A Phenomenological Thermal-Mechanical Viscoelastic Constitutive Modeling for Polypropylene Wood Composites by Xiongqi Peng, Hongling Yin, Jun Chen, Xue Liu

“…Based on the Maxwell viscoelastic model, a nonlinear thermal-mechanical viscoelastic constitutive model is developed for the PP wood composite by decoupling the effect of temperature with that of the strain rate. …”
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Delay-Dependent Guaranteed Cost Controller Design for Uncertain Neural Networks with Interval Time-Varying Delay by M. Rajchakit, P. Niamsup, T. Rojsiraphisal, G. Rajchakit

“…A cost function is considered as a nonlinear performance measure for the closed-loop system. …”
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Physics-Informed Neural Network-Based Input Shaping for Vibration Suppression of Flexible Single-Link Robots by Tingfeng Li, Tengfei Xiao

“…The vibration suppression of flexible robotic arms is challenging due to their nonlinear spatiotemporal dynamics. This paper presents a novel physics-informed neural network (PINN)-based input-shaping method for the vibration suppression problem. …”
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Simulation of commutation process DC traction motor of quarry dump truck by V. V. Kharlamov, Yu. V. Moskalev, S. N. Naiden

“…The article considers a nonlinear multiple regression model based on which a model of the commutation process of the DC traction motor of a quarry dump truck. …”
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Numerical solutions for fractional optimal control problems using Mü‎‎‎‎‎‎‎ntz-Legendre polynomials by Mohammad Sahabi, Allahbakhsh Yazdani Cherati

“…Consequently, the fractional optimal control problem is transformed into a nonlinear programming problem through collocation points, yielding unknown coefficients. …”
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Accurate Parameter Estimation for Unbalanced Three-Phase System by Yuan Chen, Hing Cheung So

“…After converting the three-phase waveforms into a pair of orthogonal signals via the αβ-transformation, the nonlinear least squares (NLS) estimator is developed for accurately finding the frequency, phase, and voltage parameters. …”
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Existence and Uniqueness of Mild Solution for Fractional-Order Controlled Fuzzy Evolution Equation by Naveed Iqbal, Azmat Ullah Khan Niazi, Ramsha Shafqat, Shamsullah Zaland

“…In this article, we investigated the existence and uniqueness of mild solutions for fractional-order controlled fuzzy evolution equations with Caputo derivatives of the controlled fuzzy nonlinear evolution equation of the form  0cDIγxI=αxI+PI,xI+AIWI,I∈0,T,xI0=x0, in which γ∈0,1, E1 is the fuzzy metric space and I=0,T is a real line interval. …”
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Using Chebyshev’s polynomials for solving Fredholm integral equations of the second kind by José Antonio Ezquerro, Miguel Ángel Hernández-Verón

“…So, we present a strategy that consists of approximating the kernel of the nonlinear integral equation by a Chebyshev interpolation polynomial, which is separable. …”
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Optical Solutions of the Date–Jimbo–Kashiwara–Miwa Equation via the Extended Direct Algebraic Method by Ghazala Akram, Naila Sajid, Muhammad Abbas, Y. S. Hamed, Khadijah M. Abualnaja

“…In this study, the solutions of 2+1-dimensional nonlinear Date–Jimbo–Kashiwara–Miwa (DJKM) equation are characterized, which can be used in mathematical physics to model water waves with low surface tension and long wavelengths. …”
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Shaping Single Offset Reflector Antennas Using Local Axis-Displaced Confocal Quadrics by Rafael A. Penchel, José R. Bergmann, Fernando J. S. Moreira

“…This work investigates a novel numerical procedure for the solution of an exact formulation for the Geometrical Optics synthesis of a single reflector antenna by simultaneously imposing Snell’s Law and Conservation of Energy in a tube of rays, yielding a second-order nonlinear partial differential equation of Monge-Ampère type, which can be solved as a boundary value problem. …”
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A Mathematical Characterization for Patterns of a Keller-Segel Model with a Cubic Source Term by Shengmao Fu, Ji Liu

