Analysis and Verification of Compound SRFPI-LADRC Strategy for an Off-Grid Single-Phase Inverter by Liaoyuan Lin, Haoda Li, Kai Zhu, Lingling Shi, Ping Li

“…The results show that the system achieves a small steady-state error, voltage tracking error, fast transient response, and low total harmonic distortion (THD) when feeding a highly nonlinear load.…”
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Model Averaging Estimation Method by Kullback–Leibler Divergence for Multiplicative Error Model by Wanbo Lu, Wenhui Shi

“…In simulations, we show that the KLMA estimator compares favorably with smooth-AIC estimator (SAIC), smooth-BIC estimator (SBIC), and Mallows model averaging estimator (MMA), especially when some nonlinear noise is added to the data generation process. …”
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Optimal Portfolio Selection of Mean-Variance Utility with Stochastic Interest Rate by Shuang Li, Shican Liu, Yanli Zhou, Yonghong Wu, Xiangyu Ge

“…By solving the corresponding nonlinear partial differential equations (PDEs) deduced from the extended HJB equation, the analytical solutions of the optimal investment strategies under time inconsistency are derived. …”
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Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation by Xiaoli Qiang, Kamran, Abid Mahboob, Yu-Ming Chu

“…We propose two numerical methods for approximating the solution of fractional-order linear and nonlinear Volterra integrodifferential equations. In our scheme, the inverse Laplace transform is approximated using a contour integration method and Stehfest method. …”
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On Parametric Gevrey Asymptotics for Some Cauchy Problems in Quasiperiodic Function Spaces by A. Lastra, S. Malek

“…We investigate Gevrey asymptotics for solutions to nonlinear parameter depending Cauchy problems with 2π-periodic coefficients, for initial data living in a space of quasiperiodic functions. …”
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Analysis of Coupling Characteristic of the Planetary Multi-stage Gear Transmission System by Wang Xin, Li Yousheng

“…Contrasted the bifurcation characteristics of the two-stage fixed-axis gear,the planetary gear transmission system and the planetary multi-stage gear transmission system to study the nonlinear coupling characteristics of the multi-stage gear system. …”
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APPLICATION OF GWO-SVM IN WIND TURBINE GEARBOX FAULT DIAGNOSIS by HU Xuan, LI Chun, YE KeHua

“…Aiming at the nonlinear and instability characteristics of the wind turbine gearbox bearing fault signal,a method based on the Fuzzy Entropy and Grey Wolf Optimizer Support Vector Machine（ GWO-SVM） for the fault diagnosis of gearbox was proposed in this paper. …”
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Set-Membership Estimation for Complex Networks Under FlexRay Protocol Based on the Proportional-Integral Observer With Probability Constraint by Chaochen Wang, Miaomiao Shi

“…This paper explores the design of proportional-integral observer (PIO) for a type of time-varying stochastic nonlinear complex networks in which the network dynamics are corrupted by the unknown but bounded noises. …”
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Image dehazing method based on haze-line and color attenuation prior by Miao LIAO, Yan LU, Jin ZHANG, Yuqian ZHAO, Shuanhu DI

“…To solve the problems caused by the existing image dehazing methods, such as color over-saturation, detail loss, and artifacts, a dehazing method was proposed based on haze-line and color attenuation prior.Firstly, haze-line prior and Hough vote were used to estimate the atmospheric light.Then, a nonlinear model on scene depth was constructed according to color attenuation prior theory to achieve transmission accurately.Finally, the haze was removed from the image by inversely solving the atmospheric scattering model, so as to obtain the dehazed image with rich details.The proposed method was tested on public RESIDE dataset in comparison with many existing methods.Experimental results show that the proposed method can effectively remove the haze from image and obtain a clear and natural dehazed image, which has higher time and space efficiency than other methods.…”
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Sampled-Data Consensus of Multi-Agent System in the Presence of Packet Losses by Xin Wang, Hui Wang, Junjian Huang, Jurgen Kurths

“…In line with this, a novel nonlinear function is introduced in the construction of the piecewise differentiable Lyapunov functions, and the Wirtinger inequality is applied as well. …”
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Fractional-Order Control of a Micrometric Linear Axis by Luca Bruzzone, Pietro Fanghella

