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Journal articles on the topic 'Linearized model'

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1

BALAFOUTIS, C. A., and R. V. PATEL. "LINEARIZED ROBOT MODELS IN JOINT AND CARTESIAN SPACES." Transactions of the Canadian Society for Mechanical Engineering 13, no. 4 (1989): 103–12. http://dx.doi.org/10.1139/tcsme-1989-0017.

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In this paper, linearization of the Newton-Euler formulation of robot dynamics is considered, and linearized robot models in joint and Cartesian spaces are presented. A new computational method for recursive evaluation of linearized dynamic robot models, about a nominal trajectory is given. The proposed algorithms are designed to evaluate the “sensitivity matrices” necessary to determine the linearised robot models and can be implemented numerically or symbolically. To achieve an efficient formulation for the coefficient sensitivity matrices, concepts from tensor algebra are used. A numerical
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2

Xian, Ning, and Zhilong Chen. "A Quantum-behaved Pigeon-Inspired Optimization approach to Explicit Nonlinear Model Predictive Controller for quadrotor." International Journal of Intelligent Computing and Cybernetics 11, no. 1 (2018): 47–63. http://dx.doi.org/10.1108/ijicc-06-2017-0058.

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Purpose The purpose of this paper is to simplify the Explicit Nonlinear Model Predictive Controller (ENMPC) by linearizing the trajectory with Quantum-behaved Pigeon-Inspired Optimization (QPIO). Design/methodology/approach The paper deduces the nonlinear model of the quadrotor and uses the ENMPC to track the trajectory. Since the ENMPC has high demand for the state equation, the trajectory needed to be differentiated many times. When the trajectory is complicate or discontinuous, QPIO is proposed to linearize the trajectory. Then the linearized trajectory will be used in the ENMPC. Findings A
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3

Ogbikaya, Stephen, and M. Iqbal. "Reduced Order Model of A Microgrid System for A University Community in Nigeria." Jordan Journal of Electrical Engineering 8, no. 3 (2022): 266. http://dx.doi.org/10.5455/jjee.204-1653940509.

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This paper presents a reduced order model of a microgrid system for a university community in Nigeria. The designed microgrid system is simulated in MATLAB/Simulink environment to determine the system dynamics. The obtained dynamic system is then reduced to a single block subsystem with multiple inputs and a single output using system linearization. The microgrid model is then linearized with the aid of linearization tool in MATLAB/Simulink using linearized perturbation method. The transfer function of the multiple inputs with respect to the single output of the microgrid system is determined
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4

Murray, J. J., and C. P. Neuman. "Linearization and Sensitivity Models of the Newton-Euler Dynamic Robot Model." Journal of Dynamic Systems, Measurement, and Control 108, no. 3 (1986): 272–76. http://dx.doi.org/10.1115/1.3143779.

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Within the framework of the Newton-Euler formulation of robot dynamics, linearized and trajectory sensitivity models are constructed about a nominal trajectory. The approach illustrates the property that linearization of the O(N) recursive Newton-Euler formulation leads to O(N) recursive algorithms. These algorithms are conceived for simulation, parameter identification, and real-time control applications which require the numerical evaluation of the linearized or trajectory sensitivity models. The O(N) linearized recursive algorithms complement their O(N5) linearized Lagrange (Lagrange-Euler)
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5

Jiang, Ping, Tianyi Zhang, Jinpeng Geng, Peiguang Wang, and Lei Fu. "An MPPT Strategy for Wind Turbines Combining Feedback Linearization and Model Predictive Control." Energies 16, no. 10 (2023): 4244. http://dx.doi.org/10.3390/en16104244.

