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关键词

Fitzhugh-Nagumo；混沌；分数阶；磁通量 1

MIMO雷达；波形设计；谱分解；分式二次约束二次规划 1

Mittag-Leffler稳定性；分数阶；四元数神经网络；脉冲 1

π-演算 1

主体 1

交换机 1

像融合；分数阶导数；直觉模糊集；多聚焦图像 1

共振能量转移 1

分数量子能级 1

分数阶微积分；分忆抗；分忆抗值；分数阶忆阻；分数阶记忆性突触 1

分数阶微积分；分数阶反向传播算法；分数阶最速下降法；均方误差；分数阶多尺度全局优化 1

分数阶离散系统；神经网络；DNA加密；彩色图像加密 1

分数阶系统；分岔图；分数PID控制器；陈氏多涡卷混沌系统；Genesio-Tesi混沌系统 1

分数阶系统；稳定性；中立时滞；鲁棒性；饱和性 1

到达曲线 1

化学量子能 1

双极板 1

可持续发展新型氢能源 1

可控性；分数阶阻尼系统；时变时滞；Gramian矩阵 1

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Robust switched fractional controller for performance improvement of single phase active power filter

H. AFGHOUL,F. KRIM,D. CHIKOUCHE,A. BEDDAR

《能源前沿（英文）》 2016年第10卷第2期页码 203-212 doi: 10.1007/s11708-015-0381-7

摘要： A novel controller is proposed to regulate the DC-link voltage of a single phase active power filter (SPAPF). The proposed switched fractional controller (SFC) consists of a conventional PI controller, a fractional order PI (FO-PI) controller and a decision maker that switches between them. Commonly, the conventional PI controller is used in regulation loops due to its advantages in steady-state but it is limited in transient state. On the other hand, the FO-PI controller overcomes these drawbacks but it causes dramatic degradation in control performances in steady-state because of the fractional calculus theory and the approximation method used to implement this kind of controller. Thus, the purpose of this paper is to switch to the PI controller in steady-state to obtain the best power quality and to switch to the FO-PI controller when external disturbances are detected to guarantee a fast transient state. To investigate the efficiency and accuracy of the SFC considering all robustness tests, an experimental setup has been established. The results of the SFC fulfill the requirements, confirm its high performances in steady and transient states and demonstrate its feasibility and effectiveness. The experiment results have satisfied the limit specified by the IEEE harmonic standard 519.

关键词： conventional PI controller fractional calculus (FC) total harmonic distortion (THD) Oustaloup continuous approximation (OCA) single phase active power filter (SPAPF)

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Fractional order extremum seeking approach for maximum power point tracking of photovoltaic panels

Ammar NEÇAIBIA,Samir LADACI,Abdelfatah CHAREF,Jean Jacques LOISEAU

《能源前沿（英文）》 2015年第9卷第1期页码 43-53 doi: 10.1007/s11708-014-0343-5

摘要： Due to the high interest in renewable energy and diversity of research regarding photovoltaic (PV) array, a great research effort is focusing nowadays on solar power generation and its performance improvement under various weather conditions. In this paper, an integrated framework was proposed, which achieved both maximum power point tracking (MPPT) and minimum ripple signals. The proposed control scheme was based on extremum-seeking (ES) combined with fractional order systems (FOS). This auto-tuning strategy was developed to maximize the PV panel output power through the regulation of the voltage input to the DC/DC converter in order to lead the PV system steady-state to a stable oscillation behavior around the maximum power point (MPP). It is shown that fractional order operators can improve the plant dynamics with respect to time response and disturbance rejection. The effectiveness of the proposed controller scheme is illustrated with simulations using measured solar radiation data.

关键词： extremum seeking (ES) fractional order control (FOC) fractional calculus photovoltaic (PV) panel maximum power point tracking (MPPT)

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基于队列智能方法的分数阶PIλDμ控制器设计 None

Pritesh SHAH, Sudhir AGASHE, Anand J. KULKARNI

《信息与电子工程前沿（英文）》 2018年第19卷第3期页码 437-445 doi: 10.1631/FITEE.1601495

摘要：近年来，队列智能方法逐步演变为一种基于人工智能的优化方法。本文首次采用队列智能方法对分数阶PID控制器的参数进行优化。验证了队列智能方法在分数阶PID控制器设计中的性能，并与其他方法如粒子群优化方法、遗传算法和改进的电磁算法等的性能进行比较。结果表明，与其它3种算法相比，队列智能方法在代价函数、计算时间和函数评估方面表现出更好性能。此外，队列智能方法对应的标准差表明，提出的方法在解决控制问题时具有鲁棒性。

