FSE-RBFNN-Based AILC of Finite Time Complete Tracking for a Class of Time-Varying NPNL Systems with Initial State Errors by Chunli Zhang, Lei Yan, Yangjie Gao

“…Addressing the difficulty of nonlinear parameterization terms in system models, a new function approximator (FSE-RBFNN) which is combined with radial basis function neural network (RBFNN) and Fourier series expansion (FSE) is introduced to model each time-varying nonlinear parameterization function. …”
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Analysis on Forced Vibration of Thin-Wall Cylindrical Shell with Nonlinear Boundary Condition by Qiansheng Tang, Chaofeng Li, Bangchun Wen

“…The nonlinear boundary was modeled as supported clearance in one end of shell and the restraint was assumed as linearly elastic in the radial direction. Based on Sanders’ shell theory, Lagrange equation was utilized to derive the nonlinear governing equations of cylindrical shell. …”
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Neural Network-Based Nonlinear Fixed-Time Adaptive Practical Tracking Control for Quadrotor Unmanned Aerial Vehicles by Jianhua Zhang, Yang Li, Wenbo Fei

“…First, by combining the radial basis function neural networks (NNs) with virtual parameter estimating algorithms, a NN adaptive control scheme is developed for UAVs. …”
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Dendrochronological analysis of coniferous trees in avalanche paths of Central Altai (Chuya River basin) by Nikolay I. Bykov, Natalia V. Rygalova, Anna A. Shigimaga

“…The performed dendrochronological analysis of the radial growth of coniferous trees in the avalanche paths of the Chuya River basin (Central Altai) has enabled to define the patterns of avalanche activity in the studied starting zones and the frequency of high-magnitude snow avalanches. …”
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Tolerance Fit Based Lubrication Clearance Design for Sliding Bearings in High Power Wind Turbine Gearboxes by Luo Yuan, Li Shengbo, Zhou Yinchun, Yuan Xiangfei, Hang Yulei, Savin·Leonid, Chen Zhaobo

“…The reasonable design of wind power sliding bearings is of particular importance in the increasingly widespread use of them in high-power wind turbine gearbox applications. The sliding bearing radial clearance (<italic>h</italic>₀) is a significant parameter that reflects the sliding bearing's performance. …”
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Redistribution of Nodes with Two Constraints in Meshless Method of Line to Time-Dependent Partial Differential Equations by Jafar Biazar, Mohammad Hosami

“…These avoid the ill-conditioning in applying radial basis functions. Moreover, to generate more smooth adaptive meshes another modification is investigated, such as using modified arc-length monitor function in Equidistribution algorithm. …”
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Research on Dynamic Characteristics of the Engine Front-end Accessory Drive System by Zheng Guangze, Yan Pengyuan, Wu Yu, Li Xiaofeng

“…Considering the effects of time-varying load, time-varying excitation, longitudinal stiffness, radial stiffness and bending stiffness of each pulley, the dynamic analysis model of the inner and outer engine front-end accessory drive system is established by Simdrive software. …”
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Modeling and Stochastic Model Updating of Bolt-Jointed Structure by Ming Zhan, Qintao Guo, Lin Yue, Baoqiang Zhang

“…A hierarchical model updating strategy based on Bayesian inference is applied to identify the unknown parameters in the substructures model and those in the overall model. Radial basis function (RBF) models are used as surrogates of time-consuming finite element model with high resolution to avoid the enormous computational cost. …”
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Constraints on the Dark Side of the Universe and Observational Hubble Parameter Data by Tong-Jie Zhang, Cong Ma, Tian Lan

“…Currently, there are two major methods of independent observational H(z) measurement, which we summarize as the “differential age method” and the “radial BAO size method.” Starting with fundamental cosmological notions such as the spacetime coordinates in an expanding universe, we present the basic principles behind the two methods. …”
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Analysis and Optimization of Machining Process of Thin-wall Gear Ring of Planetary Reducer by Bin Liu, Lilin Wei, Haodong Yang, Changfeng Yan, Fuqiang Ren, Wei Luo

