Least-Squares Parameter Estimation Algorithm for a Class of Input Nonlinear Systems by Weili Xiong, Wei Fan, Rui Ding

“…This paper studies least-squares parameter estimation algorithms for input nonlinear systems, including the input nonlinear controlled autoregressive (IN-CAR) model and the input nonlinear controlled autoregressive autoregressive moving average (IN-CARARMA) model. …”
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Weak Solution to a Parabolic Nonlinear System Arising in Biological Dynamic in the Soil by Côme Goudjo, Babacar Lèye, Mamadou Sy

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Single Parameter Adaptive Control of Unknown Nonlinear Systems with Tracking Error Constraints by Hongjun Yang, Zhijie Liu, Shuang Zhang

“…This paper investigates a single parameter adaptive neural network control method for unknown nonlinear systems with bounded external disturbances. A smooth performance function is developed to achieve the transient and steady state of system tracking error that could be constrained in prescribed bounds. …”
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Corrigendum to “Controller Design Based on Echo State Network with Delay Output for Nonlinear System” by Xianshuang Yao, Siyuan Fan, Bo Zhao, Shengxian Cao

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Design of High-Order Iterative Methods for Nonlinear Systems by Using Weight Function Procedure by Santiago Artidiello, Alicia Cordero, Juan R. Torregrosa, María P. Vassileva

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Feedforward and Feedback Vibration Control and Algorithm Design for Cable-Bridge Structure Nonlinear Systems by Yan-Jun Liang, Shi-Liang Wu, De-Xin Gao, Xiao-Rong Xue

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Robust Adaptive Switching Control for Markovian Jump Nonlinear Systems via Backstepping Technique by Jin Zhu, Hongsheng Xi, Qiang Ling, Wanqing Xie

“…This paper investigates robust adaptive switching controller design for Markovian jump nonlinear systems with unmodeled dynamics and Wiener noise. …”
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On Exponential Stabilizability for a Class of Switched Nonlinear Systems with Mixed Time-Varying Delays by Jie Qi, Yuangong Sun

“…We study the exponential stabilizability for a class of switched nonlinear systems with mixed time-varying delays. By using a new technique developed for positive systems, we design the average dwell time switching under which the switched nonlinear system is exponentially stable for any bounded delays. …”
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Global Finite-Time Stabilization for a Class of Uncertain High-Order Nonlinear Systems by Jian Wang, Jing Xie, Fangzheng Gao

“…This paper addresses the problem of global finite-time stabilization by state feedback for a class of high-order nonlinear systems under weaker condition. By using the methods of adding a power integrator, a continuous state feedback controller is successfully constructed to guarantee the global finite-time stability of the resulting closed-loop system. …”
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State-Feedback Stabilization for Stochastic High-Order Nonlinear Systems with Time-Varying Delays by Fangzheng Gao, Zheng Yuan, Fushun Yuan

“…This paper investigates the problem of state-feedback stabilization for a class of stochastic high-order nonlinear systems with time-varying delays. Under the weaker conditions on the power order and the nonlinear growth, by using the method of adding a power integrator, a state-feedback controller is successfully designed, and the global asymptotic stability in the probability of the resulting closed-loop system is proven with the help of an appropriate Lyapunov-Krasovskii functional. …”
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New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions by Lizhen Wang, Qing Huang, Yanmei Di

“…With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. …”
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Approximate Analytical Solution for Nonlinear System of Fractional Differential Equations by BPs Operational Matrices by Mohsen Alipour, Dumitru Baleanu

“…We present two methods for solving a nonlinear system of fractional differential equations within Caputo derivative. …”
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Robust Adaptive Neural Backstepping Control for a Class of Nonlinear Systems with Dynamic Uncertainties by Hongyan Yang, Huanqing Wang, Hamid Reza Karimi

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The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control by Zhang Qunli

“…An iterative learning control problem for nonlinear systems with delays is studied in detail in this paper. …”
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Stability Analysis and Design of Time-Varying Nonlinear Systems Based on Impulsive Fuzzy Model by Yuangan Wang, Honglin Yu, Xiaohong Zhang, Dong Li

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A hybrid approach to conjugate gradient algorithms for nonlinear systems of equations with applications in signal restoration by Xuejie Ma, Songhua Wang

Subjects: “…constrained nonlinear systems of equations…”
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Boltzmann’s Six-Moment One-Dimensional Nonlinear System Equations with the Maxwell-Auzhan Boundary Conditions by A. Sakabekov, Y. Auzhani

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A Modified Lindstedt–Poincaré Method for a Strongly Nonlinear System with Quadratic and Cubic Nonlinearities by S.H. Chen, Y. K. Cheung

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A New Efficient Method for Solving Two-Dimensional Nonlinear System of Burger’s Differential Equations by Shams A. Ahmed, Mohamed Elbadri, Mohamed Z. Mohamed

“…In this work, the Sumudu decomposition method (SDM) is utilized to obtain the approximate solution of two-dimensional nonlinear system of Burger’s differential equations. This method is considered to be an effective tool in solving many problems. …”
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A Parameter Estimation Method for Nonlinear Systems Based on Improved Boundary Chicken Swarm Optimization by Shaolong Chen, Renyu Yang, Renhuan Yang, Liu Yang, Xiuzeng Yang, Chuangbiao Xu, Baoguo Xu, Huatao Zhang, Yaosheng Lu, Weiping Liu

“…Parameter estimation is an important problem in nonlinear system modeling and control. Through constructing an appropriate fitness function, parameter estimation of system could be converted to a multidimensional parameter optimization problem. …”
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