Islanding Detection for Microgrid Based on Frequency Tracking Using Extended Kalman Filter Algorithm by Bin Li, Jingpeng Wang, Hailong Bao, Huiying Zhang

“…Taylor series expansion was introduced to solve nonlinear state equations. In addition, a typical microgrid model was built using MATLAB/SIMULINK. …”
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Enhancing collapse performance of vulnerable RC frames through steel Bracing: A FEMA P695 methodology study by Ali Sadeghpour, Giray Ozay

“…Sixty archetypes undergo comprehensive analysis, including 15,800 nonlinear dynamic analyses to calculate collapse probabilities under total uncertainties. …”
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Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative by Xin Liu, Kamran, Yukun Yao

“…The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and in financial mathematics. …”
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Numerical Investigation of Carbon Fiber Reinforced Polymer Confined Concrete-Filled Steel Tube Columns under Eccentric Load by Brhanu Degefa Zewdu, Temesgen Wondimu Aure

“…This study presents a nonlinear finite element (FE) investigation of the effects of the thickness of Carbon Fiber Reinforced Polymer (CFRP), the thickness of steel tube, cross-sectional shape, and slenderness effect of an FRP confined concrete-filled steel tube (FCCFST) column under eccentric load. …”
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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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Numerical Simulations of the Square Lid Driven Cavity Flow of Bingham Fluids Using Nonconforming Finite Elements Coupled with a Direct Solver by R. Mahmood, N. Kousar, M. Yaqub, K. Jabeen

“…The discretized systems of nonlinear equations are treated by using the Newton method and the inner linear subproablems are solved by the direct solver UMFPACK. …”
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RESEARCH ON SENSOR TEMPERATURE COMPENSATION SYSTEM BASED ON IMPROVED RBF NEURAL NETWORK by SONG RuiJuan

“…Considering the current temperature compensation method is used to establish the temperature compensation model using intelligent algorithm,and use swarm intelligent optimization algorithm to optimize and improve the compensation precision,has good compensation effect for nonlinear sensor temperature drift,but for the low efficiency of this method has good linearity,and the use of linear least squares fitting method the routine can get better compensation effect,so this will be the least squares fitting method and RBF neural network model integration,a model of temperature compensation of pressure sensor,using ant colony algorithm to optimize the conventional RBF neural network,improve the performance of compensation model. …”
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Estimation of stationary and non-stationary moving average processes in the correlation domain. by Martin Dodek, Eva Miklovičová

“…This enables the derivation of a system of nonlinear equations to be solved for estimating the model parameters. …”
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Modeling and Estimation of Thermal Flows Based on Transport and Balance Equations by Angelo Alessandri, Patrizia Bagnerini, Roberto Cianci, Roberto Revetria

“…Toward this end, a method to construct nonlinear Lyapunov functionals is addressed by relying on a polynomial diagonal structure. …”
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EFFECTS OF FLEXIBLE SUPPORTING STRUCTURE AND WIND LOADS ON YAW BEARING’S LOAD DISTRIBUTION by DU Jing, GONG JiaYi, YANG XianGang

“…Subsequently,the Hertz contact model was adopted to validate the nonlinear contact of the ball to raceway. Finally,the effects of varying stiffness of the restraint system,tower wind load and other factors on the performance of the bearing load distribution were discussed. …”
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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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Robust MPPT Control of PMSG Wind Turbines Using Sliding Mode Control by Gezzaz Driss, Miqoi Sabah, El Ougli Abdelghani

“…However, due to the nonlinear nature of the system and the impact of external conditions, an effective control strategy is crucial. …”
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Dynamic Influence Prediction of Social Network Based on Partial Autoregression Single Index Model by Ya-hui Jia, Taotao Song, Shun-yao Wu, Qi Zhang, Yu-xia Su

“…In social network, it has been concluded that the microblog users influence and microblog grade are nonlinearly dependent. However, to the best of our knowledge, the nonlinear influence predication of social network has not been explored in the existing literature. …”
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PhD in Curriculum, Planning and Member of Research Institute of Education by Sayed Mohammad Hossein Hosseini

“…According to the research findings, chaos theory is the science of studying complex, dynamic, nonlinear, non-equilibrium systems, and complexity theory is the science of study, description, and explanation of the behavior of complex adaptive systems characterized by butterfly effect, unknown attractors, self-similarity, emergence, feedback loops, inequality, self-organization, nesting, networking, holism, nonlinearity, and unpredictability. …”
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Synchronous Reluctance Motor: Dynamical Analysis, Chaos Suppression, and Electronic Implementation by Balamurali Ramakrishnan, Andre Chéagé Chamgoué, Hayder Natiq, Jules Metsebo, Alex Stephane Kemnang Tsafack

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Neural Network Based Adaptive Backstepping Control for Electro-Hydraulic Servo System Position Tracking by Zhenshuai Wan, Longwang Yue, Yu Fu

“…The backstepping control is used to eliminate mismatched nonlinear terms and stabilize the system. The dynamic surface control (DSC) is adopted to handle the “explosion of complexity” problem of backstepping method and reduce the computational burden. …”
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Alternative transmission modes for Trypanosoma cruzi by Christopher M. Kribs-Zaleta

“…Analysis of the system of nonlinear differentialequations focuses on endemic prevalence levels and on the infection's basicreproductive number, whose form may account for how a combination oftraditionally secondary infection routes can maintain the transmission cyclewhen the usual primary route becomes ineffective.…”
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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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Large dynamic range microwave photonics mixing system based on parallel DPMZM by Yongsheng GAO, Fangjing SHI, Jiajun TAN, Yangyu FAN

“…To solve the problems of nonlinear distortion and limited dynamic range of microwave photonics mixing system, a large dynamic range microwave photonics mixing system based on parallel dual parallel Mach-Zehnder modulator (DPMZM) was proposed.The parallel modulation of radio frequency and local oscillator signals was realized by using DPMZM.The third-order intermodulation distortion (IMD3) in the output intermediate frequency signal was eliminated by configuring the electro-optic modulation index of the two parallel channels and the working point of the modulators.Finally, the dynamic range of the system was improved.Simulation results show that the proposed scheme can suppress IMD3 by 17.7 dB and increase the SFDR to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <mn>127.8</mn><mtext> dB</mtext><mo>·</mo><msup> <mtext>Hz</mtext> <mrow> <mfrac> <mn>4</mn> <mn>5</mn> </mfrac> </mrow> </msup> </math></inline-formula> .…”
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Solving “Antenna Array Thinning Problem” Using Genetic Algorithm by Rajashree Jain, G. S. Mani

“…From a mathematical perspective this is a nonlinear, multidimensional problem with multiple objectives and many constraints. …”
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