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Adaptive learning nonsynchronous control of nonlinear hidden Markov jump systems with limited mode information 有限模态信息非线性隐马尔可夫跳变系统的自适应学习非同步控制
4区 数学 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.3934/era.2023340
Chao Ma, Hang Gao, Wei Wu

In this paper, an adaptive neural network learning based nonsynchronous control method is developed for hidden Markov jump systems with unmodeled nonlinear dynamics. In particular, the system modes are not directly accessible and the limited mode information can be partly estimated by the nonsynchronous controller. More precisely, the mode information with partly accessible transition rates is utilized based on the transition probability matrix. Moreover, the unmodeled nonlinear dynamics are more general in practical applications. Based on the designed mode-dependent controllers with mode observation, sufficient conditions are first exploited by means of the Lyapunov method, such that the desired control performance could be ensured in the mean-square sense. Then, the nonsynchronous mode-dependent controllers are further determined in terms of convex optimization. In the end, our proposed control strategy is applied to a robotic manipulator with varying loads to validate the feasibility with simulation results.

针对具有未建模非线性动力学的隐马尔可夫跳变系统,提出了一种基于自适应神经网络学习的非同步控制方法。特别是,系统模式不能直接访问,有限模式信息可以由非同步控制器部分估计。更精确地说,利用基于转移概率矩阵的部分可达转移率的模态信息。此外,未建模的非线性动力学在实际应用中更为普遍。在设计的具有模态观测的模态相关控制器的基础上,首先利用李雅普诺夫方法,利用充分条件,使控制性能在均方意义上得到预期的保证。然后,利用凸优化进一步确定非同步模式相关控制器。最后,将本文提出的控制策略应用于一个不同负载的机械臂上,并通过仿真结果验证了该控制策略的可行性。
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引用次数: 0
On the contribution of qualitative analysis in mathematical modeling of plasmid-mediated ceftiofur resistance 质粒介导的头孢替弗耐药性数学建模中定性分析的贡献
4区 数学 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.3934/era.2023337
Eduardo Ibargüen-Mondragón, M. Victoria Otero-Espinar, Miller Cerón Gómez

The acquisition of antibiotic resistance due to the consumption of food contaminated with resistant strains is a public health problem that has been increasing in the last decades. Mathematical modeling is contributing to the solution of this problem. In this article we performed the qualitative analysis of a mathematical model that explores the competition dynamics in vivo of ceftiofur-resistant and sensitive commensal enteric Escherichia coli (E. coli) in the absence and during parenteral ceftiofur therapy within the gut of cattle, considering the therapeutic effects (pharmacokinetics (PK)/pharmacodynamics (PD)) in the outcome of infection. Through this analysis, empirical properties obtained through in vivo experimentation were verified, and it also evidenced other properties of bacterial dynamics that had not been previously shown. In addition, the impact of PD and PK has been evaluated.

<abstract>< >由于食用被耐药菌株污染的食品而获得抗生素耐药性是一个在过去几十年中日益严重的公共卫生问题。数学建模有助于解决这个问题。在这篇文章中,我们对一个探讨竞争动态的数学模型进行了定性分析。对头孢噻肟耐药和敏感的肠道共生大肠杆菌;(E. coli)在牛肠道内不存在和肠外头孢替福治疗期间,考虑到治疗效果(<italic>药代动力学</italic>(PK) / & lt; italic> pharmacodynamics< / italic>(PD))在感染的结果。通过这一分析,通过<italic>in vivo</italic>实验得到了证实,它还证明了细菌动力学的其他特性,这些特性以前没有被证明过。此外,还对PD和PK的影响进行了评估。</p></abstract>
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引用次数: 0
Meet-in-the-middle differential fault analysis on Midori Midori的中接差动故障分析
4区 数学 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.3934/era.2023344
Chunyan An, Wei Bai, Donglei Zhang

