Study on a Class of Piecewise Nonlinear Systems with Fractional Delay by Meiqi Wang, Wenli Ma, Enli Chen, Yujian Chang

“…In this paper, a dynamic model of piecewise nonlinear system with fractional-order time delay is simplified. …”
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Well-posedness and controllability of a nonlinear system for surface waves by Alex Montes, Ricardo Córdoba

Subjects: “…nonlinear system…”
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Robust Fault Diagnosis Algorithm for a Class of Nonlinear Systems by Hai-gang Xu, Yue-feng Liao, Xiao Han

“…A kind of robust fault diagnosis algorithm to Lipschitz nonlinear system is proposed. The novel disturbances constraint condition of the nonlinear system is derived by group algebra method, and the novel constraint condition can meet the system stability performance. …”
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Adaptive Control for Nonlinear Systems with Time-Varying Control Gain by Alejandro Rincon, Fabiola Angulo

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Nonlinear Response of Strong Nonlinear System Arisen in Polymer Cushion by Jun Wang, Li-xin Lu, Huan-xin Jiang, Yong Zhu

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A Class of Steffensen-Type Iterative Methods for Nonlinear Systems by F. Soleymani, M. Sharifi, S. Shateyi, F. Khaksar Haghani

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On the Solution of a Class of Nonlinear Systems Governed by an 𝑀-Matrix by Woula Themistoclakis, Antonia Vecchio

“…We consider a weakly nonlinear system of the form (𝐼+𝜑(𝑥)𝐴)𝑥=𝑝, where 𝜑(𝑥) is a real function of the unknown vector 𝑥, and (𝐼+𝜑(𝑥)𝐴) is an 𝑀-matrix. …”
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Parametrically excited nonlinear systems: a comparison of two methods by A. F. El-Bassiouny

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Reachable Set Bounding for Homogeneous Nonlinear Systems with Delay and Disturbance by Xingao Zhu, Yuangong Sun

“…Reachable set bounding for homogeneous nonlinear systems with delay and disturbance is studied. …”
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Adaptive Fractional Fuzzy Sliding Mode Control for Multivariable Nonlinear Systems by Junhai Luo, Heng Liu

“…This paper presents a robust adaptive fuzzy sliding mode control method for a class of uncertain nonlinear systems. The fractional order calculus is employed in the parameter updating stage. …”
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Filtering of Time-Varying Nonlinear Systems with Randomly Occurring Output Degradation by Zhengwang Jia, Yongcheng Sun

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Convergence Time Calculation for Supertwisting Algorithm and Application for Nonaffine Nonlinear Systems by Jianhua Zhang, Quanmin Zhu, Yang Li

“…In this study, an accurate convergence time of the supertwisting algorithm (STA) is proposed to build up a framework for nonaffine nonlinear systems’ finite-time control. The convergence time of the STA is provided by calculating the solution of a differential equation instead of constructing Lyapunov function. …”
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Robust adaptive tracking for Markovian jump nonlinear systems with unknown nonlinearities by Jin Zhu, Hong-Sheng Xi, Hai-Bo Ji, Bing Wang

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Exact Asymptotic Stability Analysis and Region-of-Attraction Estimation for Nonlinear Systems by Min Wu, Zhengfeng Yang, Wang Lin

“…A hybrid symbolic-numeric method is presented to compute exact Lyapunov functions and exact estimates of regions of attraction of nonlinear systems efficiently. A numerical Lyapunov function and an estimate of region of attraction can be obtained by solving an (bilinear) SOS programming via BMI solver, then the modified Newton refinement and rational vector recovery techniques are applied to obtain exact Lyapunov functions and verified estimates of regions of attraction with rational coefficients. …”
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Existence of Strong Solutions for Nonlinear Systems of PDEs Arising in Convective Flow by Khaled Bouazzaoui, Mohammed Aiboudi, Sameh Elsayed Ahmed

“…In this paper, we will study the existence of strong solutions for a nonlinear system of partial differential equations arising in convective flow, modeling a phenomenon of mixed convection created by a heated and diving plate in a porous medium saturated with a fluid. …”
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Global Character of a Six-Dimensional Nonlinear System of Difference Equations by Mehmet Gümüş, Yüksel Soykan

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Neural Network Backstepping Controller Design for Fractional-Order Nonlinear Systems by Youjun Chen, Songyu Wang

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Free-Decay Nonlinear System Identification via Mass-Change Scheme by Dario Anastasio, Stefano Marchesiello

“…Methods for nonlinear system identification of structures generally require input-output measured data to estimate the nonlinear model, as a consequence of the noninvariance of the FRFs in nonlinear systems. …”
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Prescribed-time trajectory tracking control for a class of nonlinear system by Lichao Feng, Chunlei Zhang, Mahmoud Abdel-Aty, Jinde Cao, Fawaz E. Alsaadi

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An Improved Unscented Kalman Filter for Discrete Nonlinear Systems with Random Parameters by Yue Wang, Zhijian Qiu, Xiaomei Qu

“…Based on the improved unscented transformation, an improved UKF method is proposed to expand the application of the UKF for nonlinear systems with random parameters. An application to the mobile source localization with time difference of arrival (TDOA) measurements and sensor position uncertainties is provided where the simulation results illustrate that the improved UKF method leads to a superior performance in comparison with the normal UKF method.…”
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