“…Aiming at the requirements of large radial size， large load-bearing load and high precision of the thin-walled gear ring of a planetary reducer for a high-altitude rescue vehicle， the deformation of the thin-walled gear ring during processing and heat treatment is analyzed， and the cause of the deformation of the workpiece is found. …”
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Prescribed Performance Neural Control of Strict-Feedback Systems via Disturbance Observers by Wei Xiang, Guangkui Xu, Fang Zhu, Chunzhi Yang

“…To guarantee that the tracking error meets a design prescribed performance boundary (PPB) condition, an improved prescribed performance function is introduced. And radial basis function neural networks (RBFNNs) are used to approximate nonlinear functions, while second-order filters are employed to eliminate the “explosion-complexity” problem inherent in the existing method. …”
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A Mathematical Model for Peristaltic Transport of Micro-Polar Fluids by S. K. Pandey, Dharmendra Tripathi

“…A mathematical model has been constructed for peristaltic transport of micro-polar fluid in a circular cylindrical tube of finite length by letting sinusoidal waves propagate along the wall that induce contraction and relaxation but not expansion beyond the natural boundary. Axial and radial velocities and micro-rotation components are formulated for micro-polar fluid transportations by applying the method of long wavelength and low Reynolds number approximations in the analysis. …”
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Study on the Effect of the Groove Surface on Clutch Engagement Character by Chai Mengjiang

“…The compound groove texture can reduce vibration efficiently,radial groove texture can eliminate vibration efficiently,while the ring groove texture can’t reduce continuous vibration. …”
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Modeling of River Sediment Estimation Using Artificial Neural Network Method (Case Study: Vanai River) by Dariush Abolfathi, Aghil Madadi, Sayyad Asghari

“…In the following, multivariate linear regression, multilevel prefabricated neural network (MLP) and radial function-based neural network (RBF) models are used to model sediment estimation. …”
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An Algorithm Using DBSCAN to Solve the Velocity Dealiasing Problem by Wei Zhao, Qinglan Li, Kuifeng Jin

“…Velocity dealiasing is an essential task for correcting the radial velocity data collected by Doppler radar. To improve the accuracy of velocity dealiasing, traditional dealiasing algorithms usually set a series of empirical thresholds, combine three- or four-dimensional data, or introduce other observation data as a reference. …”
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Finite-Time Antisaturation Tracking Control for Hypersonic Vehicle with Uncertain Dynamics by Yuwei Cui, Yushan He, Aijun Li, Jun Li, Shuo Song

“…The minimum learning parameter algorithm based on a radial basis function is employed to approximate the unknown dynamics with low computational burden. …”
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Tooth Profile Modification Method and Life Prediction Analysis of Cup Type Harmonic Reducers by Mei Jie, Zhang Tong, Guo Zheng, Chen Dingfang, Wu Junfeng, Zhang Huiming, Hu Qunfei

“…The theory of the radial deformation generated by the assembly of the flexwheel and the wave generator of the cup harmonic reducer is inconsistent with the practice, and the tooth meshing interferes between the flexwheel and the rigid wheel. …”
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Doppler cross-correlation spectroscopy as a path to the detection of Earth-like planets by Mayor, Michel

“…This idea improved the efficiency of radial velocity measurements by a factor of over 1000. …”
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Determination of Damage in Reinforced Concrete Frames with Shear Walls Using Self-Organizing Feature Map by Mehdi Nikoo, Łukasz Sadowski, Faezehossadat Khademi, Mohammad Nikoo

“…The obtained model was compared with linear regression (LR) and nonlinear regression (NonLR) models and also the radial basis function (RBF) of a neural network. It was concluded that the SOFM, when optimized with the GA, has more strength, flexibility, and accuracy.…”
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Adaptive Neural Sliding Mode Control of Active Power Filter by Juntao Fei, Zhe Wang

“…A radial basis function (RBF) neural network adaptive sliding mode control system is developed for the current compensation control of three-phase active power filter (APF). …”
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