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This paper proposes a model predictive controller (MPC) design based on the optimal tip-speed ratio method for maximum power point tracking (MPPT) of a direct-driven permanent magnet synchronous generator (D-PMSG)-based wind energy conversion system (WECS). To eliminate system nonlinearity and time-varying characteristics, a control variable was added at the wind turbine and the system model was feedback-linearized to create a linear time-invariant system, reducing the computational burden of the MPC and improving system performance. MATLAB/Simulink simulations were performed and the results s
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6

Bourchtein, Andrei, and Ludmila Bourchtein. "On separation of variables in the linearized nonhydrostatic atmospheric model." Meteorologische Zeitschrift 25, no. 1 (2016): 79–84. http://dx.doi.org/10.1127/metz/2015/0690.

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7

Nwoko, Christopher Ikpe Amadi, Amarachi Udoka Nkwoada, and Peterclever Chidi Ihuoma. "Novel Linearized Kinetic Modeling of Starch Hydrolysis." Chemical Science International Journal 19, no. 3 (2017): 1–7. https://doi.org/10.9734/CSIJ/2017/34116.

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The hydrolysis of starch into glucose by acid and enzyme techniques has recorded higher glucose recovery and optimization of processes, but lacks the fitting of the results into a kinetic linear model. The application of kinetic linearized model effect of temperature on pH and acid concentration during hydrolysis of starch into glucose was studied. The experiment was conducted at different durations using reported preparatory techniques and average values of triplicates were reported. The maximum glucose yield of 18.20 mg/ml was observed on 4 hours at 60°C from acid hydrolysis and similarly ob
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8

Bak, Jimmy, and Anders Larsen. "Quantitative Gas Analysis with FT-IR: A Method for CO Calibration Using Partial Least-Squares with Linearized Data." Applied Spectroscopy 49, no. 4 (1995): 437–43. http://dx.doi.org/10.1366/0003702953964237.

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Calibration spectra of CO in the 2.38–5100 ppm concentration range (22 spectra) have been measured with a spectral resolution of 4 cm−1, in the mid-IR (2186–2001 cm−1) region, with a Fourier transform infrared (FT-IR) instrument. The multivariate calibration method partial least-squares (PLS1) was used to model the CO calibration spectra in order to improve the sensitivity and to flag possible outliers in the prediction step. The relation between the absorbance values and concentrations was strongly nonlinear. This result was caused mainly by the low spectral resolution of the instrument. To i
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9

Kozak, Kris, Imme Ebert-Uphoff, and William Singhose. "Locally Linearized Dynamic Analysis of Parallel Manipulators and Application of Input Shaping to Reduce Vibrations." Journal of Mechanical Design 126, no. 1 (2004): 156–68. http://dx.doi.org/10.1115/1.1640362.

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Input Shaping is a technique that seeks to reduce residual vibrations through modification of the reference command given to a system. Namely the reference command is convolved with a suitable train of impulses. Input shaping has proven to be successful in reducing the vibrations of a great variety of linear systems. This article seeks to apply input shaping to robotic manipulators of parallel architecture. Such systems have multiple degrees-of-freedom and non-linear dynamics and therefore standard input shaping techniques cannot be readily applied. In order to apply standard input shaping tec
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10

DANANI, A., and P. ZANARDI. "AUXILIARY FERMION LINEARIZED t-J MODEL." Modern Physics Letters B 09, no. 30 (1995): 1873–86. http://dx.doi.org/10.1142/s0217984995001856.

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The Auxiliary Fermion linearization scheme is applied to the ferromagnetic t-J model. Spectrum and self-consistency equations are obtained. The numerical analysis shows the existence of solutions describing metallic as well as magnetic phases of different kind. Their interplay is discussed.
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11

Geetha Devi, C. E., and R. Devanathan. "Computer simulation of linearized Statcom model." Materials Today: Proceedings 33 (2020): 4243–49. http://dx.doi.org/10.1016/j.matpr.2020.07.349.

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12

Korobkin, Alexander A. "A linearized model of water exit." Journal of Fluid Mechanics 737 (November 25, 2013): 368–86. http://dx.doi.org/10.1017/jfm.2013.573.

