ℒ2 Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback Controllers by Hidetoshi Oya, Kojiro Hagino

“…We consider a design problem of a variable gain robust output feedback controller with guaranteed ℒ2 gain performance for a class of Lipschitz uncertain nonlinear systems. The proposed variable gain robust output feedback controller achieves not only robust stability but also a specified ℒ2 gain performance. …”
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Numerical nonlinear analysis of RC beams with un-strengthened and CFRP-strengthened opening drilled under service loads within shear zones by Magdy Khalaf, Louay Aboul-Nour, Mahmoud Khater, Marwa Ibrahim

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A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method by Brajesh Kumar Singh, Mahendra

“…This paper deals with an analytical solution of an initial value system of time dependent linear and nonlinear partial differential equations by implementing reduced differential transform (RDT) method. …”
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Elements of mathematical phenomenology and analogies of electrical and mechanical oscillators of the fractional type with finite number of degrees of freedom of oscillations: linear and nonlinear modes by Katica R. (Stevanović) Hedrih, Gradimir V. Milovanović

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Relativistic nonlinear Thomson scattering of excited electron in ultra-tightly focused circularly polarized laser pulses with different beam waist radius by Qianmin Zheng, Jiachen Li, Zi Wang, Youwei Tian

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A Novel Data-Driven Terminal Iterative Learning Control with Iteration Prediction Algorithm for a Class of Discrete-Time Nonlinear Systems by Shangtai Jin, Zhongsheng Hou, Ronghu Chi

“…A data-driven predictive terminal iterative learning control (DDPTILC) approach is proposed for discrete-time nonlinear systems with terminal tracking tasks, where only the terminal output tracking error instead of entire output trajectory tracking error is available. …”
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Explicit Exact Solutions of Nonlinear Transient Thermal Models of a Porous Moving Fin using Laplace transform - Exp-function method by Gbeminiyi Musibau Sobamowo, Joy Nneka Ojuro, Olutayo Onanuga, Antonio Marcos de Oliveira Siqueira, Júlio César Costa Campos

“… The present paper develops explicit and non-power series exact solutions to the nonlinear heat transfer models of conductive-radiative-convective moving-porous fin using Laplace transform - Exp-function method, is presented. …”
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Hybrid Method for Predictive Transient Nonlinear Analysis of a Radiative-Convective Moving Porous Fin with Temperature-variant Internal Heat Generation by Gbeminiyi Musibau Sobamowo, Ridwan Oladotun Olagbadamosi, Arinola Bola Ajayi, Antonio Marcos de Oliveira Siqueira

“… In this work, Laplace transform-Legendre-wavelet collocation method is adopted for a semi-numerical analysis of predicting transient nonlinear behaviour of a radiative-convective fin with temperature-variant internal heat generation. …”
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Nonlinear association between proteinuria levels and the risk of cardiovascular disease events and all-cause mortality among chronic kidney disease patients by Haiying Song, Yuheng Liao, Haofei Hu, Qijun Wan

“…Further adjustments maintained significant associations; HRs for middle and high groups were 1.71 (95% CI: 1.12–2.61) and 3.07 (95% CI: 2.08–4.54). A nonlinear UPCR-primary outcome relationship was observed, with an inflection point at 3.93 g/gCr.Conclusion Among non-dialyzed patients with stage G2-G5 CKD, a nonlinear association between UPCR and the primary outcome was observed. …”
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Exploring optimal control strategies in a nonlinear fractional bi-susceptible model for Covid-19 dynamics using Atangana-Baleanu derivative by Azhar Iqbal Kashif Butt, Waheed Ahmad, Hafiz Ghulam Rabbani, Muhammad Rafiq, Shehbaz Ahmad, Naeed Ahmad, Saira Malik