Midori is a lightweight block cipher designed by Banik et al. and presented at the ASIACRYPT 2015 conference. According to the block size, it consists of two algorithms, denoted as Midori-64 and Midori-128. Midori generates 8-bit S-Boxes from 4-bit S-Boxes and applies almost MDS matrices instead of MDS matrices. In this paper, we introduce the meet-in-the-middle fault attack model in the 4-round cell-oriented fault propagation trail and reduce the key space in the last round by $ 2^{45.71} $ and $ 2^{39.86} $ for Midori-64 and Midori-128, respectively. For Midori-64, we reduce the time complexity from $ 2^{80} $ to $ 2^{28} $, $ 2^{32} $ and $ 2^{56} $ for the different single fault injection approaches. For Midori-128, we provide a 4-round fault attack method, which slightly increases the complexity compared to previous attacks. Our results indicate that the first and last four rounds of Midori must be protected to achieve its security.

< < >Midori是Banik等人设计的轻量级分组密码,并在ASIACRYPT 2015会议上发表。根据块大小分为两种算法,分别为Midori-64和Midori-128。Midori从4位s - box生成8位s - box,并几乎应用MDS矩阵而不是MDS矩阵。本文在4轮面向cell的故障传播轨迹中引入了中间相遇故障攻击模型,对Midori-64和Midori-128分别减少了最后一轮的密钥空间$ 2^{45.71}$和$ 2^{39.86}$。对于Midori-64,对于不同的单故障注入方法,我们将时间复杂度从$ 2^{80}$降低到$ 2^{28}$,$ 2^{32}$和$ 2^{56}$。对于Midori-128,我们提供了一个4轮的故障攻击方法,与之前的攻击相比,稍微增加了复杂度。我们的研究结果表明,为了实现Midori的安全性,必须对前四轮和后四轮进行保护。</p></abstract>
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引用次数: 0
Ensemble deep learning-based lane-changing behavior prediction of manually driven vehicles in mixed traffic environments 基于集成深度学习的混合交通环境下人工驾驶车辆变道行为预测
4区 数学 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.3934/era.2023315
Boshuo Geng, Jianxiao Ma, Shaohu Zhang

Accurately predicting lane-changing behaviors (lane keeping, left lane change and right lane change) in real-time is essential for ensuring traffic safety, particularly in mixed-traffic environments with both autonomous and manual vehicles. This paper proposes a fused model that predicts vehicle lane-changing behaviors based on the road traffic environment and vehicle motion parameters. The model combines the ensemble learning XGBoost algorithm with the deep learning Bi-GRU neural network. The XGBoost algorithm first checks whether the present environment is safe for the lane change and then evaluates the likelihood that the target vehicle will make a lane change. Subsequently, the Bi-GRU neural network is used to accurately forecast the lane-changing behaviors of nearby vehicles using the feasibility of lane-changing and the vehicle's motion status as input features. The highD trajectory dataset was utilized for training and testing the model. The model achieved an accuracy of 98.82%, accurately predicting lane changes with an accuracy exceeding 87% within a 2-second timeframe. By comparing with other methods and conducting experimental validation, we have demonstrated the superiority of the proposed model, thus, the research achievement is of utmost significance for the practical application of autonomous driving technology.

实时准确预测变道行为(车道保持、左变道和右变道)对于确保交通安全至关重要,特别是在自动和手动车辆混合交通环境中。提出了一种基于道路交通环境和车辆运动参数的车辆变道行为预测融合模型。该模型将集成学习XGBoost算法与深度学习Bi-GRU神经网络相结合。XGBoost算法首先检查当前环境是否适合变道,然后评估目标车辆变道的可能性。随后,利用Bi-GRU神经网络以变道可行性和车辆运动状态为输入特征,准确预测附近车辆的变道行为。利用高d轨迹数据集对模型进行训练和测试。该模型达到了98.82%的准确率,在2秒的时间内准确预测车道变化的准确率超过87%。通过与其他方法的比较和实验验证,我们证明了所提模型的优越性,因此,研究成果对自动驾驶技术的实际应用具有重要意义。
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引用次数: 0
Dynamical behavior of Benjamin-Bona-Mahony system with finite distributed delay in 3D 三维有限分布时滞Benjamin-Bona-Mahony系统的动力学行为
4区 数学 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.3934/era.20233348
Lingrui Zhang, Xue-zhi Li, Keqin Su

We study the Benjamin-Bona-Mahony model with finite distributed delay in 3D, which depicts the dispersive impact of long waves. Based on the well-posedness of model, the family of pullback attractors for the evolutionary processes generated by a global weak solution has been obtained, which is unique and minimal, via verifying asymptotic compactness in functional space with delay $ C_V $ and topological space $ Vtimes C_V $, where the energy equation method and a retarded Gronwall inequality are utilized.

