Chaotic Behavior in a Switched Dynamical System by Fatima El Guezar, Hassane Bouzahir

“…Precisely, we study the chaotic dynamics of the voltage-mode controlled buck converter circuit in an open loop. By considering the voltage input as a bifurcation parameter, we observe that the obtained simulations show that the buck converter is prone to have subharmonic behavior and chaos. …”
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Giant high-order nonlinear and nonreciprocal electrical transports induced by valley flipping in Bernal bilayer graphene by Yuelin Shao, Xi Dai

“…We find that the valley polarization could be easily flopped by an in-plane electrical field, which will lead to hysteresis loop in the direct current (DC) I-V curves. Such irreversible current responses in the DC limit will directly induce strong nonlinear and nonreciprocal alternating current (AC) responses, which has been already observed in the recent experiments on BLG.…”
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Remarks on an Anomalous Triple Gauge Boson Couplings by Patricio Gaete, J. A. Helayël-Neto, L. P. R. Ospedal

“…Our calculation is done within the framework of the gauge-invariant, but path-dependent variable formalism is an alternative to the Wilson loop approach. Our result shows that the interaction energy is the sum of a Yukawa and a linear potential, leading to the confinement of static probe charges. …”
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A Novel Linear Active Disturbance Rejection Control Design for Air-Breathing Supersonic Vehicle Attitude System with Prescribed Performance by Chao Ming, Xiaoming Wang

“…On the basis of the Lyapunov stability theorem, the convergence and stability characteristics are both rigorously proved for the closed-loop system. Finally, extensive contrast simulations are conducted to demonstrate the effectiveness, robustness, and advantage of the proposed control strategy.…”
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Adaptive Neural Networks Control Using Barrier Lyapunov Functions for DC Motor System with Time-Varying State Constraints by Lei Ma, Dapeng Li

“…Using Lyapunov analysis, all signals in the closed-loop system are proved to be bounded and the constraints are not violated. …”
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Positive Position Feedback Control for High-Amplitude Vibration of a Flexible Beam to a Principal Resonance Excitation by Li Jun

“…Then a stability analysis is conducted for the open- and closed-loop responses of the system and the performance of the control strategy is analyzed. …”
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Screening length of a heavy quark–antiquark pair in non-commutative plasma by Ping-ping Wu, Xiangrong Zhu, Zi-qiang Zhang

“…We perform the analysis by computing the Wilson loop in a boosted background and consider the axis of the $$Q{\bar{Q}}$$ Q Q ¯ pair along different directions. …”
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Output-Feedback and Inverse Optimal Control of a Class of Stochastic Nonlinear Systems with More General Growth Conditions by Liu Jianwei, Guo Longchuan, Zuo Xin, Liang Huaqing

“…By using backstepping technique, choosing a high-gain parameter, an output-feedback controller is designed to ensure the closed-loop system to be globally asymptotically stable in probability, and the inverse optimal stabilization in probability is achieved. …”
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Reliable l2–l∞ and H∞ Control for Nonlinear Singular Systems via Dynamic Output Feedback by Lin Li, Yuting Kang

“…The main goal of this paper is to design a generalized nonlinear controller such that, for possible actuator failures, the closed-loop system is regular, casual, and stable with a given l2–l∞ and H∞ disturbance attenuation level being satisfied. …”
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Disturbance Observer-Based Adaptive Neural Network Control of Marine Vessel Systems with Time-Varying Output Constraints by Wei Zhao, Li Tang, Yan-Jun Liu

“…The novel strategy can guarantee that all signals in the closed-loop system are semiglobally uniformly ultimately bounded (SGUUB). …”
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PLL Based Energy Efficient PV System with Fuzzy Logic Based Power Tracker for Smart Grid Applications by G. Rohini, V. Jamuna

“…The soft-switching region of three-stage converter is increased with the proposed phase-locked loop based control strategy. The proposed strategy leads to reduction in the ripple content, rating of components, and switching losses. …”
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Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control by Mingzhu Song, Wenwen Cheng, Quanxin Zhu, Hongwei Zhou, Hui Wang

“…By the backstepping method and Lyapunov theory, we design a linear output feedback controller recursively based on the observable linearization for a class of stochastic nonlinear systems with time-varying delays to guarantee that the closed-loop system is globally asymptotically stable in probability. …”
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Modeling and Oil Contamination Influence Control of a Vehicle Mounted and Unbalanced Barrel Pitching System by Yuanbo Chu

“…Firstly, the overall model of barrel pitching system is established and its sensitivity analysis is conducted, and then the correction link and the pressure difference feedback loop are respectively designed to suppress the influence of unbalanced torque and road fluctuation. …”
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Nested Saturation Function Control of a Magnetic Levitation System by Octavio Gutiérrez-Frías, Norma Lozada-Castillo, J. Alejandro Aguirre-Anaya, Diego A. Flores-Hernández

“…The flatness property of the system allows to use the nested saturation control technique and the feedforward control to stabilize the output tracking error around the equilibrium. The closed-loop error dynamics is proven to be locally exponentially stable. …”
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Control Application of Piezoelectric Materials to Aeroelastic Self-Excited Vibrations by Mohammad Amin Rashidifar, Darvish Ahmadi

“…This simplifies the closed loop system designed for vibration control of the corresponding structure. …”
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A Switched-Capacitor-Based 7-Level Self-Balancing High-Gain Inverter Employing a Single DC Source by Yatindra Gopal, Kaibalya Prasad Panda, Akanksha Kumari, Julio C. Rosas-Caro

“…The proposed inverter has the ability to self-balancing the voltage of the capacitor without using a closed-loop voltage balancing circuit. Two capacitors are equally charged by the input source owing to the series-parallel charging and discharging continuously in a full cycle. …”
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Adaptive Finite-Time Fault-Tolerant Control for Half-Vehicle Active Suspension Systems with Output Constraints and Random Actuator Failures by Jie Lan, Tongyu Xu

“…In addition, all the signals in the closed-loop systems can be guaranteed to be semiglobal finite-time stable in probability (SGFSP). …”
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Output Feedback Model Predictive Control for NCSs with Input Quantization by Hongchun Qu, Yu Li, Wei Liu

“…The proposed MPC schemes inherit the characteristics of the synthesis approach of MPC, guaranteeing the recursive feasibility of the optimization problem and the stability of a closed-loop system, and explicitly account for quantization error. …”
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Direct Adaptive Tracking Control for a Class of Pure-Feedback Stochastic Nonlinear Systems Based on Fuzzy-Approximation by Huanqing Wang, Xiaoping Liu, Qi Zhou, Hamid Reza Karimi

“…It is shown that the proposed controller guarantees that all the signals in the closed-loop system are bounded in probability and the tracking error eventually converges to a small neighborhood around the origin in the sense of mean quartic value. …”
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Adaptive Asymptotic Tracking Control for a Class of Uncertain Switched Systems via Dynamic Surface Technique by Xuemiao Chen, Qianjin Zhao, Chunsheng Zhang, Jian Wu

“…Under the presented adaptive controller, all the closed-loop signals are semiglobally bounded, and especially the output signal of the controlled system can follow the given reference signal asymptotically. …”
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