“…Abstract In this article, a nonlinear fractional bi-susceptible $$S_{1}S_{2}V_{1}V_{2}IHR$$ model is developed to mathematically study the deadly Coronavirus disease (Covid-19), employing the Atangana-Baleanu derivative in Caputo sense (ABC). …”
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Nonlinear mixed‐effects modeling as a method for causal inference to predict exposures under desired within‐subject dose titration schemes by Christian Bartels, Martina Scauda, Neva Coello, Thomas Dumortier, Björn Bornkamp, Giusi Moffa

“…Standardization is a well‐known method in causal inference to correct for confounding by analyzing and combining results from subgroups of patients. We show that nonlinear mixed‐effects modeling is a particular implementation of standardization that conditions on individual parameters described by the random effects of the mixed‐effects model. …”
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False Data Injection Attack Detection and Mitigation Using Nonlinear Autoregressive Exogenous Input-Based Observers in Distributed Control for DC Microgrid by Md Abu Taher, Milad Behnamfar, Arif I. Sarwat, Mohd Tariq

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Performance evaluation of an optimized simplified nonlinear active disturbance rejection controller for rotor current control of DFIG-based wind energy system by Ahmed Sobhy, Medhat Hegazy Elfar, Ahmed Refaat, Mahmoud Fawzi

“…Due to the inherent nonlinear dynamics of DFIG, which increase the system's complexity, conventional proportional-integral (PI) controllers often face limitations in maintaining optimal performance. …”
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Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales by Gang Wu, Longsuo Li, Xinrong Cong, Xiufeng Miao

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Abundant Bounded and Unbounded Solitary, Periodic, Rogue-Type Wave Solutions and Analysis of Parametric Effect on the Solutions to Nonlinear Klein–Gordon Model by Mohammad Mobarak Hossain, Alrazi Abdeljabbar, Harun-Or Roshid, Md. Mamunur Roshid, Abu Naim Sheikh

“…This paper exploits the modified simple equation and dynamical system schemes to integrate the Klein–Gordon (KG) model amid quadratic nonlinearity arising in nonlinear optics, quantum theories, and solid state physics. …”
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Retracted: Dynamic Response of a Semiactive Suspension System with Hysteretic Nonlinear Energy Sink Based on Random Excitation by means of Computer Simulation by null Complexity

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Driving energy transition in BRI nations: The role of education, globalization, trade liberalization, and financial deepening – A comprehensive linear and nonlinear approach by Md Qamaruzzaman

“…Using panel data from 46 BRI countries spanning 2000–2021, we employ advanced econometric techniques, including the Continuously Updated Fully Modified (CUP-FM) and Continuously Updated Bias-Corrected (CUP-BC) models, to assess both linear and nonlinear effects. Results show that education significantly promotes renewable energy by fostering skills and environmental awareness. …”
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Optimal Guaranteed Cost Control of a Class of Discrete-Time Nonlinear Systems with Markovian Switching and Mode-Dependent Mixed Time Delays by Yurong Liu, Hamid Reza Karimi, Xiaohui Liu

“…The guaranteed cost control problem is investigated for a class of nonlinear discrete-time systems with Markovian jumping parameters and mixed time delays. …”
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Event-Triggered-Based External Consensus Protocol of RBF-ARX-Model-Based Networked Multiagent Systems with Nonlinear Dynamics and Communication Delays by Qi Lei, Ying Luo

“…An RBF-ARX modelling method is adopted to approximate a nonlinear system. By utilizing the RBF-ARX model, the locally linearized time series model can be obtained to describe the behaviour of agents with nonlinear characteristics. …”
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A Fuzzy Nonlinear Programming Approach for Optimizing the Performance of a Four-Objective Fluctuation Smoothing Rule in a Wafer Fabrication Factory by Horng-Ren Tsai, Toly Chen

“…In this study, a fuzzy nonlinear programming (FNLP) approach is proposed for optimizing the scheduling performance of a four-factor fluctuation smoothing rule in a wafer fabrication factory. …”
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