Nonlinear control design of a DC microgrid based on the integral sliding mode controller by Akli Hajar, Abouobaida Hassan, Mchaouar Youssef, Fathelkhair Abdelmoghit, Oualifi Khadija

“…The structure of energy conversion is elaborated by the mathematical model, controlled by a nonlinear technique which is the integral sliding mode control (ISMC). …”
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Management Model for the Construction’s Waste Use in Walls Manufacturing by BIKS Yuriy, LIALIUK Olena, ZERONG Wan, LIALIUK Andrii

“…The mathematical model, which could be represented as a fuzzy inference tree for project man-agement aimed at waste usage in wall manufacturing, is proposed in the article. …”
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On Determination of the Stress State of an Elastic-Porous Medium by E.A. Mikishanina, A.G. Terentiev

“…In the present work, the simplest mathematical model of plane elastic stress state in the transverse weightness field within both Hooke's law and Darcy's law with a constant filtration coefficient has been considered. …”
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Modelling the Control of the Impact of Fall Armyworm (Spodoptera frugiperda) Infestations on Maize Production by Salamida Daudi, Livingstone Luboobi, Moatlhodi Kgosimore, Dmitry Kuznetsov

“…In this paper, we propose and analyze a stage-structured mathematical model for modelling the control of the impact of Fall Armyworm infestations on maize production. …”
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Study on the Gap Flow Simulation in EDM Small Hole Machining with Ti Alloy by Shengfang Zhang, Wenchao Zhang, Yu Liu, Fujian Ma, Chong Su, Zhihua Sha

“…Based on the solid-liquid two-phase flow equation, the mathematical model on the gap flow field with flushing and self-adaptive disturbation is developed. …”
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A double closed loop digital hydraulic cylinder position system based on switching active disturbance rejection control by Shouling Jiang, Guochao Zhao, Fuxian Huang, Wenfeng Liu, Ying Chen, Long Zhang

“…Firstly, leveraging the established mathematical model of the double closed-loop digital hydraulic cylinder, the high-order state equation was derived. …”
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Sensitivity and bifurcation analysis of corruption dynamics model with control measures by Tesfaye Worku Gutema, Alemu Geleta Wedajo, Purnachandra Rao Koya

“…Hence, we developed and analyzed a nonlinear deterministic mathematical model that explains the dynamics of corruption to investigate the effect of control measures on the transmission of corruption. …”
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A linear hydraulic fracture with tortuosity and fluid–slip at the fluid–rock interface by M.R.R. Kgatle-Maseko, T.L. Vetezo

“…A hydraulic fracture with tortuosity and fluid–slip at the fluid–rock interface is replaced by a two-dimensional symmetric model fracture. The mathematical model is formulated using a modified Reynolds flow law and a linear crack law. …”
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PERFORMANCE ANALYSIS AND WEAR MECHANISM RESEARCH OF FEEDING SCREW OF COAL CLEANING MACHINE by XIE Miao, PEI BoBo, LIU ZhiXiang, LI Zheng, GENG XiWang

“…,the torque of screw is relatively small at the same time.In conclusion, the best range of screw speed is 35 r/min～ 50 r/min.In addition, the screw wear is serious when transporting large coal particles compared with small particles.Therefore, in practical application, the transportation of large coal should be carried out at low screw speed.Based on the above conclusion, in this paper, an optimal mathematical model is established to minimize the driving torque, obtaining the optimal structure and dynamic parameters of the screw, and proving the correctness of optimization process by simulation test.It provides a theoretical reference for improving the transportation efficiency of the coal cleaning machine, reducing the energy consumption of the equipment and prolonging the service life of the equipment.…”
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Machine vision model for drip leakage detection of pipeline. by Cong Xiao, Yiyuan Zhou, Yanwen Wu, Guodong Zhang

“…Morphological reconstruction and region-filling techniques are used to remove the noise caused by shooting in the side cross-section image, such as hollow, reflection, and irregular droplet edge, to upgrade the quality of the solution droplet edge. The mathematical model is established for boundary position points extracted from the droplet side cross-section image. …”
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Modeling MAC Protocol Based on Frame Slotted Aloha for Low Energy Critical Infrastructure Sensor Networks by Niamat Ullah, Kifayat Ullah, S. M. Riazul Islam, Pervaiz Khan, Sana Ullah, Kyung Sup Kwak

