Path Following Control of an AUV under the Current Using the SVR-ADRC by Zheping Yan, Yibo Liu, Jiajia Zhou, Di Wu

“…It is derived using SVR algorithm to adjust the coefficients of the nonlinear state error feedback (ELSEF) part in ADRC to deal with nonlinear variations at different operating points. …”
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Dynamic Characteristics of Metro Trains under Rescue Conditions by Ruiming Zou, Shihui Luo, Weihua Ma, Qing Wu

“…In order to study the dynamic characteristics of metro train under rescue conditions, a detailed dynamic model with different train formations is established, taking into account the characteristics of wheel-rail contact, nonlinear characteristics of suspension components, and nonlinear hysteresis characteristics of the draft gear systems. …”
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Comparison of Two Mechanics-Based Methods for Simplified Structural Analysis in Vulnerability Assessment by H. Crowley, B. Borzi, R. Pinho, M. Colombi, M. Onida

“…This paper looks at two mechanics-based vulnerability assessment methods (DBELA and SP-BELA) and compares the nonlinear static response predicted with these methods with finite elements-based nonlinear analyses of prototype buildings. …”
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Model Predictive Control for Load Frequency Control with Wind Turbines by Yi Zhang, Xiangjie Liu, Yujia Yan

“…The scheme incorporates the two critical nonlinear constraints, for example, the generation rate constraint (GRC) and the valve limit, into convex optimization problems. …”
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Large deflections of agglomerated carbon nanotubes reinforced sandwich cantilever beam partially embedded on foundation by Bui, Thi Thu Hoai, Tran, Thi Thu Huong, Pham, Vu Nam, Nguyen, Dinh Kien 

“…The sandwich beam is composed of a homogeneous core and composite face layers with effective moduli being estimated by Eshelby–Mori–Tanaka model. The nonlinear equilibrium equation is constructed using a first-order shear deformable nonlinear beam element and solved by the Newton–Raphson based iterative procedure. …”
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Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning Control by Xiongfeng Deng, Xiuxia Sun, Ri Liu, Shuguang Liu

“…The model of each agent includes time-varying nonlinear dynamic and external disturbance, where the time-varying nonlinear term satisfies the global Lipschitz condition and the disturbance term satisfies norm-bounded condition. …”
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Probability of Exceeding Damage States in Plates Using BEM by Ernesto Pineda-León, José Manuel Rosales-Juárez, Dante Tolentino, Orlando Susarrey-Huerta

“…An approach to obtain fragility curves taking into account the formulation for shear deformable plate theory with combined geometric and material nonlinearities and the boundary element method is proposed. …”
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Towards Human Capture Movement: Estimation of Anatomical Movements of the Shoulder by B. B. Salmerón-Quiroz, C. F. Mendez-Barrios, J. F. Guerrero-Castellanos, S. A. Rodriguez-Paredes, G. Villegas-Medina

“…The originality of this paper is to apply the discrete optimization to track the desired trajectory of a nonlinear system such as the Human Movement in the presence of uncertainties. …”
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Weighted Multimodel Predictive Function Control for Automatic Train Operation System by Shuhuan Wen, Jingwei Yang, Ahmad B. Rad, Shengyong Chen, Pengcheng Hao

“…Train operation is a complex nonlinear process; it is difficult to establish accurate mathematical model. …”
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Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling by Douglas Domingues Bueno, Luiz Carlos Sandoval Góes, Paulo José Paupitz Gonçalves

“…This work presents a strategy to control nonlinear responses of aeroelastic systems with control surface freeplay. …”
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Optimal Power Flow Algorithm Based on Second-Order Cone Relaxation Method for Electricity-Gas Integrated Energy Microgrid by Fan Zhang, Zhuzheng Shen, Wen Xu, Guofeng Wang, Biyi Yi

“…Due to the existence of nonlinear constraints, it is difficult to solve the power flow directly. …”
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State Identification of ECS Turbine Bearing Based on Fractal Dimension by Chenchen Li, Qingpeng Han, Rui Zhu, Qingyu Zhu

“…The experimental result shows that the correlation dimension, as nonlinear geometric invariants, can be used as the characteristic quantity of ECS turbine bearing on running state. …”
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Dynamics, Chaos Control, and Synchronization in a Fractional-Order Samardzija-Greller Population System with Order Lying in (0, 2) by A. Al-khedhairi, S. S. Askar, A. E. Matouk, A. Elsadany, M. Ghazel

“…The fractional-order case is shown to exhibit rich variety of nonlinear dynamics. Lyapunov exponents are calculated to confirm the existence of wide range of chaotic dynamics in this system. …”
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Model-Corrected Microwave Imaging through Periodic Wall Structures by Paul C. Chang, Robert J. Burkholder, John L. Volakis

“…A linear back-projection solution and a nonlinear minimization solution are applied to solve the inverse problem. …”
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Vibration Reduction for a Flexible Arm Using Magnetorheological Elastomer Vibration Absorber by Yushu Bian, Xuefeng Liang, Zhihui Gao

“…The application of the magnetorheological elastomer (MRE) to nonlinear vibration control for a flexible arm is investigated in this paper. …”
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Sign-changing and multiple solutions for the p-Laplacian by Siegfried Carl, Kanishka Perera

“…We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.…”
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Global Existence of the Higher-Dimensional Linear System of Thermoviscoelasticity by Zhiyong Ma

“…Using semigroup approach, we will establish the global existence of homogeneous, nonhomogeneous, linear, semilinear, and nonlinear, thermoviscoelastic systems.…”
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The Choquard Equation with Weighted Terms and Sobolev-Hardy Exponent by Yanbin Sang, Xiaorong Luo, Yongqing Wang

“…We study a nonlinear Choquard equation with weighted terms and critical Sobolev-Hardy exponent. …”
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The Variational Homotopy Perturbation Method for Solving ((n×n)+1) Dimensional Burgers’ Equations by F. A. Hendi, B. S. Kashkari, A. A. Alderremy

“…Some examples are examined to validate that the method reduced the calculation size, treating the difficulty of nonlinear term and the accuracy.…”
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Surfaces of a Constant Negative Curvature by G. M. Gharib

“…I study the geometric notion of a differential system describing surfaces of a constant negative curvature and describe a family of pseudospherical surfaces for the nonlinear partial differential equations with constant Gaussian curvature .…”
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