Analysis, Filtering, and Control for Takagi-Sugeno Fuzzy Models in Networked Systems by Sunjie Zhang, Zidong Wang, Jun Hu, Jinling Liang, Fuad E. Alsaadi

“…The fuzzy logic theory has been proven to be effective in dealing with various nonlinear systems and has a great success in industry applications. …”
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Adaptive Sliding Mode Control of Mobile Manipulators with Markovian Switching Joints by Liang Ding, Haibo Gao, Kerui Xia, Zhen Liu, Jianguo Tao, Yiqun Liu

“…It has been shown that the adaptive control problem for the Markovian jump nonlinear systems is solvable if a set of coupled linear matrix inequalities (LMIs) have solutions. …”
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Chaos Prediction in Fractional Delayed Energy-Based Models of Capital Accumulation by Mohamed El-Borhamy, Tamer Medhat, Manal E. Ali

“…This paper presents the nonlinear dynamic analysis of energy-based models arisen from the applied systems characterized by the energy transport in the presence of fractional order derivative and time delay. …”
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Performance Prediction Model of Dynamic Pressure Oil-Air Separator by Xiaobin Zhang, Lei Lang, Xiaofeng Zhang, Hongqing Lv, Na Gao

“…The model that was established by the least square method had the highest accuracy; the average error of the multivariate nonlinear fitting of the four resistance characteristic prediction models was less than 4%, and the maximum error was less than 15%, which could be used to predict the resistance performance of the separator. …”
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Leader-Following Multiple Unmanned Underwater Vehicles Consensus Control under the Fixed and Switching Topologies with Unmeasurable Disturbances by Zheping Yan, Yi Wu, Yibo Liu, Hongliang Ren, Xue Du

“…In the paper, considering the complex nonlinear and couple model of the UUV, the technique of the feedback linearization is employed to transform the nonlinear UUV model into a second-order integral UUV model. …”
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An Enhancement Deep Feature Extraction Method for Bearing Fault Diagnosis Based on Kernel Function and Autoencoder by Fengtao Wang, Bosen Dun, Xiaofei Liu, Yuhang Xue, Hongkun Li, Qingkai Han

“…Rotating machinery vibration signals are nonstationary and nonlinear under complicated operating conditions. It is meaningful to extract optimal features from raw signal and provide accurate fault diagnosis results. …”
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A Modeling Strategy for Predicting the Response of Steel Plate-Concrete Composite Walls by Mohammad Sadegh Barkhordari

“…Shear walls are among lateral load resisting systems which are used to provide adequate stiffness, strength, and nonlinear deformation capacity to withstand strong ground motion. …”
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Numerical Study on Pounding between Two Adjacent Buildings under Earthquake Excitation by H. Naderpour, R. C. Barros, S. M. Khatami, R. Jankowski

“…Impact is numerically simulated with the use of a nonlinear viscoelastic model. Special attention is focused on calculating values of impact forces during collisions which have significant influence of pounding-involved response under ground motions. …”
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A quasi-lumped model for the peripheral distortion of the arterial pulse by Panagiotes A. Voltairas, Antonios Charalambopoulos, Dimitrios I. Fotiadis, Lambros K. Michalis

“…Both of them are expounded in the literature and included in our analysis. The nonlinearities of inertial effects are usually taken into account in numerical simulations, based on Navier-Stokes like equations. …”
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The significance of heat transfer through natural convection in stagnation point flow of prandtl fluid by Salman Zeb, Zakir Ullah, A.B. Albidah, Ilyas Khan, Waqar A. Khan

“…These equations are converted into nonlinear partial differential equations using appropriate dimensionless variables. …”
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Cash Holding, Firm Value and Performance under Financial Constraint: A Case Study of the Iranian Capital Market by Azadeh Shemshad, Mohsen Imeni

“…Also, panel data regression was used to test the relationships between variables.Findings: The results indicate a nonlinear relationship between cash holdings and performance, and this relationship is inverted U-shaped. …”
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Defect-assisted reversible phase transition in mono- and few-layer ReS2 by George Zograf, Andrew B. Yankovich, Betül Küçüköz, Abhay V. Agrawal, Alexander Yu. Polyakov, Joachim Ciers, Fredrik Eriksson, Åsa Haglund, Paul Erhart, Tomasz J. Antosiewicz, Eva Olsson, Timur O. Shegai

“…Consequently, controlling the crystal structure of these materials is essential for fine-tuning their performance, e.g., linear and nonlinear optical, as well as charge transport properties. …”
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An approximation to discrete optimal feedback controls by Jinghao Zhu, Zhiqiang Zou

“…We study discrete solutions of nonlinear optimal control problems. By value functions, we construct difference equations to approximate the optimal control on each interval of small time. …”
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Fractional Differential Equations with Fractional Impulsive and Nonseparated Boundary Conditions by Xi Fu, Xiaoyou Liu

“…By means of Schaefer fixed point theorem, Banach fixed point theorem, and nonlinear alternative of Leray-Schauder type, some existence results are obtained. …”
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On the linearized stability of age-structured multispecies populations by Jozsef Z. Farkas

“…We consider a general nonlinear age-structured population model with n interacting species. …”
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The shallow water equations: conservation laws and symplectic geometry by Yilmaz Akyildiz

“…We consider the system of nonlinear differential equations governing shallow water waves over a uniform or sloping bottom. …”
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New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications by Kelong Cheng, Chunxiang Guo

“…Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations. …”
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Comparison of KP and BBM-KP Models by Gideon P. Daspan, Michael M. Tom

“…It is shown that the solutions of the pure initial-value problem for the KP and regularized KP equations are the same, within the order of accuracy attributable to either, on the time scale 0≤t≤ε−3/2, during which nonlinear and dispersive effects may accumulate to make an order-one relative difference to the wave profiles.…”
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Application of Coupled Fixed Point Technique in Solving Integral Equations on Modified Intuitionistic Fuzzy Metric Spaces by Bhavana Deshpande, Amrish Handa

“…As an application of our result, we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to demonstrate our result.…”
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Modified Function Projective Synchronization between Different Dimension Fractional-Order Chaotic Systems by Ping Zhou, Rui Ding

“…The synchronization scheme, based on stability theory of nonlinear fractional-order systems, is theoretically rigorous. …”
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