关键词：队列智能；分数阶微积分；分数阶PID控制器；调节

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Stability analysis of slopes with planar failure using variational calculus and numerical methods

Norly BELANDRIA, Roberto ÚCAR, Francisco M. LEÓN, Ferri HASSANI

《结构与土木工程前沿（英文）》 2020年第14卷第5期页码 1262-1273 doi: 10.1007/s11709-020-0657-9

摘要： This study investigates the technique of variational calculus applied to estimate the slope stability considering the mechanism of planar failure. The critical plane failure surface should be determined because it theoretically indicates the most unfavorable plane to be considered when stabilizing a slope to rectify the instability generated by several statistically possible planes. This generates integrals that can be solved by numerical methods, such as the Newton Cotes and the finite differences methods. Additionally, a system of nonlinear equations is obtained and solved. The surface of the critical planar failure is determined by applying the condition of transversality in mobile boundaries, for which various examples are provided. The number of slices is varied in one of the examples, while the surface of the critical planar failure is determined in the others. Results are compared using analytical methods through axis rotations. All the results obtained by considering normal stress, safety factors, and critical planar failure are nearly the same; however, in this research, a study is carried out for “ ” number of slices using programming methods. Sub-routines are important because they can be applied in slopes with different geometry, surcharge, interstitial pressure, and pseudo-static load.

关键词： slopes stability planar failure variational calculus numerical methods

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Proteomics study of Mycoplasma pneumoniae pneumonia reveals the Fc fragment of the IgG-binding protein

《医学前沿（英文）》 2022年第16卷第3期页码 378-388 doi: 10.1007/s11684-021-0840-y

摘要： Macrolide and corticosteroid resistance has been reported in patients with Mycoplasma pneumoniae (MP) pneumonia (MPP). MP clearance is difficult to achieve through antibiotic treatment in sensitive patients with severe MPP (SMPP). SMPP in children might progress to airway remodeling and even bronchiolitis/bronchitis obliterans. Therefore, identifying serum biomarkers that indicate MPP progression and exploring new targeted drugs for SMPP treatment require urgency. In this study, serum samples were collected from patients with general MPP (GMPP) and SMPP to conduct proteomics profiling. The Fc fragment of the IgG-binding protein (FCGBP) was identified as the most promising indicator of SMPP. Biological enrichment analysis indicated uncontrolled inflammation in SMPP. ELISA results proved that the FCGBP level in patients with SMPP was substantially higher than that in patients with GMPP. Furthermore, the FCGBP levels showed a decreasing trend in patients with GMPP but the opposite trend in patients with SMPP during disease progression. Connectivity map analyses identified 25 possible targeted drugs for SMPP treatment. Among them, a mechanistic target of rapamycin kinase (mTOR) inhibitor, which is a macrolide compound and a cell proliferation inhibitor, was the most promising candidate for targeting SMPP. To our knowledge, this study was the first proteomics-based characterization of patients with SMPP and GMPP.

关键词： severe Mycoplasma pneumoniae pneumonia children proteomics Fc fragment of the IgG-binding protein mechanistic target of rapamycin kinase inhibitor

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交换式以太网NC建模与实时性能分析

王晓欣,刘鲁源,刘昆,马津艳

《中国工程科学》 2006年第8卷第6期页码 55-59

摘要：

交换式以太网的实时性能分析是工业以太网研究领域的一个热点课题，目前还没有一个有效的数学模型来对其进行描述。通过对典型交换机结构的分析，应用网络微积分理论建立了交换机的服务曲线模型，该模型将交换机中的数据流分为实时数据和非实时数据，并得到了最大延迟值和最大缓存需求值等，最大延迟为交换机的实时应用提供了理论边界值，最大缓存需求值为在实时工业环境中的交换机构建提供了理论参考。

关键词：网络微积分交换机到达曲线服务曲线延迟

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用于非线性混沌系统的基于分岔分数阶PID控制器设计方法 None

