Dual FOPID-neural network controller based on fast grey wolf optimizer: application to two-inputs two-outputs helicopter by Amar Rezoug, Jamshed Iqbal, Abdelkrim Nemra

“…The RBFNN is integrated to address the nonlinearities and uncertainties, while a dual block mitigates the coupling effects. …”
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Active Suspension Based on a Motor-Driving Compacted Double-Gas-Chamber Hydro-Pneumatic Strut by Ruihong Li, Bing Ma, Fan Yang, Dezhao Lin, Weiqiang Zhang

“…It is usually achieved by pumping methods (air suspension, hydro-pneumatic suspension, and so on). However, the nonlinearities, hysteresis, and uncertainties in the adjusting process caused by the gas property and the valve characteristic will increase the difficulty of controller design. …”
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Surface-Applied Biosolids Enhance Soil Organic Carbon and Nitrogen Stocks but Have Contrasting Effects on Soil Physical Quality by Virginia L. Jin, Kenneth N. Potter, Mari-Vaughn V. Johnson, R. Daren Harmel, Jeffrey G. Arnold

“…Total SOC stocks (0–45 cm soil) increased nonlinearly with application rate in perennial grass fields treated for 8 years with 0, 20, 40, or 60 Mg of Class B biosolids (DM) ha−1 yr−1 (midterm treatments). …”
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Changes in the Linear Relationship between Muscle Contraction Intensity and Muscle Hardness after Rectus Femoris Muscle Strain by Takayuki Inami, Takuya Shimizu, Tomoaki Osuga, Takaya Narita, Norikazu Hirose, Mitsuyoshi Murayama

“…The results indicated that for the healthy legs, the strain ratios, as indicated by muscle hardness, decreased linearly (became harder) with contraction intensity, but the strain ratios for the rehabilitated legs decreased nonlinearly. These results show the danger of judging the recovery period using only the difference between healthy and rehabilitated muscle strengths and the importance of evaluating individual muscles.…”
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A Cryptographic Scheme for Construction of Substitution Boxes Using Quantic Fractional Transformation by Abid Mahboob, Muhammad Asif, Muhammad Nadeem, Aysha Saleem, Sayed M. Eldin, Imran Siddique

“…The usefulness of the constructed S-box was also tested using several criteria such as nonlinearity, differential uniformity, strict avalanche criteria, linear approximation probability and bit independence criteria. …”
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A Comprehensive Review of Wind Power Prediction Based on Machine Learning: Models, Applications, and Challenges by Zongxu Liu, Hui Guo, Yingshuai Zhang, Zongliang Zuo

“…Machine learning methods, especially deep learning approaches such as Convolutional Neural Networks (CNNs), Long Short-Term Memory Networks (LSTMs), and ensemble learning techniques like XGBoost, excel in addressing the nonlinearity and complexity of wind power data. The review also explores critical aspects such as data preprocessing, feature selection strategies, and model optimization techniques, which significantly enhance prediction accuracy and robustness. …”
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Experimental Investigation on Strength and Deformation Characteristics of Red Sandstone at Strain Rates of 10−2∼55 s−1 by Jie Shi, Zongmu Luo, Huachao Liu, Dan Wang, Haipeng Shen, Zeng Li

“…It is indicated that the dynamic compressive strength of sandstone in the range of intermediate strain rate increases approximately linearly with the strain rate under the quasi-static loading condition, while increasing nonlinearly under the dynamic loading condition. The deformation and fracture process of sandstone still consists of pore compaction stage, elastic deformation stage, instable microcrack propagation stage, and brittle fracture stage. …”
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Temporal-Spatial Characteristics of Ground and Pile Responses to Twin Shield Tunneling in Clays by Minghong Sheng, Jinjin Gao, Panpan Guo, Rihong Cao, Yixian Wang

“…With a reduction in the distance between the tunnel and the pile, the pile displacements and stresses increase nonlinearly. With an increase in the distance between tunnel faces, the maximum positive pile displacements and the maximum and minimum axial pile stresses increase, while the maximum negative pile displacements and the difference between the maximum and minimum axial pile stresses decrease.…”
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Static Output-Feedback Path-Tracking Controller Tolerant to Steering Actuator Faults for Distributed Driven Electric Vehicles by Miguel Meléndez-Useros, Fernando Viadero-Monasterio, Manuel Jiménez-Salas, María Jesús López-Boada

“…The controller adopts a Linear Parameter Varying approach to effectively handle nonlinearities associated with varying vehicle speeds and tire behavior. …”
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On the possibility of controlling the temperature of gases and liquids in a transportation system by local cooling or heating with account salt deposition by Evgeny L. Pankratov

