Sliding Mode Output Feedback Control of a Flexible Rotor Supported by Magnetic Bearings by A. S. Lewis, A. Sinha, K. W. Wang

“…It is assumed that the number of states is greater than the number of sensors. A mathematical model of the rotor]magnetic bearing system is presented in terms of partial differential equations. …”
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Oscillator with a Sum of Noninteger-Order Nonlinearities by L. Cveticanin, T. Pogány

“…Free and self-excited vibrations of conservative oscillators with polynomial nonlinearity are considered. Mathematical model of the system is a second-order differential equation with a nonlinearity of polynomial type, whose terms are of integer and/or noninteger order. …”
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Preface for the special issue of Mathematical Biosciences and Engineering, BIOCOMP 2012 by Aniello Buonocore, Antonio Di Crescenzo, Alan Hastings

“…The International Conference ``BIOCOMP2012 - Mathematical Modeling and Computational Topics in Biosciences'',was held in Vietri sul Mare (Italy), June 4-8, 2012. …”
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Analysis of the Instability Phenomena Caused by Steam in High-Pressure Turbines by Paolo Pennacchi, Andrea Vania

“…As a consequence, the eigenvalues and eigenmodes of the mathematical model of the machine change. The real part of the eigenvalue associated with the first flexural normal mode of the turbine shaft may become positive causing the conditions for unstable vibrations. …”
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Modeling the dynamics of two-factor socio-economic states through mappings close to extension by V. V. Egorov

“…A new way of developing a mathematical model of the dynamics of the factors forming the considered social, political, economic, ecological or other space of life activity of society, depending on local changes in parameters affecting these factors, is presented. …”
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Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling by Douglas Domingues Bueno, Luiz Carlos Sandoval Góes, Paulo José Paupitz Gonçalves

“…The proposed methodology is developed for the three degrees of freedom typical section airfoil considering aerodynamic forces from Theodorsen’s theory. The mathematical model is written in the state space representation using rational function approximation to write the aerodynamic forces in time domain. …”
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The replicability of oncolytic virus: Defining conditions in tumor virotherapy by Jianjun Paul Tian

“…This article analyzes a basic mathematical model that includes burst size for oncolyticvirotherapy. …”
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The surface of non-linear rotation by K. L. Panchuk, T. M. Myasoyedova

“…The paper considers a geometric scheme, a mathematical model and an algorithm for shaping a non-linear rotation surface. …”
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Intelligent Management of Air Traffic Flow Based on Intelligent Motion Coordinate Data Model by Junhao Liu, Qing Cheng, Yuanji Wang, Changqi Yang, Rui Zhou, Xinping Zhu, Di Yao, Junjie Zhou, Yaqian Du, Shanshan Yang

“…To adapt to the intelligent management of traffic flow in modern aviation, this study improves the algorithm according to the data exercise method and establishes the mathematical model and vector model of intelligent motion coordinates. …”
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Power Balance Optimization Technology of Microgrid Based on Full-Bridge Converter by Shuailong Dai, Bin Cao, Rui Liu, Liyang Zhu, Mengfan Li

“…First, the working structure and mathematical model are analyzed, and the power model is then established. …”
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The Holling Type II Population Model Subjected to Rapid Random Attacks of Predator by Jevgeņijs Carkovs, Jolanta Goldšteine, Kārlis Šadurskis

“…We present the analysis of a mathematical model of the dynamics of interacting predator and prey populations with the Holling type random trophic function under the assumption of random time interval passage between predator attacks on prey. …”
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Active Power Filter DC Bus Voltage Piecewise Reaching Law Variable Structure Control by Baolian Liu, Zujun Ding, Huanyu Zhao, Defei Jin

“…The external disturbances such as power grid and load fluctuation and the system parameters changing may affect the stability of APF DC bus voltage and the normal operation of APF. The mathematical model of DC bus voltage is established according to power balance principle and a DC bus voltage piecewise reaching law variable structure control algorithm is proposed to solve the above problem, and the design method is given. …”
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Dynamical System and Nonlinear Regression for Estimate Host-Parasitoid Relationship by Ileana Miranda Cabrera, Heyker Lellanis Baños Díaz, María de los Ángeles Martínez

“…The complex relationships of a crop with the pest, its natural enemies, and the climate factors exist in all the ecosystems, but the mathematic models has studied only some components to know the relation cause-effect. …”
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Dynamic Modeling and Simulation of a Super-High-Speed Circumferential-Flux Hysteresis Motor by A. Halvaei Niasar, M. Zare, H. Moghbelli

“…This paper presents the dynamic performance characteristics of hysteresis motors using a Matlab/Simulink software. A nonlinear mathematical model based on a d-q axis theory in the rotor reference frame is applied to study the starting and synchronization processes of a hysteresis machine with a circumferential-flux-type rotor. …”
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Dynamics of an infectious diseases with media/psychology induced non-smooth incidence by Yanni Xiao, Tingting Zhao, Sanyi Tang

“…This paper proposes and analyzes a mathematical model on aninfectious disease system with a piecewise smooth incidence rateconcerning media/psychological effect. …”
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Analysis of the Thermal Characteristics of Surrounding Rock in Deep Underground Space by Liu Chen, Jiangbo Li, Fei Han, Yu Zhang, Lang Liu, Bo Zhang

“…According to the mathematical model of heat transfer of the surrounding rock in deep underground space, similar criteria numbers are established. …”
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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. Meanwhile, an advanced adaptive command filter control methodology is constructed to avoid the computing explosion during the process of backstepping design. …”
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LIFE-CYCLE COST AS AN ASSESSMENT OF THE FINANCIAL EFFECTIVENESS OF AN INVESTMENT AND CONSTRUCTION PROJECT OF SOCIAL INFRASTRUCTURE by A. A. Kuznetsov

“…An economic and mathematical model for calculating the cost of life cycle costs in base and current prices, as well as an analysis of the factors forming it have been presented in the paper.…”
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Persistence and emergence of X4 virus in HIV infection by Ariel D. Weinberger, Alan S. Perelson

“…Previously, we used numerical simulations of a mathematical model to show that across much of parameter space a promising new class of antiretroviral treatments, CCR5 inhibitors, can accelerate X4 emergence and immunodeficiency. …”
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PLL Based Energy Efficient PV System with Fuzzy Logic Based Power Tracker for Smart Grid Applications by G. Rohini, V. Jamuna

“…The PV array is mathematically modeled and the system is simulated and the results are analyzed. …”
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