Exponential Synchronization of Chaotic Xian System Using Linear Feedback Control by J. Humberto Pérez-Cruz, Pedro A. Tamayo-Meza, Maricela Figueroa, Ramón Silva-Ortigoza, Mario Ponce-Silva, R. Rivera-Blas, Mario Aldape-Pérez

“…This controller requires knowing a priori Lipschitz constant of the nonlinear function of the chaotic system on its attractor. …”
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Command Filtering and Barrier Lyapunov Function-Based Adaptive Control for PMSMs with Core Losses and All-State Restrictions by Xiaoling Wang, Jinpeng Yu

“…To begin with, the RBF neural network technique is utilized to get close to the uncharted nonlinear terms which existed in PMSM’s mathematical model. …”
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Modal Perturbation Method for the Dynamic Characteristics of Timoshenko Beams by Menglin Lou, Qiuhua Duan, Genda Chen

“…In this approach, the differential equation of motion describing the dynamic behavior of the Timoshenko beam can be transformed into a set of nonlinear algebraic equations. Therefore, the solution process can be simplified significantly for the Timoshenko beam with arbitrary boundaries. …”
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A Mathematical Programming Approach for Joint Optimization of Wind Farm Layout and Cable Routing Based on a Three‐Dimensional Gaussian Wake Model by Ziwei Cao, Longwen Chen, Ke Li, Guoqing Huang, Ruili Liu

“…In this paper, we propose a novel nonlinear mathematical programming model based on the 3D Gaussian wake model and use a mathematical programming approach to optimize the layout of the wind farm and the cable layout together, considering both power generation and cable cost. …”
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Asymptotic stability analysis of a fractional epidemic model for Ebola virus disease in Caputo sense by Samson Olaniyi, Furaha M. Chuma, Sulaimon F. Abimbade

“… In this work, a non-integer-order epidemic system modelling the nonlinear dynamics of Ebola virus disease is formulated in the sense of Caputo-ractional derivative. …”
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A novel approach to $ \mathit{q} $-fractional partial differential equations: Unraveling solutions through semi-analytical methods by Khalid K. Ali, Mohamed S. Mohamed, M. Maneea

“…In this study, we solve linear and nonlinear $ \mathit{q} $-FPDEs and obtain the closed-form solutions, which confirm the validity of the utilized methods. …”
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Adaptive Fuzzy Path Tracking Control for Mobile Robots with Unknown Control Direction by Qifei Du, Lin Sha, Wuxi Shi, Liankun Sun

“…Nevertheless, the exact position of the center of mass is not easy to measure, thus WMRs is a typical uncertain nonlinear system with unknown control direction. Based on the fast terminal sliding mode control, an adaptive fuzzy path tracking control scheme is proposed for mobile robots with unknown control direction. …”
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Application of ABC-VMD and Envelope Spectrum Analysis in Gear Fault Diagnosis by Wangping Zhou, Rong Wang, Shenrong Xu

“…Aiming at the nonlinear and unsteady characteristics of gearbox fault， a parameter-optimized Variational mode decomposition （VMD） is proposed to extract the characteristic frequency. …”
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Multilevel Seismic Damage Behavior Correlation Analysis for RC Framed Structures by Jianguang Yue

“…Five structural levels, that is, material level, section level, member level, storey level, and structure level, were proposed to analyze the multilevel nonlinear mechanism of the reinforced concrete (RC) framed structures. …”
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Gearbox Fault Diagnosis based on LMD Approximate Entropy and PSO-ELM by Zhang Yuxue, Pan Hongxia

“…For the detection and identification problems of common faults in the use of gearbox,considering the nonlinear,non-stationary properties of the gearbox vibration response signal,a method for the gearbox fault diagnosis based on local mean decomposition（ LMD） approximate entropy and PSO-ELM is proposed.Firstly,the LMD decomposition method is used for gearbox vibration signal,with correlation coefficient method extracted the first four PF components which contain the main fault information. …”
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Computational Modelling of Blood Flow Development and Its Characteristics in Magnetic Environment by Gopal Chandra Shit

“…The governing coupled nonlinear differential equations of magnetohydrodynamic (MHD) fluid flow are reduced to a nondimensional form, which are then characterized by four dimensionless parameters. …”
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Relativistic Fermion on a Ring: Energy Spectrum and Persistent Current by Sumit Ghosh