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AbstractA model of hydrodynamic loads acting on a rigid floating body during the lifting of the body from the liquid surface is presented. The liquid is of infinite depth, inviscid and incompressible. Initially the liquid is at rest. The body suddenly starts to move upwards from the liquid at a constant acceleration. Boundary conditions on the liquid surface are linearized and imposed on the equilibrium position of the liquid surface. The resulting boundary problem is solved by the methods of analytical functions. Negative pressures are allowed and the pressure is assumed continuous at the per
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13

Feng, Aifen, Xiaogai Chang, Jingya Fan, and Zhengfen Jin. "Application of LADMM and As-LADMM for a High-Dimensional Partially Linear Model." Mathematics 11, no. 19 (2023): 4220. http://dx.doi.org/10.3390/math11194220.

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This paper mainly studies the application of the linearized alternating direction method of multiplier (LADMM) and the accelerated symmetric linearized alternating direction method of multipliers (As-LADMM) for high dimensional partially linear models. First, we construct a l1-penalty for the least squares estimation of partially linear models under constrained contours. Next, we design the LADMM algorithm to solve the model, in which the linearization technique is introduced to linearize one of the subproblems to obtain an approximate solution. Furthermore, we add the appropriate acceleration
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14

Kaikkonen, P., and S. P. Sharma. "A comparison of performances of linearized and global nonlinear 2-D inversions of VLF and VLF-R electromagnetic data." GEOPHYSICS 66, no. 2 (2001): 462–75. http://dx.doi.org/10.1190/1.1444937.

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The performances of linearized (local) and global nonlinear joint 2-D inversions of very low frequency (VLF) and VLF resistivity electromagnetic measurements are analyzed. A stable iterative inversion scheme is used in linearized inversion while the very fast simulated annealing approach is used in global nonlinear inversion. Synthetic noise‐free and noisy data due to three different models in complexity and two field examples are considered. Synthetic examples show that linearized inversion reveals the subsurface structure better than global nonlinear inversion provided the model has only a f
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15

Shiiba, Taichi, Kotaro Obana, and Naoya Machida. "Comparison of linearized vs. non-linearized multibody vehicle model for real-time simulation." International Journal of Non-Linear Mechanics 53 (July 2013): 32–40. http://dx.doi.org/10.1016/j.ijnonlinmec.2013.01.021.

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16

Metodiev, Konstantin. "FLIGHT DYNAMICS MODEL OF A LARGE TRANSPORT AIRCRAFT." Aerospace Research in Bulgaria 37 (2025): 127–36. https://doi.org/10.3897/arb.v37.e12.

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In presented paper, linearized and nonlinear mathematical models of three-dimensional motion of Douglas DC-8-63 transport aircraft are considered. A source code was developed in GNU Octave environment by means of which serial computations were made for impulse deviations of elevator and ailerons. The results obtained from both the linearized and the non-linear model are shown graphically, compared, and commented.
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17

Ciușdel, C. F., S. Coman, Cr Boldișor, et al. "Effect of Linearization in a WNT Signaling Model." Computational and Mathematical Methods in Medicine 2019 (June 10, 2019): 1–9. http://dx.doi.org/10.1155/2019/8461820.

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A nonlinear model consisting of a system of coupled ordinary differential equations (ODE), describing a biological process linked with cancer development, is linearized using Taylor series and tested against different magnitudes of input perturbations, in order to investigate the extent to which the linearization is accurate. The canonical wingless/integrated (WNT) signaling pathway is considered. The linearization procedure is described, and special considerations for linearization validity are analyzed. The analytical properties of nonlinear and linearized systems are studied, including aspe
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18

Lang, Xiaozheng, and Dario Grana. "Bayesian linearized petrophysical AVO inversion." GEOPHYSICS 83, no. 3 (2018): M1—M13. http://dx.doi.org/10.1190/geo2017-0364.1.

