例,验证所提ARNN-LSTM融合模型预测方法的合理性和有效性。实验结果表明,在平均百分比误差(MAPE)统计指标下,与目前流行的反向传播神经网络(BP-NN)、卷积神经网络(CNN)、LSTM和ARNN预测方法相比,融合ARNN和LSTM的森林火灾成灾面积预测方法的准确率分别提高了93.31%、47.74%、55.27%和9.39%。可见,所提方法能够高效地、较为精准地预测森林火灾成灾面积。

关键词：自动储备池神经网络长短时记忆网络火灾成灾面积预测时序预测储备池计算

1<α<2阶非线性分数阶微分方程解的渐近稳定性（英文）

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上海师范大学学报（自然科学版） 2015年第3期44卷 284-290页

作者：葛富东寇春海东华大学信息科学与技术学院上海201620 东华大学理学院上海201620

主要讨论了一类阶数为1<α<2的非线性分数阶微分方程解的渐近稳定性.这类方程首先被转化为带有分数次积分扰动的常微分方程,进而运用Banach压缩映照原理,建立了一些保证这类方程的解渐近稳定的充分条件,围绕非线性分数阶微分方程的稳定... 详细信息

主要讨论了一类阶数为1<α<2的非线性分数阶微分方程解的渐近稳定性.这类方程首先被转化为带有分数次积分扰动的常微分方程,进而运用Banach压缩映照原理,建立了一些保证这类方程的解渐近稳定的充分条件,围绕非线性分数阶微分方程的稳定性分析进行了新的尝试.最后通过举例说明该方法的有效性.

关键词：非线性分数阶微分方程 Banach压缩映照渐近稳定性

一类非齐次分数阶偏微分方程Cauchy问题

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应用数学与计算数学学报 2015年第2期29卷 127-135页

作者：葛富东寇春海东华大学信息科学与技术学院上海201620 东华大学理学院上海201620

运用Laplace-Fourier变换及其逆变换,对一类Caputo型非齐次分数阶偏微分方程Cauchy问题经典解的存在性进行研究,并分析此经典解的渐近行为.最后,通过数值举例来说明该方法的有效性.

关键词：非齐次分数阶偏微分方程存在性渐近性

α∈(1,2]阶的有限时滞半线性发展方程的近似可控性（英文）

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上海师范大学学报（自然科学版） 2017年第3期46卷 384-392页

作者：马赛赛寇春海葛富东东华大学理学院上海201620 东华大学信息学院上海201620

讨论了α∈(1,2]阶的有限时滞半线性发展方程的近似可控性.首先运用压缩映像原理证明了弱解的存在唯一性,进而在适当条件下运用α-阶强连续余弦族理论证明了系统的近似可控性.

关键词：近似可控性分数阶发展方程有限时滞 a-阶余弦族压缩映像原理

Mechanism investigation of PtPd decorated Zn_(0.5)Cd_(0.5)S nanorods with efficient photocatalytic hydrogen production combining with kinetics and thermodynamics

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Chinese Journal of Catalysis 2021年第10期42卷 1677-1688页

作者： Linhe Zhang fudong Zhang Huaqing Xue Jianfeng Gao Yong Peng Weiyu Song Lei ge State Key Laboratory of Heavy Oil Processing College of New Energy and MaterialsChina University of Petroleum BeijingBeijing 102249China Department of New Energy Research Institute of Petroleum Exploration&DevelopmentPetroChinaBeijing 100083China Department of Applied Chemistry College of ScienceChina University of Petroleum BeijingBeijing 102249China

Different components of PtPd bimetallic cocatalysts modified Zn_(0.5)Cd_(0.5)S nanorods have already been designed and prepared in this *** obtained hybrid photocatalysts were tested and characterized by XPS,ICP-OES and UV-Vis spectra,TEM and EDX *** characterizations can prove the formation of PtPd bimetallic alloy particles in hybrid *** visible light illumination,an outstanding hydrogen producing rate of 9.689mmol·g^(-1)·h^(-1) and a high AQY efficiency up to 10.43%at 420 nm are achieved in this *** addition,thermodynamics(DFT calculations)and kinetics(Photoluminescence emission,photocurrent responses,electrochemical impedance spectroscopy and surface photovoltage spectra)investigations illustrate that PtPd bimetallic alloy has similar catalytic thermodynamic properties to Pt,which can greatly boost the charge separation and speed up the charge transfer,and decrease the activation energy of H2 ***,the calculation data suggests that Pt is thermodynamically favorable,while PtPd alloy is kinetically beneficial to H_(2)production,which can be ascribed to the higher activity of PtPd/Zn_(0.5)Cd_(0.5)S than Pt/Zn_(0.5)Cd_(0.5)*** work can propose a fresh perspective for preparing high efficiency hybrid photocatalysts.

关键词： PtPd alloy Zn_(0.5)Cd_(0.5)S nanorods Photocatalytic hydrogen evolution DFT calculation

基于Unity3D的固定设施快速建模与交互系统设计与实现

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甘肃科技 2019年第3期35卷 26-28,16页

作者：王戈陈阜东张渡兵 78092部队

在对所使用的Unity3D引擎做简单介绍的基础上,主要针对固定设施快速建模方法进行阐述,结合实际工作要求短时大量不同类型固定设施模型构建及高效导入虚拟仿真引擎做了详细说明,在此基础上设计并实现了支持固定设施碰撞检测的三维交互系... 详细信息

在对所使用的Unity3D引擎做简单介绍的基础上,主要针对固定设施快速建模方法进行阐述,结合实际工作要求短时大量不同类型固定设施模型构建及高效导入虚拟仿真引擎做了详细说明,在此基础上设计并实现了支持固定设施碰撞检测的三维交互系统,为后期仿真实验奠定了基础。

关键词：快速建模 Unity3D 交互系统