“…The energy and persistent current spectra for a relativistic fermion on a ring are studied in detail. The nonlinear nature of persistent current in relativistic regime and its dependence on particle mass and ring radius are analysed thoroughly. …”
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Anti-Unwinding Attitude Control with Fixed-Time Convergence for a Flexible Spacecraft by Chutiphon Pukdeboon, Anuchit Jitpattanakul

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Dynamic and Contact Characteristic Analysis of Flexible Bearing of Harmonic Gear Drive based on Finite Element by Zhang Dongliang, Liu Fei

“…To the problems of flexible bearing has an important effect on the carrying capacity,transmission accuracy and life of the harmonic gear drive,a flexible bearing is regarded as the research object,the dynamic and contact characteristics of flexible bearing are analyzed based on ANSYS/LSDYNA nonlinear contact analysis method for comprehensive consideration of the factors such as bearing rotating speed,load and deformation and so on.The results show that the dynamic characteristics of flexible bearing outer ring in different positions are basically the same,the moved distance of rolling in long axis different distance is basic same,the velocity wave troughs alternating changes and the velocity decreases with increasing distance.The outer ring,rolling body stress concentrated near the long axis,stress wave troughs alternating changes,the stress value decreases away from the long axis;the rolling element and contact force on inner and outer is volatile,and basically the same with external load,and the keep contact force size is less volatile.…”
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A novel motion control approach for tethered wheeled mobile robot on extreme terrain by Xiaotao Wang, Xingyu Wang, Jiayou Zhang

“…In the proposed approach, the optimal distribution of the tether tension and the torque to drive the left and right wheels of the tethered robot is obtained based on the minimization of the system power consumption when the robot traveling on the extreme terrains. In addition, a nonlinear disturbance observer is integrated into the dynamic controller to estimate the disturbance from the rugged terrains. …”
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First-Train Timetable Synchronization in Metro Networks under Origin-Destination Demand Conditions by Hetian Chai, Xiaopeng Tian, Huimin Niu

“…Subjected to train operation and connection constraints, a biobjective nonlinear integer programming model is formulated to minimize the total travel time of OD-dependent passenger demands and the deviation between the known and expected schedules. …”
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Spectral study of COVID-19 pandemic in Japan: The dependence of spectral gradient on the population size of the community. by Ayako Sumi, Masayuki Koyama, Manato Katagiri, Norio Ohtomo

“…The results confirm that the power spectral densities (PSDs) of the data from each prefecture show exponential characteristics, which are universally observed in the PSDs of time series generated by nonlinear dynamical systems, such as the susceptible/exposed/infectious/recovered (SEIR) epidemic model. …”
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MAXIMUM POWEWR POINT TRACKING SYSTEM FOR PHOTOVOLTAIC STATION: A REVIEW by I. Elzein

“…Moreover, the solar cell V-I characteristic is nonlinear and varies with irradiation and temperature. …”
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Robust Finite-Time Tracking Control Based on Disturbance Observer for an Uncertain Quadrotor under External Disturbances by Hamid Hassani, Anass Mansouri, Ali Ahaitouf

“…A novel supertwisting nonsingular terminal sliding mode control (STNTSMC) has been developed to ensure that the tracking errors vanish in a short finite-time. A nonlinear disturbance observer (DO) is incorporated into the control system to estimate the unknown external perturbations and to strengthen the system’s robustness. …”
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Low complexity hybrid precoding algorithm for massive MIMO based on modified Newton method by Bo HU, Anding WANG, Guiyi WEI

“…A phase tracking algorithm was proposed for massivemultiple-input multiple-output(MIMO) systems based on the modified Newton (MN) method, which effectively reduced the high computational complexity in traditional high-performance hybrid precoding schemes.The algorithm optimized the analog precoding matrix from the perspective ofsub-dimensional vector recovery.In each sub-dimension optimization, the phase tracking method was used to transform the recovery of the analog precoding vectors into an unconstrained nonlinear optimization problem, which was then solved using the MN method.Concurrently, this strategy led to a marked reduction in the computational intricacy pertaining to both the computation of correction factors and the inversion of the Hessian matrix within the framework of the MN method.This was achieved through the insightful incorporation of Gerschgorin’s Disk theorem and the Hermitian matrix block-inverse lemma.Simulation results show that the proposed algorithm has higher spectral efficiency and lower computational complexity than several conventional high-performance hybrid precoding schemes.…”
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