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Seismic reservoir characterization aims to provide a 3D model of rock and fluid properties based on measured seismic data. Petrophysical properties, such as porosity, mineral volumes, and water saturation, are related to elastic properties, such as velocity and impedance, through a rock-physics model. Elastic attributes can be obtained from seismic data through seismic modeling. Estimation of the properties of interest is an inverse problem; however, if the forward model is nonlinear, computationally demanding inversion algorithms should be adopted. We have developed a linearized forward model
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19

Korneyev, V. S., and V. V. Shalay. "Linearized mathematical model of rubber-cord shell." Omsk Scientific Bulletin. Series Aviation-Rocket and Power Engineering 3, no. 2 (2019): 15–24. http://dx.doi.org/10.25206/2588-0373-2019-3-2-15-24.

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20

Chowdhury, Mozaffar A. "Monetary Policy in a Linearized DSGE Model." Journal of Finance, Business and Management Studies 1, no. 1 (2021): 43–47. http://dx.doi.org/10.26713/jfbms.v1i1.1754.

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21

Korovinskiy, D. B., I. B. Ivanov, V. S. Semenov, N. V. Erkaev, and S. A. Kiehas. "Numerical linearized MHD model of flapping oscillations." Physics of Plasmas 23, no. 6 (2016): 062905. http://dx.doi.org/10.1063/1.4954388.

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22

Raikov, G. D. "Spectral properties of a linearized magnetohydrodynamics model." Journal of Soviet Mathematics 37, no. 1 (1987): 866–68. http://dx.doi.org/10.1007/bf01387725.

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23

Osman, Nehad. "Linearized Mathematical Model for PWR Dynamics Simulation." Arab Journal of Nuclear Sciences and Applications 53, no. 2 (2020): 78–86. http://dx.doi.org/10.21608/ajnsa.2019.18780.1290.

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24

Kawabata, Masashi, Kohichi Hashimoto, and Hidenori Kimura. "H.INF. Control of Robot with Linearized Model." Transactions of the Japan Society of Mechanical Engineers Series C 59, no. 566 (1993): 3151–56. http://dx.doi.org/10.1299/kikaic.59.3151.

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25

Wang, Hao, Xiupu Wang, and Jianbing Xie. "First-Order Linear Mechatronics Model for Closed-Loop MEMS Disk Resonator Gyroscope." Sensors 20, no. 22 (2020): 6455. http://dx.doi.org/10.3390/s20226455.

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In this paper, a first-order closed-loop mechatronics model of a micro-electromechanical system (MEMS) disk resonator gyroscope (DRG) with a configurable ASIC is established for closed-loop design and performance analysis. There are usually some nonlinear modules in the gyroscope mechatronics model, and it is difficult to design the closed-loop controllers using classical automatic control theory. An order-reduction method (ORM) based on the Laplace transform and inverse Laplace transform is proposed to linearize the nonlinear modules. The linearized model is proved to show good agreement with
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26

Zare, A., T. T. Georgiou, and M. R. Jovanović. "Stochastic Dynamical Modeling of Turbulent Flows." Annual Review of Control, Robotics, and Autonomous Systems 3, no. 1 (2020): 195–219. http://dx.doi.org/10.1146/annurev-control-053018-023843.

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Advanced measurement techniques and high-performance computing have made large data sets available for a range of turbulent flows in engineering applications. Drawing on this abundance of data, dynamical models that reproduce structural and statistical features of turbulent flows enable effective model-based flow control strategies. This review describes a framework for completing second-order statistics of turbulent flows using models based on the Navier–Stokes equations linearized around the turbulent mean velocity. Dynamical couplings between states of the linearized model dictate structura
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27

Korade, Ivan, Zdravko Virag, and Severino Krizmanić. "A fast method for solving a linear model of one-dimensional blood flow in a viscoelastic arterial tree." Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 231, no. 3 (2017): 203–12. http://dx.doi.org/10.1177/0954411916688718.

