Global Finite-Time Stabilization for a Class of Uncertain High-Order Nonlinear Systems by Jian Wang, Jing Xie, Fangzheng Gao

“…This paper addresses the problem of global finite-time stabilization by state feedback for a class of high-order nonlinear systems under weaker condition. By using the methods of adding a power integrator, a continuous state feedback controller is successfully constructed to guarantee the global finite-time stability of the resulting closed-loop system. …”
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Modeling and Analysis of Static and Dynamic Characteristics of Nonlinear Seat Suspension for Off-Road Vehicles by Zhenhua Yan, Bing Zhu, Xuefei Li, Guoqiang Wang

“…Results show that the stiffness of this nonlinear seat suspension could achieve real zero stiffness through well-matched parameters, and precompression of the main spring could change the nonlinear seat suspension performance when a driver’s weight changes. …”
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Fault diagnosis of nonlinear analog circuits using generalized frequency response function and LSSVM by Jialiang Zhang, Yaowang Yang

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Opposition-based particle swarm optimization with adaptive elite mutation and nonlinear inertia weight by Wen-yong DONG, Lan-lan KANG, Yu-hang LIU, Kang-shun LI

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Strauss’s Radial Compactness and Nonlinear Elliptic Equation Involving a Variable Critical Exponent by Masato Hashizume, Megumi Sano

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On the Solution of a Nonlinear Semidefinite Program Arising in Discrete-Time Feedback Control Design by El-Sayed M. E. Mostafa

“…A sequential quadratic programming method with line search is analyzed and studied for finding the local solution of a nonlinear semidefinite programming problem resulting from the discrete-time output feedback problem. …”
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Homotopy Perturbation Method for Solving Wave-Like Nonlinear Equations with Initial-Boundary Conditions by Afgan Aslanov

“…The homotopy perturbation method is employed to obtain approximate analytical solutions of the wave-like nonlinear equations with initial-boundary conditions. …”
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Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method by Asfaw Tsegaye Moltot, Alemayehu Tamirie Deresse

“…In this study, an efficient analytical method called the Sumudu Iterative Method (SIM) is introduced to obtain the solutions for the nonlinear delay differential equation (NDDE). This technique is a mixture of the Sumudu transform method and the new iterative method. …”
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Neural network wind speed prediction based on multiple prediction model and nonlinear combination by Jiajun WANG, Wei CAO, Guilong ZHANG, Huaizhi ZHANG, Zixing LING, Xiaoqiang ZHAO

“…For the problem of strong randomness in space-time characteristics of wind speed in complex mountains，in order to improve the accuracy of wind speed data prediction, a neural network wind speed prediction algorithm based on multi prediction model and nonlinear combination was proposed.In the first layer of the algorithm, the grey wolf optimizer (GWO) and the dynamic convergence factor were used to improve the whale optimization algorithm (WOA), and the improved WOA was applied to the updating process of BPNN weights and bias items.At the same time, the improved whale optimiza-tion algorithm of back propagation neural network (IWOABP), ELM and LSTM three complementary single methods were constructed to build a combination prediction method, and on this basis, the ELM mixing mechanism of the second layer of the algorithm was utilized to learn the relationship between the first layer and the final result in a non-linear way.Simulation results show that compared with BPNN, WNN and GWOBP, the proposed algorithm has lower prediction errors.…”
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Dynamics of a general model of nonlinear difference equations and its applications to LPA model by Wedad Albalawi, Fatemah Mofarreh, Osama Moaaz

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A New Family of Iterative Methods Based on an Exponential Model for Solving Nonlinear Equations by Tianbao Liu, Hengyan Li, Zaixiang Pang

“…We present two new families of iterative methods for obtaining simple roots of nonlinear equations. The first family is developed by fitting the model m(x)=epx(Ax2+Bx+C) to the function f(x) and its derivative f′(x), f″(x) at a point xn. …”
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Multiple Positive Solutions of Singular Nonlinear Sturm-Liouville Problems with Carathéodory Perturbed Term by Yuefeng Han, Xinguang Zhang, Lishan Liu, Yonghong Wu

“…This equation is viewed as a perturbation of the fourth-order Sturm-Liouville problem, where the perturbed term g:(0,1)×[0,+∞)×(-∞,+∞)→(-∞,+∞) only satisfies the global Carathéodory conditions, which implies that the perturbed effect of g on f is quite large so that the nonlinearity can tend to negative infinity at some singular points.…”
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Nonlinear Effects of Governmental and Civil Environmental Regulation on Green Total Factor Productivity in China by Xubin Lei, Shusheng Wu

“…This paper employs metafrontier Malmquist-Luenberger index to measure green total factor productivity and then builds panel model to investigate the nonlinear effects of both governmental and civil environmental regulation on green total factor productivity in 30 provinces of China in 2007–2016, where the threshold variables are environmental awareness and regulatory foundation. …”
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A New Hybrid Conjugate Gradient Projection Method for Solving Nonlinear Monotone Equations by Minglei Fang, Min Wang, Defeng Ding

“…In this study, we propose a new modified hybrid conjugate gradient projection method with a new scale parameter φk for solving large-scale nonlinear monotone equations. The proposed method includes two major features: projection techniques and sufficient descent property independent of line search technique. …”
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Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model by Adil Jhangeer, Beenish, Lubomír Říha

“…Runge–Kutta method is utilized to compute both super nonlinear and nonlinear wave solutions, with all solutions illustrated in the phase plane. …”
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Nonlinearity and Fractal Properties of Climate Change during the Past 500 Years in Northwestern China by Shiquan Wan, Qunqun Liu, Jianxin Zou, Wenping He

“…By using detrended fluctuation analysis (DFA), the present paper analyzed the nonlinearity and fractal properties of tree-ring records from two types of trees in northwestern China, and then we disclosed climate change characteristics during the past 500 years in this area. …”
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Gust Load Alleviation including Geometric Nonlinearities Based on Dynamic Linearization of Structural ROM by Chao An, Chao Yang, Changchuan Xie, Yang Meng

“…This paper describes a framework for an active control technique applied to gust load alleviation (GLA) of a flexible wing, including geometric nonlinearities. Nonlinear structure reduced order model (ROM) and nonplanar double-lattice method (DLM) are used for structural and aerodynamic modeling. …”
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The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations by Xiaofeng Zong, Fuke Wu, Chengming Huang

“…This paper considers hybrid nonlinear neutral stochastic functional differential equations (HNSFDEs) without the linear growth condition and examines the boundedness and exponential stability. …”
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State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays by Fangzheng Gao, Zheng Yuan, Fushun Yuan

“…This paper investigates the problem of state-feedback stabilization for a class of stochastic high-order nonlinear systems with time-varying delays. Under the weaker conditions on the power order and the nonlinear growth, by using the method of adding a power integrator, a state-feedback controller is successfully designed, and the global asymptotic stability in the probability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov-Krasovskii functional. …”
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Effect of nonlinearity of restrainer and supports on the elasto-plastic seismic response of continuous girder bridge by Wang Changfeng, Zhu Long, Chen Xingchong

“…During an earthquake, the nonlinearity of the bridge structure mainly occurs at the supports, bridge piers and restrainers. …”
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