Karima RABAH, Samir LADACI, Mohamed LASHAB

《信息与电子工程前沿（英文）》 2018年第19卷第2期页码 180-191 doi: 10.1631/FITEE.1601543

摘要：提出一个新的鲁棒分数阶比例-积分-微分（FOPID）控制器，以其中一个不稳定的固定点来稳定一个扰动非线性混沌系统。基于使用分岔图的比例-积分-微分行为，分析非线性混沌系统的稳定性。提取控制器参数的初始集，其后续可通过二次准则优化。积分和微分分数阶也被二次准则识别。在两个非线性系统（陈氏多涡卷混沌系统和Genesio-Tesi混沌系统）中应用数值模拟，结果表明分数阶比例-积分-微分控制器在稳定非稳定固定点过程中，甚至在随机扰动情况下，能够提供最好的闭环系统性能。

关键词：分数阶系统；分岔图；分数PID控制器；陈氏多涡卷混沌系统；Genesio-Tesi混沌系统

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An improved method for image denoising based on fractional-order integration

Li Xu, Guo Huang, Qing-li Chen, Hong-yin Qin, Tao Men, Yi-fei Pu,huangguoxuli@163.com

《信息与电子工程前沿（英文）》 2020年第21卷第10期页码 1413-1534 doi: 10.1631/FITEE.1900727

摘要： Given that the existing methods damage the texture details of an image, a new method based on fractional integration is proposed. First, the formula is deduced by generalizing the , and then the approximate value of the operator is estimated by a numerical method. Finally, a mask operator of any order is constructed in eight pixel directions of the image. Simulation results show that the proposed method can protect the edge texture information of the image while removing the noise. Moreover, this method can obtain higher image feature values and better image vision after denoising than the existing denoising methods, because a mechanism is adopted during the iterative processing.

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一类分数阶多功能n阶蜂巢型RLC电路网络 Article

Ling ZHOU, Zhi-zhong TAN, Qing-hua ZHANG

《信息与电子工程前沿（英文）》 2017年第18卷第8期页码 1186-1196 doi: 10.1631/FITEE.1601560

摘要：研究了一类多功能n阶蜂巢型电阻网络模型，该问题一直未被解决。通过调节电路参数，该网络模型可以转化为含有多种功能的数个不同网络模型，例如一个规则的梯形网络、一个n阶三角形网络，等。我们导出了电阻网络的2个新的等效电阻公式，同时导出了LC网络的等效复阻抗公式，它们都属于分数阶范畴。首先，将一个复杂网络简化为一个简单的等效模型；其次，应用基尔霍夫定律，建立一个分式差分方程模型；再次，采用等效变换方法，给出非线性差分方程的通解。在实际应用中，获得了数个有趣的特殊结论。特别地，讨论分析了一个n阶LC复阻抗网络，发现了许多新的等效复阻抗特性。

关键词：蜂巢型网络；等效变换；分数阶差分方程；复阻抗特性

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Agent的PASS-BDI模型

樊玮,陈增强,袁著祉

《中国工程科学》 2004年第6卷第6期页码 43-49

摘要：

Agent的BDI模型主要基于Bratman提出的理性主体理论，未能充分体现Agent主动性的认知过程，使Agent的问题求解和心智状态之间的关系未得到充分表达，且难于编程实现。将Das等人提出的计划—注意—同时性加工—继时性加工认知过程模型引入Agent的理论研究中，建立了Agent的PASS-BDI模型，利用多价π-演算从心智状态，认知过程，整体行为等几个方面刻画了该模型的静态和动态特征，并将研究结果应用于多Agent组织中Agent行为特征的刻画。PASS-BDI模型加强了对Agent主动性认知过程的刻画，且易于编程实现。

关键词：主体 π-演算认知过程心智状态

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用改进的分数阶最速下降法训练分数阶全局最优反向传播机 Research Articles

蒲亦非1,王健2

《信息与电子工程前沿（英文）》 2020年第21卷第6期页码 809-962 doi: 10.1631/FITEE.1900593

摘要：本文介绍采用改进的分数阶最速下降法（FSDM）训练分数阶全局最优反向传播机。该反向传播机是一种分数阶反向传播神经网络（FBPNN）。分数阶反向传播神经网络是反向传播神经网络（BPNNs）大家族中一个先进的分数阶分支，它不同于绝大多数传统一阶最速下降法训练的经典一阶BPNNs。本文提出的FBPNN反向增量搜索在其均方误差近似分数阶偏导数的负方向进行。首先，从数学上描述用改进FSDM训练的FBPNN理论概念。然后，详细给出FBPNN分数阶全局最优收敛性的数学证明，分析神经网络结构构建以及分数阶多尺度全局寻优问题。最后，通过实验比较FBPNN和经典一阶BPNN的性能：包括函数逼近、分数阶多尺度全局寻优以及基于实际数据的全局搜索和误差拟合能力比对。相比经典一阶BPNN，FBPNN最主要优点是具有更高效的全局寻优能力，能够判定全局最优解。