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For the purpose of optimization of the whole arterial tree, a fast method for solving of one-dimensional model of blood flow is required. A semi-analytic transmission line method for solving a linearized one-dimensional model of blood flow in an arterial tree with viscoelastic walls is proposed. The transmission line method that solves the linearized model in the frequency domain and the method of characteristics that solves either linearized or non-linear one-dimensional models in the time domain are compared regarding accuracy and computational time. For this purpose, the benchmark problem o
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28

Buland, Arild, and Henning Omre. "Bayesian linearized AVO inversion." GEOPHYSICS 68, no. 1 (2003): 185–98. http://dx.doi.org/10.1190/1.1543206.

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A new linearized AVO inversion technique is developed in a Bayesian framework. The objective is to obtain posterior distributions for P‐wave velocity, S‐wave velocity, and density. Distributions for other elastic parameters can also be assessed—for example, acoustic impedance, shear impedance, and P‐wave to S‐wave velocity ratio. The inversion algorithm is based on the convolutional model and a linearized weak contrast approximation of the Zoeppritz equation. The solution is represented by a Gaussian posterior distribution with explicit expressions for the posterior expectation and covariance;
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29

Grana, Dario. "Bayesian linearized rock-physics inversion." GEOPHYSICS 81, no. 6 (2016): D625—D641. http://dx.doi.org/10.1190/geo2016-0161.1.

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The estimation of rock and fluid properties from seismic attributes is an inverse problem. Rock-physics modeling provides physical relations to link elastic and petrophysical variables. Most of these models are nonlinear; therefore, the inversion generally requires complex iterative optimization algorithms to estimate the reservoir model of petrophysical properties. We have developed a new approach based on the linearization of the rock-physics forward model using first-order Taylor series approximations. The mathematical method adopted for the inversion is the Bayesian approach previously app
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30

Liu, Si Jia, Yu Fan, Jun Di, Ya Jing Liu, Wei Qin, and Shuo Li. "Nonlinear Control Approach of an Electromagnetic Bearing System." Applied Mechanics and Materials 538 (April 2014): 387–93. http://dx.doi.org/10.4028/www.scientific.net/amm.538.387.

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This paper proposes a two-electromagnet double degrees of freedom active magnetic bearing (AMB) model. Considering the nonlinearity between the electromagnetic force and the air gap, the authors put forward a nonlinear control approach based on feedback linearization which decouples and linearizes the original system. For the linearized system, pole placement strategy is used to achieve expected steady and dynamic performances. Simulation results show that this approach can successfully implement the decoupling and linearization, and is effective of different initial values.
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31

Zhang, Jun, Rongliang Chen, Chengzhi Deng, and Shengqian Wang. "Fast Linearized Augmented Lagrangian Method for Euler's Elastica Model." Numerical Mathematics: Theory, Methods and Applications 10, no. 1 (2017): 98–115. http://dx.doi.org/10.4208/nmtma.2017.m1611.

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AbstractRecently, many variational models involving high order derivatives have been widely used in image processing, because they can reduce staircase effects during noise elimination. However, it is very challenging to construct efficient algorithms to obtain the minimizers of original high order functionals. In this paper, we propose a new linearized augmented Lagrangian method for Euler's elastica image denoising model. We detail the procedures of finding the saddle-points of the augmented Lagrangian functional. Instead of solving associated linear systems by FFT or linear iterative method
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32

Chen, Jia, Ji Feng Xing, and Xi Guang He. "Nonlinear Optimal Tracking Control of Valve-Controlled Asymmetrical Cylinder." Advanced Materials Research 490-495 (March 2012): 407–11. http://dx.doi.org/10.4028/www.scientific.net/amr.490-495.407.

