Application of Sum of Squares Method in Nonlinear H∞ Control for Satellite Attitude Maneuvers by Fanwei Meng, Dini Wang, Penghui Yang, Guanzhou Xie

“…Simulation results show that the SOS method is comparable to the LMI method used for linear systems, and it is expected to find a broad range of applications in the analysis and design of nonlinear systems.…”
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Robust l2−l∞ Filtering for Takagi-Sugeno Fuzzy Systems with Norm-Bounded Uncertainties by Wenbai Li, Yu Xu, Huaizhong Li

“…As we know that the Takagi-Sugeno fuzzy linear systems can be used to represent smooth nonlinear systems, the studied plants can also be uncertain complex systems. …”
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Enhanced Inverse Model Predictive Control for EV Chargers: Solution for Rectifier-Side by Ali Sharida, Abdullah Berkay Bayindir, Sertac Bayhan, Haitham Abu-Rub

“…IMPC inherits the advantages of model predictive control (MPC) in terms of ability to handle complex and nonlinear systems and achieving multiple control objectives, while adhering to various constraints. …”
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Online Algebraic Estimation of Parameters and Disturbances in Brushless DC Motors by David Marcos-Andrade, Francisco Beltran-Carbajal, Alexis Castelan-Perez, Ivan Rivas-Cambero, Jesús C. Hernández

“…The proposed method is based on algebraic identification, known for its robust performance in both linear and nonlinear systems. In utilizing the mathematical model of a BLDC motor, a set of equations is derived to enable parameter estimation, assuming the availability of input and output measurements in open loop. …”
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On geometry of fixed figures via φ−interpolative contractions and application of activation functions in neural networks and machine learning models by Khairul Habib Alam, Yumnam Rohen, Anita Tomar, Mohammad Sajid

“…Our exploration of fixed figures in the context of Rectified Linear Units (ReLU) further deepens our understanding of nonlinear systems and their relationship to neural network behavior.…”
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Robust Optimal Design of a Nonlinear Dynamic Vibration Absorber Combining Sensitivity Analysis by R.A. Borges, A.M.G. de Lima, V. Steffen Jr.

“…Although sensitivity analysis is a well known numerical technique, the main contribution intended for this study is its extension to nonlinear systems. Due to the numerical procedure used to solve the nonlinear equations, the sensitivities addressed herein are computed from the first-order finite-difference approximations. …”
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A New Nonlinear Controller Design for a TCP/AQM Network Based on Modified Active Disturbance Rejection Control by Anwer S. Aljuboury, Subhi R. M. Zeebaree, Firas Abedi, Zahraa Sabah Hashim, Rami Q. Malik, Ibraheem Kasim Ibraheem, Ahmed Alkhayyat

“…The main aim of this study was to address the problem of congestion in TCP nonlinear systems in the presence of mismatched exogenous disturbances. …”
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A DBN-Based Deep Neural Network Model with Multitask Learning for Online Air Quality Prediction by Jiangeng Li, Xingyang Shao, Rihui Sun

“…In this paper, for the purpose of improve prediction accuracy of air pollutant concentration, a deep neural network model with multitask learning (MTL-DBN-DNN), pretrained by a deep belief network (DBN), is proposed for forecasting of nonlinear systems and tested on the forecast of air quality time series. …”
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A chaotic bursting-spiking transition in a pancreatic beta-cells system: observation of an interior glucose-induced crisis by Jorge Duarte, Cristina Januário, Nuno Martins

“…Nonlinear systems are commonly able to display abrupt qualitative changes (or transitions) in the dynamics. …”
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Algorithm for determining the operating parameters of an electrical network in the problem of optimal reconfiguration in real time by Vladislav A. Rokhlov, Rustam N. Khamitov, Sergey N. Zherebtsov, Anastasia A. Latyntseva

“…The developed algorithm is based on solving nonlinear systems of equations of nodal voltages using the Newton–Raphson method, as well as on correcting the parameters of the previously calculated operating mode using the sensitivity matrix. …”
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ENTROPY INDICATORS FOR AN ESTIMATION OF CURRENCY RISKS by Valeria Yatsenko

“…One way is by using tools of the theory of dynamic nonlinear systems, namely entropy indicators, such as Shannon and Renyi. …”
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Breather, lump and other wave profiles for the nonlinear Rosenau equation arising in physical systems by Baboucarr Ceesay, Muhammad Zafarullah Baber, Nauman Ahmed, Muhammad Waqas Yasin, Wael W. Mohammed

“…All things considered, our work advances our understanding of waves and nonlinear systems and demonstrates the value of mathematical techniques for understanding intricate physical phenomena. …”
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Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator by Lazaros Moysis, Marcin Lawnik, Christos Volos, Murilo S. Baptista, Sotirios K. Goudos, George F. Fragulis

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Identifiability of mathematical models in medical biology by S. I. Kabanikhin, D. A. Voronov, A. A. Grodz, O. I. Krivorotko

“…The processes considered are modeled using nonlinear systems of ordinary differential equations. Math modeling of dynamic processes is based on the use of the mass conservation law. …”
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Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organisms by Munaza Chaudhry, Muhammad Abdul Basit, Muhammad Imran, Madeeha Tahir, Aiedh Mrisi Alharthi, Jihad Younis

“…Convergent implications of nonlinear systems are produced by MATLAB software’s built-in bvp4c algorithm. …”
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An Enhanced Second-Order Terminal Sliding Mode Control Based on the Super-Twisting Algorithm Applied to a Five-Phase Permanent Magnet Synchronous Generator for a Grid-Connected Win... by Ben ouadeh Douara, Abdellah Kouzou, Ahmed Hafaifa, Jose Rodriguez, Mohamed Abdelrahem

“…Indeed, the sole application of the SO-STA ensures rapid convergence and robust performances in nonlinear systems, but it leads to chattering and reduces the whole system’s efficiency. …”
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Improved Continuous Wavelet Transform for Modal Parameter Identification of Long-Span Bridges by Mingjin Zhang, Xu Huang, Yongle Li, Hao Sun, Jingyu Zhang, Bin Huang

“…In recent years, the wavelet method has been applied more frequently in parameter identification of linear and nonlinear systems. In this article, based on wavelet ridges and wavelet skeleton, the improved modal parameter identification method was studied. …”
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Uncovering Deterministic Behavior of Black Hole IGR J17091–3624: A Twin of GRS 1915+105 by Anindya Guria, Banibrata Mukhopadhyay

“…Two commonly used features associated with nonlinear systems are chaos, which is deterministic, and randomness, which is stochastic. …”
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Mathematical modeling in autoimmune diseases: from theory to clinical application by Yaroslav Ugolkov, Yaroslav Ugolkov, Yaroslav Ugolkov, Antonina Nikitich, Antonina Nikitich, Cristina Leon, Gabriel Helmlinger, Kirill Peskov, Kirill Peskov, Kirill Peskov, Kirill Peskov, Victor Sokolov, Victor Sokolov, Alina Volkova, Alina Volkova

“…. ≥70% of the models were developed as nonlinear systems of ordinary differential equations, others – as partial differential equations, integro-differential equations, Boolean networks, or probabilistic models. …”
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Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous Media by Ayesha Aktar, Sharaban Thohura, Md. Mamun Molla

“…The dimensional governing boundary layer equations are initially transformed into a convenient non-dimensional form utilizing the non-dimensional variables. The resulting nonlinear systems of equations are then numerically solved inside the computing domain into a regular rectangle using the effective Finite Difference Method (FDM).  …”
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