“…It is proved that, given any general perturbation of magnitude δ, its nonlinear evolution is dominated by the corresponding linear dynamics along a finite number of fixed fastest growing modes, over a time period of the order ln(1/δ). …”
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Autonomous Close Formation Flight Control with Fixed Wing and Quadrotor Test Beds by Caleb Rice, Yu Gu, Haiyang Chao, Trenton Larrabee, Srikanth Gururajan, Marcello Napolitano, Tanmay Mandal, Matthew Rhudy

“…This paper discusses the implementation and flight testing of nonlinear dynamic inversion (NLDI) controllers for close formation flight (CFF) using two distinct UAV platforms: a set of fixed wing aircraft named “Phastball” and a set of quadrotors named “NEO.” …”
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Multiple Model Adaptive Tracking Control Based on Adaptive Dynamic Programming by Kang Wang, Xiaoli Li, Yang Li

“…Adaptive dynamic programming (ADP) has been tested as an effective method for optimal control of nonlinear system. However, as the structure of ADP requires control input to satisfy the initial admissible control condition, the control performance may be deteriorated due to abrupt parameter change or system failure. …”
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The evolutionarydynamics of a population model with a strong Allee effect by Jim M. Cushing

“…An evolutionary game theoretic model for a population subject to predationand a strong Allee threshold of extinction is analyzed using, among othermethods, Poincaré-Bendixson theory. The model is a nonlinear, planeautonomous system whose state variables are population density and the meanof a phenotypic trait, which is subject to Darwinian evolution, thatdetermines the population's inherent (low density) growth rate (fitness). …”
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A simple model of the Draupner Wave Experiment by Graeme Hocking, Emma Nel, Alice Markham, Erick Mubai, Thama Duba, Samah Ali, Hloniphile Sithole Mthethwa, Morwakoma Matabane, Ndivhuwo Ndou, Katlego Sebogodi, Salma Ahmedai, Nyathi Freeman

“…There are a number of quite sophisticated models of these waves, but in this work we try to reproduce something like a rogue wave with a very simple free surface model, and in particular consider a wave generated in a circular tank by wave activity at the outer edge. Linear and nonlinear equations are derived and integrated to obtain the wave activity due to different generation mechanisms. …”
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Robust Position Control of PMSM Using Fractional-Order Sliding Mode Controller by Jiacai Huang, Hongsheng Li, YangQuan Chen, Qinghong Xu

“…The performance and robustness of the proposed method are analyzed and tested for nonlinear load torque disturbances, and simulation results show that the proposed algorithm is more robust and effective than the conventional SMC method.…”
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Simulation-based high-speed elongational rheometer for Carreau-type materials by Lukas Kannengießer, Walter Arne, Alexander Bier, Nicole Marheineke, Dirk W. Schubert, Raimund Wegener

“…The parametrically described material law for the elongational viscosity implies a nonlinear optimization problem for the parameter identification, for which we propose an efficient, robust gradient-based method. …”
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Economic-Oriented Stochastic Optimization in Advanced Process Control of Chemical Processes by László Dobos, András Király, János Abonyi

“…The concept is illustrated throughout by a well-known benchmark problem related to the control of a linear dynamical system and the model predictive control of a more complex nonlinear polymerization process.…”
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Research on Articulated Robot Control Based on High-order Internal Model Iterative Learning by Zhou Qinyuan, Hu Xianzhe

“…In view of the non-repetitive and nonlinear characteristics of the articulated robot system, it is proposed that a high-order internal model iterative learning control algorithm can be applied to the control of the articulated robot system. …”
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Kinematics Modeling and Analysis of a Quadruped Bionic Horse Robot Driven by a Cam-link Mechanism by Xu Yang, Ruolan Wang, Liangwen Wang, Liwei Li, Tuanhui Wang

“…The kinematics equations of each mechanism are established by loop vector method， and Newton iteration method is used to solve the nonlinear displacement equations. The Matlab is used to develop a unified program to solve the displacement， velocity and acceleration of the moving leg of the robot. …”
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