Robust Position Control of a Knee-Joint Rehabilitation Exoskeleton Using a Linear Matrix Inequalities-Based Design Approach by Sahar Jenhani, Hassène Gritli, Jyotindra Narayan

“…The robot’s dynamics are nonlinear, accounting for unknown parameters, solid and viscous frictions, and external disturbances. …”
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Location Design of Electric Vehicle Charging Facilities: A Path-Distance Constrained Stochastic User Equilibrium Approach by Wentao Jing, Kun An, Mohsen Ramezani, Inhi Kim

“…In the upper level, the objective is to maximize coverage of BEV flows by locating a given number of charging stations on road segments considering budget constraints. A mixed-integer nonlinear program is proposed to formulate this model. …”
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A Comparison of Simplified Modelling Approaches for Performance Assessment of Piles Subjected to Lateral Spreading of Liquefied Ground by Yung-Yen Ko, Yu-Ying Lin

“…The lateral spreading of the ground due to liquefaction during earthquakes may considerably damage the embedded piles, which is an important issue in the seismic design of pile foundations. In this paper, nonlinear pseudostatic analyses were performed for the responses of piles subjected to actions of laterally spreading ground, which were modelled as flow displacement and flow pressure, respectively. …”
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Droplet Size Spatial Distribution Model of Liquid Jets Injected into Subsonic Crossflow by Luhao Liu, Lijun Yang, Qingfei Fu

“…Results indicate that in the surface breakup region, the current model shows great consistency with experimental observations while there exists a relatively large discrepancy between the current model and experimental observation in the column breakup region because of its strong nonlinear effect near the breakup point. In addition, the effects of flow parameters on droplet size spatial distribution have been investigated.…”
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Prediction of Passive Torque on Human Shoulder Joint Based on BPANN by Shuyang Li, Paolo Dario, Zhibin Song

“…The results revealed that the BPANN can learn the nonlinear relationship between the passive torque and the position of the shoulder joint and can make an accurate prediction without the need to build a force distribution function in advance, making it possible to draw up an assist-as-needed strategy with high accuracy while reducing the measurement burden of patients and physiotherapists.…”
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Improved Fractional Order VSS Inc-Cond MPPT Algorithm for Photovoltaic Scheme by R. Arulmurugan, N. Suthanthiravanitha

“…The nature of solar modules is nonlinear and therefore the proper impedance matching is essential. …”
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An Attention Encoder-Decoder Dual Graph Convolutional Network with Time Series Correlation for Multi-Step Traffic Flow Prediction by Shanchun Zhao, Xu Li

“…Due to the complex and nonlinear nature of traffic flow time series, traditional methods of prediction tasks tend to ignore the heterogeneity and long series dependencies of spatio-temporal data. …”
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Long-Term Rainfall Information Forecast by Utilizing Constrained Amount of Observation through Artificial Neural Network Approach by Muhammed E. Akiner

“…Estimating models are becoming increasingly crucial in highlighting the nonlinear connections of the massive level of rough information and chaotic components. …”
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Study on Runoff and Climate Change Response of Upper and Middle Reaches of Xiuhe River Basin Based on SWAT Model by HUANG Yipeng, LIU Weilin, WAN Yifan, WEN Hongan, WU Bin, LIU Lina, ZHU Shengnan

“…Study on distributed hydrological simulation,model parameter sensitivity analysis and response of climate change to runoff are of important practical significance and scientific value for control of flood and drought disasters and distribution of water resources in the Xiuhe River Basin.Taking the upper and middle reaches of Xiuhe River Basin as research area,this paper builds the SWAT localization model to simulate runoff,and conducts the quantitative analysis on the response of runoff of Xiuhe River Basin to climate change with 55 climate scenarios (temperature increases or decreases 0~2℃,precipitation increases 0~60% or decreases 0~40%,respectively) as input of SWAT model.Results show that:In calibration period,the correlation coefficient R² is 0.87,and the Nash coefficient E_ns is 0.86,while,0.87 and 0.83 respectively in verification period,proving the high applicability of SWAT model in runoff simulation of Xiu River Basin;10% change of precipitation in Xiuhe River Basin has an impact on its runoff of 8.9%~10.7%;1℃ change of temperature has an impact on its runoff of only 0.3%~1.3%;precipitation is the main influencing factor of runoff change;after analyzing the climate scenario grid,when the precipitation is between -40% and +50%,the precipitation-temperature-runoff is basically linearly correlated,which can be presented by a plane function.In extreme precipitation cases,the relationship between temperature and runoff is nonlinear.…”
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A Hybrid Power Series Artificial Bee Colony Algorithm to Obtain a Solution for Buckling of Multiwall Carbon Nanotube Cantilevers Near Small Layers of Graphite Sheets by Aminreza Noghrehabadi, Mohammad Ghalambaz, Mehdi Ghalambaz, Afshin Ghanbarzadeh

