Straight-Line Trajectory Tracking Control of Unmanned Sailboat Based on NMPC Velocity and Heading Joint Control by Kai Liu, Jiancheng Yu, Wentao Zhao

“…This study proposes a trajectory tracking approach for unmanned sailboats that integrates velocity and heading control using nonlinear model predictive control (NMPC). Unlike conventional methods, which typically rely on separate control strategies for maximum velocity and heading, this study employs a joint control framework based on NMPC. …”
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Relationships between Imperfections and Shear Buckling Resistance in Web Plate with Sectional Damage Caused by Corrosion by Jin-Hee Ahn, Shigenobu Kainuma, Won-Hong Lee, Youn-Ju Jeong, In-Tae Kim

“…To examine the imperfection effect on the shear buckling resistance of a web plate with sectional damage, a series of nonlinear finite element (FE) analyses were carried out for a web plate with sectional damage, which was assumed as local corrosion damage. …”
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Variable Torque Control of Offshore Wind Turbine on Spar Floating Platform Using Advanced RBF Neural Network by Lei Wang, Shan Zuo, Y. D. Song, Zheng Zhou

“…Aiming at the external disturbances and nonlinear uncertain dynamic systems of OFWT because of the proximity to load centers and strong wave coupling, this paper proposes an advanced radial basis function (RBF) neural network approach for torque control of OFWT system at speeds lower than rated wind speed. …”
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Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors by David Marcos-Andrade, Francisco Beltran-Carbajal, Alexis Castelan-Perez, Ivan Rivas-Cambero, Jesús C. Hernández

“…The proposed method is based on algebraic identification, known for its robust performance in both linear and nonlinear systems. In utilizing the mathematical model of a BLDC motor, a set of equations is derived to enable parameter estimation, assuming the availability of input and output measurements in open loop. …”
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Multiple Spacecraft Formation Flying Control around Artificial Equilibrium Point Using Propellantless Approach by Lei Zhao, Changqing Yuan, Xiaoming Li, Jingjiu He

“…Secondly, considering the external disturbances in the deep space environment, the nonlinear dynamic model of the spacecraft formation system based on the circular restricted three-body problem (CRTBP) is derived, under the assumption that the leader covers the nominal trajectory and each follower adjusts its propulsive acceleration vector (that is, both its sail attitude and electrostatic charge) in order to track a desired relative trajectory. …”
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Similarity Measure Learning in Closed-Form Solution for Image Classification by Jing Chen, Yuan Yan Tang, C. L. Philip Chen, Bin Fang, Zhaowei Shang, Yuewei Lin

“…Based on this similarity measure, we present a specific algorithm under the SML framework, called correlation similarity measure learning (CSML), to learn a parameterized similarity measure over input space. A nonlinear extension version of CSML, kernel CSML, is also proposed. …”
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Further Developments of Bessel Functions via Conformable Calculus with Applications by Mahmoud Abul-Ez, Mohra Zayed, Ali Youssef

“…Furthermore, we describe a useful scheme involving the collocation method to solve some conformable fractional linear (nonlinear) multiorder differential equations. Accordingly, several practical test problems are treated to illustrate the validity and utility of the proposed techniques and examine their approximate and exact solutions. …”
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Multi-Item Multiperiodic Inventory Control Problem with Variable Demand and Discounts: A Particle Swarm Optimization Algorithm by Seyed Mohsen Mousavi, S. T. A. Niaki, Ardeshir Bahreininejad, Siti Nurmaya Musa

“…While the objectives are to minimize both the total inventory cost and the required storage space, the model is formulated into a fuzzy multicriteria decision making (FMCDM) framework and is shown to be a mixed integer nonlinear programming type. In order to solve the model, a multiobjective particle swarm optimization (MOPSO) approach is applied. …”
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Influence of moving heat sources on thermoviscoelastic behavior of rotating nanorods: a nonlocal Klein–Gordon perspective with fractional heat conduction by Ahmed E. Abouelregal, M. Marin, Abdelaziz Foul, Sameh S. Askar

“…By integrating rotation, viscoelasticity, magnetic forces, and fractional heat conduction, the study developed a comprehensive nonlinear model of nanorod behavior. Numerical simulations demonstrated that fractional-order heat conduction and nonlocal elasticity significantly influenced the thermal and mechanical responses, reducing discrepancies in heat propagation predictions. …”
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Hybrid technique for multi-dimensional fractional diffusion problems involving Caputo–Fabrizio derivative by Surendar Kumar Yadav, Mridula Purohit, Murli Manohar Gour, Lokesh Kumar Yadav, Manvendra Narayan Mishra