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Considering the complex nonlinearities of valve-controlled asymmetrical cylinder, a more accurate nonlinear state-space model is established. Then, states feedback linearization technique is introduced to linearize the model exactly and the stability of inner subsystem is analysised by zero dynamics method with the specific system parameters. Based on the linearized model, optimal control theory is applied to design a nonlinear optimal tracking controller and confirmatory simulation experiments are carried out. The results reveal that, the controller is reasonable and effective, and shows sple
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33

Minárik, Ján, Branislav Ftorek, and Radoslav Chupáč. "Model nelineárneho oscilátora." Technológ 16, no. 4 (2024): 73–77. https://doi.org/10.26552/tech.c.2024.4.12.

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This article deals with a simple nonlinear model of mechanical system. Nonlinear mechanical model described by a nonlinear system of differential equations can lead to interesting phenomena. The linearized analytical solution is compared with the numerical solution obtained by the Runge-Kutta method in the MATLAB environment.
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34

Goldsworthy, Daniel L. "A Linearized Model for MOV-Protected Series Capacitors." IEEE Power Engineering Review PER-7, no. 11 (1987): 38. http://dx.doi.org/10.1109/mper.1987.5526899.

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35

Dutta, Kaushik, Helen Thomas, Anindya Datta, and Pinar Keskinocak. "Linearized Model of Object Caching and Heuristic Solution." IEEE Transactions on Systems, Man and Cybernetics, Part C (Applications and Reviews) 37, no. 5 (2007): 815–26. http://dx.doi.org/10.1109/tsmcc.2007.900667.

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36

Matskevitch, D. G. "Eccentric impact of an ice feature: linearized model." Cold Regions Science and Technology 25, no. 3 (1997): 159–71. http://dx.doi.org/10.1016/s0165-232x(96)00009-2.

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37

Luo, Tan, Yayun He, Xin-Nian Wang, and Yan Zhu. "Jet propagation within a Linearized Boltzmann Transport model." Nuclear Physics A 932 (December 2014): 99–104. http://dx.doi.org/10.1016/j.nuclphysa.2014.09.052.

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38

Liu, Y., W. Zhang, C. Wang, and G. S. Kassab. "A linearized and incompressible constitutive model for arteries." Journal of Theoretical Biology 286 (October 2011): 85–91. http://dx.doi.org/10.1016/j.jtbi.2011.05.005.

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39

MONTORSI, ARIANNA, MARIO RASETTI, and ALLAN I. SOLOMON. "THE LINEARIZED HUBBARD MODEL: DYNAMICAL SUPERALGEBRA AND SUPERSYMMETRY." International Journal of Modern Physics B 03, no. 02 (1989): 247–64. http://dx.doi.org/10.1142/s021797928900018x.

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The dynamical superalgebras for the conventional Hubbard model and for its extension to a superlattice given by the union of two sublattices are considered. Self consistency equations are obtained for the relevant order parameters. Moreover the models are shown to be the linearized form of a class of supersymmetric models obtained from charges living in the fermionic sector of these superalgebras. The superconductive phase transition exhibited by these models is accounted for as a spontaneous breaking of supersymmetry.
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40

DANANI, ANDREA, ARIANNA MONTORSI, and MARIO RASETTI. "THERMODYNAMICS OF THE FERMI-LINEARIZED EXTENDED HUBBARD MODEL." International Journal of Modern Physics B 06, no. 22 (1992): 3529–41. http://dx.doi.org/10.1142/s0217979292001614.

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The fermi linearization scheme for a two-site cluster (dimer) is applied to the extended Hubbard model, including Coulomb interaction between nearest neighbour sites. The partition function and the order parameter, as well as the average double-occupation and local magnetic moment are evaluated. The theory is checked by extended numerical analysis, performed here in the homogeneous case, when pairing is zero, and deriving the explicit temperature and filling dependence of the above quantities. An interesting feature that emerges from such calculations is that the mean-field parameter character
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41

Wang, J., and W. J. Rugh. "Linearized model matching for single-input nonlinear systems." IEEE Transactions on Automatic Control 33, no. 8 (1988): 793–96. http://dx.doi.org/10.1109/9.1304.