“…A hybrid power series and artificial bee colony algorithm (PS-ABC) method is applied to solve a system of nonlinear differential equations arising from the distributed parameter model of multiwalled carbon nanotube (MWCNT) cantilevers in the vicinity of thin and thick graphite sheets subject to intermolecular forces. …”
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A New Local Modelling Approach Based on Predicted Errors for Near-Infrared Spectral Analysis by Haitao Chang, Lianqing Zhu, Xiaoping Lou, Xiaochen Meng, Yangkuan Guo, Zhongyu Wang

“…However, most chemical processes or analytes are multivariate and nonlinear in nature. To solve this problem, local errors regression method is presented in order to build an accurate calibration model in this paper, where a calibration subset is selected by a new similarity criterion which takes the full information of spectra, chemical property, and predicted errors. …”
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A generalized diffusion model for remaining useful life prediction with uncertainty by Bincheng Wen, Xin Zhao, Xilang Tang, Mingqing Xiao, Haizhen Zhu, Jianfeng Li

“…KF-EM-RTS can adaptively estimate and update unknown parameters, overcoming the limits of strong Markovian nature of diffusion model. Linear and nonlinear degradation datasets from real working environments are used to validate the proposed model. …”
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A physiologically-based pharmacokinetic model for the antibiotic ertapenem by Michele L. Joyner, Cammey C. Manning, Whitney Forbes, Michelle Maiden, Ariel N. Nikas

“…Furthermore, ertapenem is highly bound in human blood plasma; therefore, nonlinear binding is incorporated in the model since only the free portion of the drug can saturate tissues and, hence, is the only portion of the drug considered to be medicinally effective. …”
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Mathematical insights on psoriasis regulation: Role of Th1 and Th2 cells by Amit Kumar Roy, Priti Kumar Roy, Ellina Grigorieva

“…In this article, we have constructed a set of nonlinear differential equations involving the above cell population for better understanding the impact of cytokines on Psoriasis. …”
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Prebiotic Geochemical Automata at the Intersection of Radiolytic Chemistry, Physical Complexity, and Systems Biology by Zachary R. Adam, Albert C. Fahrenbach, Betul Kacar, Masashi Aono

“…Connectivity across multiple levels imparts the potential to create and maintain far-from-equilibrium chemical conditions and to manifest nonlinear system behaviors best approximated using automata formalisms. …”
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Response Analysis of the Free Field under Fault Movements by H. L. Qu, Y. Wu, B. K. Zhang, Q. D. Hu, Z. L. Xiao

“…A quasistatic simulation of highly nonlinear problems under fault movements was carried out using the EXPLICIT module of ABAQUS. …”
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Seismic Response Mitigation of a Long-Span Tower Bridge with Two Types of Constraint System by Li Xu, Qingfei Gao, Junhao Zheng, Chuanhui Ding, Kang Liu

“…In order to study the most suitable longitudinal damping mode for a long-span cable-stayed bridge. In this article, a nonlinear finite element model is established based on a large span concrete cable-stayed bridge with a main span of 680 m. …”
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Analysis of V2V Messages for Car-Following Behavior with the Traffic Jerk Effect by Tenglong Li, Fei Hui, Ce Liu, Xiangmo Zhao, Asad J. Khattak

“…The model parameters are calibrated, and the results show that the standard deviation between the new model simulation data and the observed data decreases by 38.2% compared to that of the full velocity difference (FVD) model. Linear and nonlinear analyses of the calibrated model are then carried out to evaluate the connected traffic flow stability. …”
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Derivation of CaO-SiO2-Al2O3system slag viscosity equation by GP by Ri S.-C., Ra J.-H., Ryom K.-C.

“…However, a slag viscosity model is difficult to exactly interpret as it has a strong nonlinear relation with its composition and temperature. …”
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Prediction Model of Minimum Void Ratio for Various Sizes/Shapes of Sandy Binary Mixture by Chaojie Shen, Zhaoyang Xu, Jie Yin, Jinfeng Wu

“…Based on a study of binary mixtures of natural sand from three different origins and iron particles of two different shapes, this paper analyzes the influence factors of the minimum void ratio, and a quadratic nonlinear model is proposed for estimating the minimum void ratio of binary mixture. …”
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