“…The proposed approach combines the Shehu transformation (ST) with the Adomian decomposition method (ADM), employing Adomain polynomials to handle nonlinear terms. Fixed point theorem has been used to prove the uniqueness and existence of the solution of governing differential equation. …”
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The Imperative of Systems Thinking Approach in Driving Food Systems Transformation through Science and Innovation by Olanike K. Adeyemo FAS

“…These complexity means food systems exhibit unpredictable behaviour, with nonlinear change, tipping points, and unintended responses to shocks and interventions. …”
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Population pharmacokinetics of ramipril in patients with chronic heart failure: A real-world longitudinal study by Trobec Katja Čvan, Grabnar Iztok, Trontelj Jurij, Lainščak Mitja, Kos Mojca Kerec

“…Pharmacokinetics were assessed using a nonlinear mixed-effects parent-metabolite model comprising two compartments for ramipril and one compartment for ramiprilat. …”
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Near-Fault Ground Motion Impacts on High-Speed Rail Large-Span Continuous Girder Bridge considering Pile-Soil Interaction by Yefei Zhou, Gang Wang, Shuyi Yang, Niu Liu

“…Based on the p-y model for simulating pile-soil interaction, the moment-curvature analysis program XTRACT is used to calculate the moment and curvature of bridge piers and pile foundation sections, and the finite element (FE) software is used to establish two nonlinear global bridge models under seismic effects in the high-intensity zone, one considering pile-soil interaction and one without considering pile-soil interaction. …”
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A Lagrangian particle model for one-dimensional transient pipe flow with moving boundary by Yuejin Cai, Jianguo Wei, Qingzhi Hou, Huaicheng Fan, Arris S. Tijsseling

“…In this model, the meshless smoothed particle hydrodynamics (SPH) is used to approximate the spatial derivatives in the waterhammer equations, and the symplectic leap frog scheme is used for time integration. The nonlinear convective terms – which are mostly neglected in classical water hammer – are taken into account. …”
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Numerical Estimation of Effective Mechanical Properties for Reinforced Plexiglas in the Two-Dimensional Case by Vladimir Levin, Ignatiy Vdovichenko, Anatoly Vershinin, Maksim Yakovlev, Konstantin Zingerman

“…The obtained results allow one to estimate the influence of nonlinear effects upon the mechanical properties of the composite.…”
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Research on Vibration Characteristics of a Ceramic Spindle Based on the Reverse Magnetic Effect by Ke Zhang, Zinan Wang, Huaitao Shi, Xiaotian Bai, Zhan Wang

“…Using a Timoshenko beam unit to build the dynamic model for the ceramic spindle, the dynamic characteristic of an angular contact ball bearing is analyzed using a nonlinear bearing model. The electromagnetic magnetization model was established based on Maxwell’s theory to calculate electromagnetic magnetic density and radial force. …”
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Solution of Extraordinary Differential Equations with Physical Reasoning by Obtaining Modal Reaction Series by Shantanu Das

“…Mathematical modeling of many engineering and physics problem leads to extraordinary differential equations like Nonlinear, Delayed, and Fractional Order. An effective method is required to analyze the mathematical model which provides solutions conforming to physical reality. …”
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Optimization Method of Underwater Flapping Foil Propulsion Performance Based on Gaussian Process Regression and Deep Reinforcement Learning by YANG Yinghe, WEI Handi, FAN Dixia, LI Ang

“…In order to overcome the complexity and variability of underwater working environments, as well as the difficulty of controlling the flapping motion due to the significant nonlinear characteristics and numerous variables involved, a direct exploration approach is proposed to search for the optimal flapping foil propulsion parameters in the environment. …”
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Instability Condition Derivation for Hydraulic AGC System under Pressure Closed-Loop Control by Yong Zhu, Guangpeng Li, Shengnan Tang, Wanlu Jiang, Pengfei Qian, Zhi Zheng, Zhijian Zheng

“…Nevertheless, there is some difficulty in exploring the instability mechanism of the HAGC system due to the fact that the PCL is a representative nonlinear closed-loop control system. In this work, for each component of the HAGC system, the mathematical model was established. …”
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A Study on the Application of Two Different Material Constitutive Models Used in the FE Simulation of the Cyclic Plastic Behavior of a Steel Beam-Column T-Stub Connection by Wei Wang, Chenchen Zhang, Zeshen Li, Xuehong Gan

“…Seismic actions inevitably cause cyclic plastic deformations in steel frame connections, which is a common cause of failure in steel structures. Nonlinear finite element (FE) static analysis has been employed in the study of the cyclic plastic behavior of a T-stub connection based on the reported cyclic test on the corresponding extensively tested T-stub connection made of Q235 steel. …”
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