“…As the packet drop probability plays crucial role in LECIM applications, we propose framed slotted aloha based MAC for LECIM using linearly increased contention window size to reduce the packet drop probability. We present a mathematical model of our proposed MAC under both saturated and nonsaturated traffic scenarios. …”
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Dynamic Response and Failure Characteristics of Slope with Weak Interlayer under Action of Near-Fault Ground Motion by Bing Yang, Jiangrong Hou, Yifei Liu, Zihong Zhou

“…Investigations into the Wenchuan earthquake (2008, China) demonstrated that landslides were concentrated in the near-fault areas, and numerous large-scale landslides occurred in slopes with weak interlayers. A mathematical model was established based on the shear beam theory, while a numerical model was developed based on the discrete element method which perfectly matched layer boundary theory. …”
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A modelling technique to determine the high frequency transformer leakage inductance using the winding structure by Yasir S. Dira, Ahmad Q. Ramli, Ungku Anisa Ungku Amirulddin, Nadia M. L. Tan

“…By not varying the average length of turns in the winding configuration, the proposed method was able to maintain a consistent copper loss. A modified mathematical model has been put forward to determine the leakage inductance effectively and precisely. …”
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Production Analysis for Fractured Vertical Well in Coal Seam Reservoirs with Stimulated Reservoir Volume by Chen Li

“…Based on the dual-porosity flowing mechanism, combined with the Langmuir adsorb equation, Fick diffusion law, and Darcy law, a mathematical model considering diffusion in matrix and transport in natural fracture system is established, using spherical matrix to describe the transient steady-state sorption, and using cubic matrix to describe the pseudosteady-state sorption. …”
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External low energy electromagnetic fields affect heart dynamics: surrogate for system synchronization, chaos control and cancer patient’s health by Frederico P. Costa, Jack Tuszynski, Antonio F. Iemma, Willian A. Trevizan, Bertram Wiedenmann, Eckehard Schöll

“…The understanding of this phenomenon is supported by computer simulations of a mathematical model, which are validated by experimental data. …”
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Theoretical Analysis and Experimental Validation on Galloping of Iced Transmission Lines in a Moderating Airflow by Bing Huo, Xuliang Li, Fujiang Cui, Shuo Yang

“…Different declining rates of the wind velocity are also verified in the wind tunnel, which show good agreement with the results simulated by the mathematical model. The sudden increase in the galloping amplitude poses a significant threat to the transmission system, which also improves the damage mechanism associated with the galloping of a slender, a long structure with a noncircular cross-section.…”
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A novel optimal design approach for bladeless wind turbines considering mechanical properties of composite materials used by Zeinab Mohamed, Moataz Soliman, Mohamed Feteha, E. Saber

“…The study aims to maintain optimal performance without any decline that is observed in conventional bladeless wind turbines by controlling the turbine’s natural frequency through implementing these mechanisms, either by adjusting the effective length of the stand or by incorporating an additional mass in the hollow mast, or both. A mathematical model including dynamic analysis is constructed to adjust natural frequency to match the shedding frequency at the specified wind speed. …”
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Music Signal Recognition Based on the Mathematical and Physical Equation Inversion Method by Wei Jiang, Dong Sun

“…The paper firstly studies the modeling of music signal and its analysis and processing algorithm, combining the four elements of music sound, analyzing and extracting the characteristic parameters of notes, and establishing the mathematical model of single note signal and music score signal. …”
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Prediction of Cutting Conditions in Turning AZ61 and Parameters Optimization Using Regression Analysis and Artificial Neural Network by Nabeel H. Alharthi, Sedat Bingol, Adel T. Abbas, Adham E. Ragab, Mohamed F. Aly, Hamad F. Alharbi

“…In addition to ANN models, traditional regression analysis was also used to build a mathematical model representing the equation required to obtain the surface roughness. …”
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Optimal allocation of intelligent parking lots in distribution system: A robust two‐stage optimization model by Motahareh Mojarad, Mostafa Sedighizadeh, Mohamad Dosaranian‐Moghadam

“…The aim of this paper is to optimally allocate IPLs in order to minimize system costs through a two‐stage mathematical model. The system cost involves installation cost, cost of exchanging the electrical power with an upstream grid, cost of the electrical power loss, network reliability cost, and emissions cost. …”
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