< >< >我们研究了三维有限分布延迟的Benjamin-Bona-Mahony模型,该模型描述了长波的色散影响。在模型适定性的基础上,利用能量方程法和延迟Gronwall不等式,验证了具有延迟C_V $的泛函空间和拓扑空间V乘以C_V $上的渐近紧性,得到了由全局弱解生成的演化过程的拉回吸引子族的唯一性和极小性。
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引用次数: 0
Transition characteristics of the dynamic behavior of a vehicle wheel-rail vibro-impact system 车辆轮轨振动冲击系统动力学特性的过渡特性
4区 数学 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.3934/era.2023357
Yang Jin, Wanxiang Li, Hongbing Zhang

A two-degree-of-freedom vehicle wheel-rail impact vibration system model is developed, and the equivalent impact stiffness and damping of the rail are fitted applying ABAQUS, taking into account the high and low irregularity generated by the welded joints of the rail. A wheel-rail periodic interface with fixed impact was selected as the Poincaré map, and the fourth-order Runge-Kutta numerical method with variable step size was used to solve the system response. The dynamic characteristics of the system are investigated using a combination of the Bifurcation diagram, Phase plane diagram, the Poincaré map, the Time-domain diagram and the Frequency-domain diagram. It is verified that the vehicle wheel-rail impact vibration system has Hopf bifurcation, Neimark-Sacker bifurcation, Period-doubling bifurcation and Boundary crisis, and there are rich and complex nonlinear dynamic behavior changes. The research on the bifurcation and chaos characteristics of vehicle wheel-rail impact vibration systems can provide a reference for improving the stability of vehicle operation in engineering practice as well as the prediction and control of chaos in vehicle vibration reduction design.