“…The experimental results are coherent with the nonlinear model of the controlled system and confirm that the introduction of the half-derivative term is an interesting option for reducing the tracking error in the transient state.…”
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Dynamic Meshing Characteristic Analysis of Wind Power Planetary Gear Train by Yang Haiwan, Mutellip Ahmat, Zhao Yang

“…The dynamic meshing study is essential for the wind turbine which works in a harsh condition,especially,the gear train will be destructed by the time-varying load.Taking a wind turbine helical planetary gear train as study object,considering the influence of a variety of clearance and friction on meshing,a FEM model is built.By using the nonlinear dynamics method,the variation law of the gear tooth root bending stresses in the processing of the planet gear meshing with the sun gear or the internal gear is studied,the influence of the rotating speed on the meshing impact stresses is analyzed.Though the analyzing,with the speed increasing,the meshing stresses curve could get ahead,the impact stress of gear box and drive shaft will increase,while the curve of the impact stress are overall forward.However,the impact stress can’t always increase with the impact speed increasing.…”
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A Vieta–Lucas collocation and non-standard finite difference technique for solving space-time fractional-order Fisher equation by Mohd Kashif

“…By using the properties of Vieta–Lucas polynomials, this technique reduces the nonlinear equations into a system of ordinary differential equations (ODEs). …”
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Research of Transmission Error Modeling and Its Parameter Sensitivity of the Cable-driven Sheave by Xu Chuntian, Wang Peng

“…Then,in view of the complicated nonlinear relations between the parameters and transmission error of the cable-driven sheaves,a method for fitting data with an exponential curve is proposed,by which this model is simplified as relations between the transmission error and single factor. …”
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Adaptive Terminal Sliding Mode NDO-Based Control of Underactuated AUV in Vertical Plane by Wei Chen, Yanhui Wei, Jianhui Zeng, Han Han, Xianqiang Jia

“…Considering the complicated dynamics and kinematics model for underactuated AUV, a more simplified model is obtained based on assumptions. Then a nonlinear disturbance observer (NDO) is presented to estimate the external disturbance acting on AUV, and an adaptive terminal sliding mode control (ATSMC) based on NDO is applied to enhance the depth tracking performance of underactuated AUV considering both internal and external disturbance. …”
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Crack simulation for the cover of the landfill � A seismic design by Mehran Karimpour-Fard, Omer Mughieda, Filippo Berto, Nurmunira Muhammad

“…Rankine�s theory and the Phantom Node Method were used for the simulation length of the crack and the mechanism of the crack propagation in the nonlinear extended finite element method (NXFEM). Artificial Neural Networks (ANNs) based on Levenberg-Marquardt Algorithm and Abalone Rings Data Set mode were used to predict displacement in critical points of the model. …”
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Self-Organizing Adaptive Wavelet Backstepping Control Research for AC Servo System by Run-min Hou, Yuan-long Hou, Qiang Gao, Chao Wang

“…A novel self-organizing adaptive wavelet cerebellar model articulation controller backstepping (SOWCB) control is proposed, aiming at some nonlinear and uncertain factors that caused difficulties in controlling the AC servo system. …”
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Selecting the objective function during the inverse identification of the parameters of a material model of concrete by F. Hokes, J. Kala

“…The validity of this condition is also required when optimization algorithms are needed for the inverse identification of the unknown parameters of nonlinear material models of concrete, where experimentally measured load-displacement curves can be conveniently applied. …”
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Free Vibration and Hardening Behavior of Truss Core Sandwich Beam by J. E. Chen, W. Zhang, M. Sun, M. H. Yao

“…The dynamic characteristics of simply supported pyramidal truss core sandwich beam are investigated. The nonlinear governing equation of motion for the beam is obtained by using a Zig-Zag theory. …”
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Neutrosophic Number Optimization Models and Their Application in the Practical Production Process by Angyan Tu, Jun Ye, Bing Wang

“…Next, the two methods are applied to linear and nonlinear programming problems with neutrosophic number information to obtain the optimal solution of the maximum/minimum objective function under the constrained conditions of practical productions by neutrosophic number optimization programming (NNOP) examples. …”
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