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42

Goldsworthy, Daniel L. "A Linearized Model for Mov-Protected Series Capacitors." IEEE Transactions on Power Systems 2, no. 4 (1987): 953–57. http://dx.doi.org/10.1109/tpwrs.1987.4335284.

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43

IWAMATSU, Shunsuke, Hidekazu NISHIMURA, Shaopeng ZHU, and Hiroshi TAJIMA. "2114 Linearized Model and Motion Control of Motorcycle." Proceedings of the Symposium on the Motion and Vibration Control 2007.10 (2007): 186–91. http://dx.doi.org/10.1299/jsmemovic.2007.10.186.

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44

Kubáček, Lubomír. "Linearized Regression Model with Constraints of Type II." Applications of Mathematics 48, no. 3 (2003): 175–91. http://dx.doi.org/10.1023/a:1026050312419.

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45

Raikov, G. D. "Spectral properties of a linearized model of magnetohydrodynamics." Journal of Soviet Mathematics 45, no. 3 (1989): 1261–71. http://dx.doi.org/10.1007/bf01096158.

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46

Ebenhoch, Raphael, Blas Muro, Jan-Åke Dahlberg, Patrik Berkesten Hägglund, and Antonio Segalini. "A linearized numerical model of wind-farm flows." Wind Energy 20, no. 5 (2016): 859–75. http://dx.doi.org/10.1002/we.2067.

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47

Bowen, W. Richard, Julian S. Welfoot, and Paul M. Williams. "Linearized transport model for nanofiltration: Development and assessment." AIChE Journal 48, no. 4 (2002): 760–73. http://dx.doi.org/10.1002/aic.690480411.

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48

Miková, Lubica. "LINEARIZATION OF A NONLINEAR VEHICLE MODEL." TECHNICAL SCIENCES AND TECHNOLOGIES, no. 2(24) (2021): 33–37. http://dx.doi.org/10.25140/2411-5363-2021-2(24)-33-37.

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The purpose of this article is to create a mathematical model of a vehicle using dynamic equations of motion and simulation of perturbations acting on a vehicle. It is assumed that the tire in the car model behaves linearly. Because the vehicle model is nonlinear, the model will need to be linearized in order to find the transfer function between the angle of rotation of the front wheel and the lateral position of the vehicle. For this purpose, simple dynamic models of the car were created, which reflect its lateral and longitudinal dynamics. These types of models are usually used with a linea
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49

Wang, Dini, Fanwei Meng, and Shengya Meng. "Linearization Method of Nonlinear Magnetic Levitation System." Mathematical Problems in Engineering 2020 (June 22, 2020): 1–5. http://dx.doi.org/10.1155/2020/9873651.

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Linearized model of the system is often used in control design. It is generally believed that we can obtain the linearized model as long as the Taylor expansion method is used for the nonlinear model. This paper points out that the Taylor expansion method is only applicable to the linearization of the original nonlinear function. If the Taylor expansion is used for the derived nonlinear equation, wrong results are often obtained. Taking the linearization model of the maglev system as an example, it is shown that the linearization should be carried out with the process of equation derivation. T
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Grashchenkov S. I. "About the force of electrostatic interaction between two spheroidal macroparticles in the Poisson-Boltzmann model." Technical Physics 67, no. 12 (2022): 1533. http://dx.doi.org/10.21883/tp.2022.12.55186.145-22.

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Abstract:
Electrostatic interaction of two charged spheroidal macroparticles is analyzed within the linearized Poisson-Botzmann model.Interparticle forces are calculated through finite-element method in the regimes of weak and moderate screening with constant surface potentials in the absence of external field. Keywords: linearized Poisson-Botzmann model, two charged macroparticles, spheroidal macroparticles, colloidal particles, dusty plasmas.
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