关键词：分数阶微积分；分数阶反向传播算法；分数阶最速下降法；均方误差；分数阶多尺度全局优化

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整数阶与分数阶非连续外磁通量的神经元动力学 Regular Papers

Karthikeyan RAJAGOPAL, Fahimeh NAZARIMEHR, Anitha KARTHIKEYAN, Ahmed ALSAEDI, Tasawar HAYAT, Viet-Thanh PHAM

《信息与电子工程前沿（英文）》 2019年第20卷第4期页码 584-590 doi: 10.1631/FITEE.1800389

摘要：提出一种改进Fitzugh-Nagumo神经元（MFNN）模型。在此模型基础上，研究了基于整数阶（案例A）与分数阶（案例B）的MFNN系统。在电磁感应和辐射作用下，记忆和感应呈现多种分布，证明该分数阶磁通量适用于非均匀扩散。整数阶非连续磁通量MFNN系统具有混沌和非混沌吸引子。系统动力学分析显示倍周期的产生和消失标志着反单调性，神经元动力学研究未曾报道此现象。在分数阶非连续磁通量MFNN系统中，混沌吸引子和周期吸引子无反单调性。

关键词： Fitzhugh-Nagumo；混沌；分数阶；磁通量

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质子交换膜燃料电池的研究进展

任学佑

《中国工程科学》 2005年第7卷第1期页码 86-94

摘要：

论述了质子交换膜燃料电池的开发现状及国内外研究进展；同时介绍了趋于成熟的贮氢技术，包括质子交换膜、双极板、膜电极和电催化剂在内的关键技术、应用以及未来展望。

关键词：燃料电池质子交换膜双极板膜电极电催化剂开发现状

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输入时滞分数阶(0<α<1)奇异系统的观测器控制 Research Article

李丙新1,2,赵相飞1,2,张雪峰3,赵新1,2,4

《信息与电子工程前沿（英文）》 2022年第23卷第12期页码 1862-1870 doi: 10.1631/FITEE.2200294

摘要：本文研究输入时滞分数阶（0<α<1）奇异系统的观测器控制问题。基于史密斯预测器和逼近误差，有输入时滞的系统近似等价于无输入时滞的系统。进一步地，基于线性矩阵不等式方法，提出基于观测器控制的充要条件。该条件由于包含等式约束，因此是非严格线性矩阵不等式条件，在使用工具箱求解时会遇到一些麻烦。因此，本文改进了基于严格线性矩阵不等式的条件。最后，通过数值算例和直流电机实例说明了基于严格线性矩阵不等式的条件的有效性。

关键词：基于观测器的控制；奇异系统；分数阶；输入时滞；线性矩阵不等式

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Treatment technologies for aqueous perfluorooctanesulfonate (PFOS) and perfluorooctanoate (PFOA)

Chad D. VECITIS, Hyunwoong PARK, Jie CHENG, Brian T. MADER, Michael R. HOFFMANN

《环境科学与工程前沿（英文）》 2009年第3卷第2期页码 129-151 doi: 10.1007/s11783-009-0022-7

摘要： Fluorochemicals (FCs) are oxidatively recalcitrant, environmentally persistent, and resistant to most conventional treatment technologies. FCs have unique physiochemical properties derived from fluorine which is the most electronegative element. Perfluorooctanesulfonate (PFOS), and perfluorooctanoate (PFOA) have been detected globally in the hydrosphere, atmosphere and biosphere. Reducing treatment technologies such as reverses osmosis, nano-filtration and activated carbon can? remove ?FCs ?from ?water. ?However,? incineration ?of the concentrated waste is required for complete FC destruction. Recently, a number of alternative technologies for FC decomposition have been reported. The FC degradation technologies span a wide range of chemical processes including direct photolysis, photocatalytic oxidation, photochemical oxidation, photochemical reduction, thermally-induced reduction, and sonochemical pyrolysis. This paper reviews these FC degradation technologies in terms of kinetics, mechanism, energetic cost, and applicability. The optimal PFOS/PFOA treatment method is strongly dependent upon the FC concentration, background organic and metal concentration, and available degradation time.

关键词： fluorochemical (FC) degradation technologies perfluoroctanesulfonate (PFOS) perfluorooctanoate (PFOA) oxidation reduction photolysis thermolysis review