“…The model is based on an analytical solution of partial differential equations with nonlinearity and variation of their coefficients in space and time. …”
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Influence of Reinforcement Load Level on Bearing Capacity of RC Beams Externally Reinforced with СFRP by Gennadiy A. Smolyago, Alexander E. Zhdanov, Yana L. Obernikhina

“…This article presents a methodology for assessing the effect of the stress-strain state level of reinforcement on the bearing capacity and other parameters of the sections of bent reinforced concrete elements reinforced with carbon fiber, taking into account the physical nonlinearity of concrete and using real deformation diagrams, including reinforcement and reinforcement systems. …”
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Cost-efficient behavioral modeling of antennas by means of global sensitivity analysis and dimensionality reduction by Slawomir Koziel, Anna Pietrenko-Dabrowska

“…Challenges include the curse of dimensionality and the high nonlinearity of antenna characteristics. Moreover, design utility necessitates that the models are defined across wide ranges of frequency, geometry dimensions, and material parameters, posing a significant bottleneck for existing modeling frameworks. …”
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Online Voltage Regulation With Minimum Disturbance for Distribution Grid Without System Knowledge by Hamad Alduaij, Yang Weng

“…To gain information about the model, active learning methods propose to disturb the system consistently to learn the nonlinearity. The exploration process also introduces uncertainty for further outages. …”
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Prediction of the axial compression capacity of ECC-CES columns using adaptive sampling and machine learning techniques by Khaled Megahed

“…This study initially introduces a finite element (FE) modeling for ECC-CES columns, integrating material and geometric nonlinearities to accurately capture the inelastic behavior of ECC and steel through appropriate constitutive material laws. …”
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Probabilistic Optimal Active and Reactive Power Dispatch including Load and Wind Uncertainties considering Correlation by Mahmmadsufiyan Shaik, Dattatraya N. Gaonkar, Ramakrishna S. S. Nuvvula, Polamarasetty P. Kumar, Baseem Khan

“…This paper discusses the detailed procedure of solving POARPD by considering correlation and the increased nonlinearities by giving more importance to VS when the system is heavily loaded.…”
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Theory of Robust Quantum Many-Body Scars in Long-Range Interacting Systems by Alessio Lerose, Tommaso Parolini, Rosario Fazio, Dmitry A. Abanin, Silvia Pappalardi

“…To elucidate the nature and fate of these states in larger systems, we introduce an analytical approach based on mapping the spin Hamiltonian onto a relativistic quantum rotor nonlinearly coupled to an extensive set of bosonic modes. …”
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Computational-Based Approaches for Predicting Biochemical Oxygen Demand (BOD) Removal in Adsorption Process by Mohamed K. Mostafa, Ahmed S. Mahmoud, Mohamed S. Mahmoud, Mahmoud Nasr

“…The applicability of these modeling techniques would guide the stakeholders and industrial sector to overcome the nonlinearity and complexity issues related to the adsorption process.…”
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Study on Energy Dissipation Characteristics and Damage Law of Backfill under Cyclic Impact by Xianglong Li, Qinglian Zhou, Jianguo Wang, Wei Sun, Yongxin Yao, Yongbo Wu, Zhiping Zhang

“…After reaching the damage threshold of 0.63, the damage variable showed nonlinearity. Moreover, it was found that the mechanical properties of the filling body affect the whole combined specimen, and the dynamic strength of the combined specimen with the cement-sand ratio of 1 : 4 was higher than that of the cement-sand ratio of 1 : 6. …”
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Predictive Analysis of Economic Chaotic Time Series Based on Chaotic Genetics Combined with Fuzzy Decision Algorithm by Xiuge Tan

“…The irreversibility in time, the multicausality on lines, and the uncertainty of feedbacks make economic systems and the predictions of economic chaotic time series possess the characteristics of high dimensionalities, multiconstraints, and complex nonlinearities. Based on genetic algorithm and fuzzy rules, the chaotic genetics combined with fuzzy decision-making can use simple, fast, and flexible means to complete the goals of automation and intelligence that are difficult to traditional predicting algorithms. …”
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A Real-Time Embedded Control System for Electro-Fused Magnesia Furnace by Fang Zheng, Yang Jie, Tao Shifei, Wu Zhiwei, Chai Tianyou

“…Since smelting process of electro-fused magnesia furnace is a complicated process which has characteristics like complex operation conditions, strong nonlinearities, and strong couplings, traditional linear controller cannot control it very well. …”
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