A Robust Control for an Aerial Robot Quadrotor under Wind Gusts by Li Ding, Zhenwei Wang

“…A robust flight controller based on linear active disturbance rejection control (LADRC) is proposed for stability control of an aerial robot quadrotor under wind gusts. The nonlinear dynamical model of the quadrotor, considering the wind disturbance, is firstly established through Newton-Euler method. …”
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Chaos and Control in Coronary Artery System by Yanxiang Shi

“…Numerical simulations are used to investigate the nonlinear dynamical characteristics and complexity of the two systems, revealing bifurcation forms and the road leading to chaotic motion. …”
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Multivariate Nonlinear Analysis and Prediction of Shanghai Stock Market by Junhai Ma, Lixia Liu

“…This study attempts to characterize and predict stock returns series in Shanghai stock exchange using the concepts of nonlinear dynamical theory. Surrogate data method of multivariate time series shows that all the stock returns time series exhibit nonlinearity. …”
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Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System by Shuang Song, An-Jun Chen

“…In accordance with dropping shock dimensionless cubic nonlinear dynamic equation of suspension spring system, by variational iteration method, a first-order approximate solution of the system was obtained. …”
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Proportional PDC Design-Based Robust Stabilization and Tracking Control Strategies for Uncertain and Disturbed T-S Model by Chekib Ghorbel, Amira Tiga, Naceur Benhadj Braiek

“…This paper presents a proportional parallel distributed compensation (PPDC) design to the robust stabilization and tracking control of the nonlinear dynamic system, which is described by the uncertain and perturbed Takagi–Sugeno (T-S) fuzzy model. …”
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Author Correction: Magnetic and pH sensitive nanocomposite microspheres for controlled temozolomide delivery in glioblastoma cells by Meysam Ahmadi, Muhammad Hossein Ashoub, Kamran Heydaryan, Sanaz Abolghasemi, Elmuez A. Dawi, Ghazal khajouei, Mahnaz Amiri

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Inverse Optimal Attitude Stabilization of Flexible Spacecraft with Actuator Saturation by Chutiphon Pukdeboon

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Computation of the topological entropy in chaotic biophysical bursting models for excitable cells by Jorge Duarte, Luís Silva, J. Sousa Ramos

“…Although there is an elegant interpretation of many experimental results in terms of nonlinear dynamical systems, the dynamics of bursting models is not completely described. …”
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Forecast of Chemical Export Trade Based on PSO-BP Neural Network Model by Na Li, Meng Li

“…The neural network is a nonlinear dynamic system, with strong nonlinear mapping ability, strong robustness, and fault tolerance. …”
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Research on the Simulation Method for Equivalent Stiffness of Bolted Connection Thin Plate Structures by Zhe Chen, Qi-jun Zhao, Guo-chen Zhou

“…At the same time, by establishing the nonlinear dynamic model of bolted structure, the influence of different bolt preloads and excitation forces on the dynamic characteristics of bolted structure is studied.…”
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Adaptive Output Tracking of Driven Oscillators by Lili Diao, Martin Guay

“…The problem of controlling the heart dynamics in a real-time manner is formulated as an adaptive learning output-tracking problem. For a class of nonlinear dynamic systems with unknown nonlinearities and nonaffine control input, a Lyapunov-based technique is used to develop a control law. …”
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Modeling and analysis of a simple manufacturing-oriented multi-agent system by P. Levi, M. Schanz, V. Avrutin

“…In order to develop appropriate tools for this task, the dynamic behaviour of the system is investigated using concepts and methods of synergetics and the theory of nonlinear dynamical systems.…”
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A Dynamic Motion Tracking Control Approach for a Quadrotor Aerial Mechanical System by Hugo Yañez-Badillo, Francisco Beltran-Carbajal, Ruben Tapia-Olvera, Antonio Valderrabano-Gonzalez, Antonio Favela-Contreras, Julio C. Rosas-Caro

“…Thus, differentiation of signals and real-time estimation of disturbances affecting the multi-input multioutput, underactuated nonlinear dynamic system are unnecessary. The presented active control approach can be directly extended for a class of vibrating mechanical systems. …”
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Estimating Vehicle Stability Region Based on Energy Function by Yu-guang Yan, Hong-guo Xu, Hong-fei Liu

“…In order to improve the deficiency of vehicle stability region, according to vehicle nonlinear dynamic model, method of estimating vehicle spatial stability region was proposed. …”
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Velocity Control for Coning Motion Missile System Using Direct Discretization Method by Rui-sheng Sun, Chao Ming

“…By using a direct discretization method to transform the optimal control problem into a nonlinear dynamic programming problem, the optimal trajectory and velocity profile are obtained to satisfy the design index requirement. …”
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An Improved Unscented Kalman Filter for Discrete Nonlinear Systems with Random Parameters by Yue Wang, Zhijian Qiu, Xiaomei Qu

“…This paper investigates the nonlinear unscented Kalman filtering (UKF) problem for discrete nonlinear dynamic systems with random parameters. We develop an improved unscented transformation by incorporating the random parameters into the state vector to enlarge the number of sigma points. …”
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Autonomous Close Formation Flight Control with Fixed Wing and Quadrotor Test Beds by Caleb Rice, Yu Gu, Haiyang Chao, Trenton Larrabee, Srikanth Gururajan, Marcello Napolitano, Tanmay Mandal, Matthew Rhudy

“…This paper discusses the implementation and flight testing of nonlinear dynamic inversion (NLDI) controllers for close formation flight (CFF) using two distinct UAV platforms: a set of fixed wing aircraft named “Phastball” and a set of quadrotors named “NEO.” …”
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On Transformation Involving Basic Analogue of Multivariable H-Function by Dinesh Kumar, Frédéric Ayant, Jessada Tariboon

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Control of Coexisting Attractors with Preselection of the Survived Attractor in Multistable Chua’s System: A Case Study by Zeric Tabekoueng Njitacke, Theophile Fonzin Fozin, Christian Tchito Tchapga, Gervais Dolvis Leutcho, K. Marcel Wouapi, Jacques Kengne

“…Techniques of linear augmentation combined to system invariant parameters like equilibrium points are used to choose the desired surviving attractors among the coexisting ones. Nonlinear dynamical tools including bifurcation diagrams, standard Lyapunov exponents, phase portraits, and cross section of initial conditions are exploited to reveal the selection scenarios of the survived attractor in the multistability control process of Chua’s system. …”
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Consensus Control of Time-Varying Delayed Multiagent Systems with High-Order Iterative Learning Control by Xiongfeng Deng, Xiuxia Sun, Ri Liu, Shuguang Liu

“…The model of each agent includes time-varying nonlinear dynamic and external disturbance, where the time-varying nonlinear term satisfies the global Lipschitz condition and the disturbance term satisfies norm-bounded condition. …”
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