& lt; abstract>建立了二自由度车辆轮轨冲击振动系统模型,考虑钢轨焊接接头产生的高低不规则性,应用ABAQUS拟合了钢轨的等效冲击刚度和阻尼;选取固定碰撞的轮轨周期界面作为庞卡罗图,采用变步长四阶龙格-库塔数值方法求解系统响应。采用分岔图、相平面图、庞卡罗图、时域图和频域图相结合的方法研究了系统的动态特性。验证了车辆轮轨碰撞振动系统存在Hopf分岔、neimmark - sacker分岔、倍周期分岔和边界危机,存在丰富而复杂的非线性动力学行为变化。研究车辆轮轨碰撞振动系统的分岔与混沌特性,可为工程实践中提高车辆运行的稳定性以及车辆减振设计中的混沌预测与控制提供参考。& lt; / abstract>
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引用次数: 0
Comprehensive operating efficiency measurement of 28 Chinese airports using a two-stage DEA-Tobit method 基于两阶段DEA-Tobit方法的中国28个机场综合运营效率测度
IF 0.8 4区 数学 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.3934/era.2023078
Ming Wei, Shao-yun Zhang, Bo Sun
This paper presents a two-stage method combining data envelopment analysis (DEA) and a Tobit model to analyze the comprehensive operating efficiency of 28 airports in China in 2016. At the first stage, the DEA-BCC (Banker-Charnes-Cooper) model was employed to obtain the comprehensive operating efficiency of the combination of flight departure punctuality, non-cancellations, landing bridge rates from the perspective of airport infrastructure, surrounding airspace, route layouts, flight volume and weather. At the second stage, a Tobit model was used to analyze the influence of nine input variables from four aspects on obtained comprehensive operating efficiency, ultimately providing a clear and straightforward basis for formulating and testing policies. The comprehensive operating efficiency with this combination was further compared with each of the three efficiencies respectively. The important findings included the following: (1) The comprehensive operation efficiencies of most airports were greater than the individual efficiency; (2) These four types of operation efficiencies for most airports did not achieved DEA validity (100% efficiency), except for six airports (i.e., Haikou, Dalian, Jinan, Fuzhou, Nanning and Lanzhou); (3) These factors affecting each of the four types of operation efficiencies were different in that the number of terminals, duration of impact and average daily inbound and outbound flights had a negative impact on airport operational efficiency, while the average number of overnight aircraft per day and peak hour sorties had positive effects.
本文采用数据包络分析(DEA)和Tobit模型相结合的两阶段方法,对2016年中国28个机场的综合运营效率进行了分析。第一阶段,采用DEA-BCC (Banker-Charnes-Cooper)模型,从机场基础设施、周边空域、航线布局、航班量和天气等角度,得到航班起飞正点率、不取消率、着陆桥率组合的综合运行效率。第二阶段采用Tobit模型,从四个方面分析9个输入变量对所获得的综合运营效率的影响,最终为政策的制定和检验提供清晰、直观的依据。并将该组合的综合运行效率分别与三种效率进行比较。研究发现:(1)大部分机场的综合运营效率大于单项运营效率;(2)除海口、大连、济南、福州、南宁、兰州6个机场外,其余机场的4类运营效率均未达到DEA有效性(100%效率);(3)影响四类运营效率的因素各不相同,航站楼数量、影响时间和日均进出港航班对机场运营效率有负向影响,日均过夜飞机数量和高峰小时架次对机场运营效率有正向影响。
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引用次数: 3
Edge detection of remote sensing image based on Grünwald-Letnikov fractional difference and Otsu threshold 基于gr<s:1> nwald- letnikov分数差和Otsu阈值的遥感图像边缘检测
IF 0.8 4区 数学 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.3934/era.2023066
Chao Chen, Hua Kong, Bin Wu
With the development of remote sensing technology, the resolution of remote sensing images is improving, and the presentation of geomorphic information is becoming more and more abundant, the difficulty of identifying and extracting edge information is also increasing. This paper demonstrates an algorithm to detect the edges of remote sensing images based on Grünwald–Letnikov fractional difference and Otsu threshold. First, a convolution difference mask with two parameters in four directions is constructed by using the definition of the Grünwald–Letnikov fractional derivative. Then, the mask is convolved with the gray image of the remote sensing image, and the edge detection image is obtained by binarization with Otsu threshold. Finally, the influence of two parameters and threshold values on detection results is discussed. Compared with the results of other detectors on the NWPU VHR-10 dataset, it is found that the algorithm not only has good visual effect but also shows good performance in quantitative evaluation indicators (binary graph similarity and edge pixel ratio).
随着遥感技术的发展,遥感图像的分辨率不断提高,地貌信息的呈现也越来越丰富,边缘信息的识别和提取难度也越来越大。提出了一种基于gr nwald - letnikov分数差和Otsu阈值的遥感图像边缘检测算法。首先,利用gr nwald - letnikov分数阶导数的定义,构造了一个四个方向上有两个参数的卷积差分掩模。然后,将掩模与遥感图像的灰度图像进行卷积,利用Otsu阈值进行二值化得到边缘检测图像。最后讨论了两个参数和阈值对检测结果的影响。与其他检测器在NWPU VHR-10数据集上的检测结果进行比较,发现该算法不仅具有良好的视觉效果,而且在定量评价指标(二值图相似度和边缘像素比)上也表现出良好的性能。
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引用次数: 0
Study on the storage stability performance enhancement mechanism of graphene on rubber-modified asphalt based on size effect 基于尺寸效应的石墨烯在橡胶改性沥青上储存稳定性性能增强机理研究
IF 0.8 4区 数学 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.3934/era.2023105
Yutong Xie, Yingli Gao, M. Liao, Weiwei Tian
The application of waste rubber powder (WRP) for asphalt pavement could achieve the harmless and resourceful utilization of solid waste, but the storage stability of waste rubber powder modified asphalt (RA) is one of the main problems restricting its application. Existing studies have demonstrated that graphene could enhance the storage stability of RA, but graphene's size effect on the modifying effect and its corresponding mechanism are still uncertain. In this research, the effects of graphene microstructural properties (i.e., molecular size and layer number) on the storage stability of RA were investigated by storage stability testing, dynamic shear rheometry (DSR) testing and fluorescence microscopy (FM) testing, in combination with molecular dynamics simulation (MD). The experimental results indicated that graphene improved the storage stability of RA significantly, with few-layer graphene being more effective in enhancing it. MD was used to investigate the graphene size effect on RA in compatibility, intermolecular binding energy and structural stability of the system. The simulation results revealed that small-sized graphene molecules were more compatible with RA. Meanwhile, few-layer, small-sized graphene can provide higher binding energy and better enhancement of storage stability of RA. The number of graphene layers mainly influences the binding energy rather than solubility parameters. The relative concentration distribution results demonstrated that graphene facilitated the spatial distribution of asphaltenes, rubber components and light components. This research provides theoretical support for the rational selection of microstructural properties of graphene to improve the modified asphalt storage stability performance.
废胶粉在沥青路面上的应用可以实现固体废物的无害化、资源化利用,但废胶粉改性沥青的贮存稳定性是制约其应用的主要问题之一。已有研究表明,石墨烯可以增强RA的储存稳定性,但石墨烯的尺寸效应对改性效果的影响及其机制尚不确定。本研究通过存储稳定性测试、动态剪切流变学(DSR)测试和荧光显微镜(FM)测试,结合分子动力学模拟(MD),研究了石墨烯微观结构特性(即分子大小和层数)对RA存储稳定性的影响。实验结果表明,石墨烯能显著提高RA的储存稳定性,且石墨烯层数少的效果更好。用MD研究了石墨烯尺寸对RA的相容性、分子间结合能和结构稳定性的影响。模拟结果表明,小尺寸的石墨烯分子与RA的相容性更好。同时,少层、小尺寸的石墨烯可以提供更高的结合能,更好地增强RA的储存稳定性。石墨烯层数主要影响结合能而非溶解度参数。相对浓度分布结果表明,石墨烯有利于沥青质、橡胶组分和轻质组分的空间分布。本研究为合理选择石墨烯的微观结构性质,提高改性沥青的储存稳定性性能提供了理论支持。
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引用次数: 0
Enterprise financialization and R&D innovation: A case study of listed companies in China 企业金融化与研发创新:以中国上市公司为例
IF 0.8 4区 数学 Q3 Mathematics Pub Date : 2023-01-01 DOI: 10.3934/era.2023124
Yue Liu, Jinzhi Liu, Lichang Zhang
In financial asset allocation, enterprises adjust their investment in R&D innovation according to their motives and the external environment. Based on a review of the literature related to enterprise financialization and R&D innovation, this paper proposes research hypotheses through theoretical analysis first; then, taking China's A-share non-financial listed companies from 2010 to 2019 as research objects, this paper explores the relationship between enterprise financialization and R&D innovation with a quantile panel data model; further, the heterogeneous relationship between the two under different business cycle phases is empirically analyzed. The following conclusions are drawn. First, there is a dynamic relationship between enterprise financialization and R&D innovation, varying with different financing constraints. Second, the dynamic relationship between enterprise financialization and R&D innovation stems from the motivation difference in enterprise asset allocation. Third, there are significant differences in the dynamic relationship at different business cycle phases.
在金融资产配置中,企业根据自身动机和外部环境调整研发创新投入。本文在对企业金融化与研发创新相关文献进行梳理的基础上,首先通过理论分析提出研究假设;然后,以2010 - 2019年中国a股非金融类上市公司为研究对象,采用分位数面板数据模型探讨企业金融化与研发创新的关系;进一步,实证分析了不同经济周期阶段下两者的异质关系。得出以下结论。首先,企业金融化与研发创新之间存在动态关系,且随着融资约束条件的不同而变化。第二,企业金融化与研发创新的动态关系源于企业资产配置的动机差异。第三,不同经济周期阶段的动态关系存在显著差异。
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引用次数: 14
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Electronic Research Archive
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