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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Detailed Theoretical Model for Adjustable Gain-Clamped Semiconductor Optical Amplifier by Lin Liu, Craig Michie, Anthony E. Kelly, Ivan Andonovic

“…This type of subsystem can be used for power equalisation and linear amplification in packet-based dynamic systems such as passive optical networks (PONs). …”
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An evaluation of dynamic outlet boundary conditions in a 1D fluid dynamics model by Rachel Clipp, Brooke Steele

“…This study implements a dynamic impedance outlet boundary condition in a one-dimensional fluid dynamics model using the pulmonary vasculature and respiration (feedback mechanism) as an example of a dynamic system. The dynamic boundary condition was successfully implemented and the pressure and flow were predicted for an entire respiration cycle. …”
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Modification of Homotopy Perturbation method for addressing systems of PDEs by Osama Alkhazaleh

“…These examples highlight MHPM’s utility in accurately resolving dynamic systems with real-world implications, including fluid flows, reaction kinetics, and engineering models, where computational efficiency and solution precision are critical.…”
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Performance analysis and improvement of link adaptation techniques in TDD-HSDPA/SA system by CHEN Shu-ping, DU Jiu-hui, WANG Wen-bo

“…The wireless channel fluctuation resulted from smart antennas in TDD-HSDPA/SA（time division duplex-high speed downlink packet access /smart antennas）system,which caused traditional link adaptation technologies invalid,was theoretically investigated.Two kinds of novel link adaptation schemes were proposed to deal with this issue.A dynamic system level simulator was established to evaluate the performances of the two schemes.Simulation results indicate that both of them have great improvement in system residual BLER and have certain system throughput gain.The first one suits for the hybrid networking case of TDD and FDD（frequency division duplex）mode,while the second one can serve the case of alone TDD networking.…”
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Evolutionary Stability Analysis of the Coal Mine Safety Management System Governed by Delay and Impulsive Differential Equations by Li Bai, Xinhua Wang, Rongwu Lu, Hao Yu, Dan Li

“…To study the regular pattern of behavior propagations in CMSM, a series of evolutionary dynamical system models are established by the delay and impulsive differential equations (DIDEs). …”
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Research on the Evolutionary Game Model and Stable Strategy of Urban Management Law Enforcement by Fangkun Xin, Zijing Wang

“…Based on the evolutionary game theory, we achieved the evolutionary stable equilibrium points under complying with different constraint conditions by solving the replicator dynamic equations of parties in the dynamic system. Through the gradual stability analysis of the equilibrium point, the stable strategy of the evolutionary game can be calculated. …”
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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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Investigating wave solutions in coupled nonlinear Schrödinger equation: insights into bifurcation, chaos, and sensitivity by Adil Jhangeer, Abdallah M. Talafha, Ariana Abdul Rahimzai, Lubomír Říha

“…The model is converted into a dynamical system, enabling qualitative and sensitivity analysis. …”
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Buckling suppression of a cantilever structure with a modified fuzzy sliding mode control by Jianhua Pan, Lin Sun, Xiaopei Liu, Yuyuan Zhang, Yili Duo

“…Therefore, a new active control strategy for large-amplitude buckling suppression of a two-dimensional nonlinear dynamic system of a cantilever beam is established and implemented, effectively suppressing the large-amplitude buckling response in numerical studies.…”
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Adaptive Output Tracking of Driven Oscillators by Lili Diao, Martin Guay

“…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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Finite-Time Stability Analysis: A Tutorial Survey by Honglei Xu

“…After a brief introduction to notations and two distinct finite-time stability concepts, dynamical system models, particularly in the form of linear time-varying systems and impulsive linear systems, are studied. …”
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Research on the Numerical Simulation of the Nonlinear Dynamics of a Supercavitating Vehicle by Tianhong Xiong, Xianyi Li, Yipin Lv, Wenjun Yi

“…In this paper, based on a four-dimensional dynamical system of this vehicle, its complicated dynamical behaviors were analyzed in detail by numerical simulation, according to the phase trajectory diagram, the bifurcation diagram, and the Lyapunov exponential spectrum. …”
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Dynamics of a brake system governed by modified Burridge-Knopoff-Pad model by Oma Nfor Nkeh, Akoni Brikly Njinabo, Waindim Yisa Tufoin Albert, Kenfack Djifack Hunnel

“…Result of numerical simulations clearly underscores the displacement and velocity profiles of the block-pad brake dynamical system.…”
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Sliding Recurrence Analysis and its Application of Gear Vibration Signal by Xiao Han, Lv Yong

“…According to the recurrence plot analysis to the gear vibration signal,it is found that there are obvious difference between the gear condition and the driver system characteristics represented by recurrence plots.If the recurrence plots are regarded as a binary image,the parameters calculation by recurrence qualification analysis,such as recurrence rate,determinism,laminarity and recurrence time etc can be used to describe the feature of the image.The characteristics of recurrence plots that correspond to dynamical system and image respectively are analyzed.In order to depict the local feature of recurrence plot,the sliding recurrence analysis is proposed.The proposed approach combined with Gaussian mixture model and Bayesian maximum likelihood classifier are used to classify the gear vibration signals which are acquired from gear fault experiment facility.The classification results show that the higher discrimination rate can be achieved by the proposed method.…”
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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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Aeroengine High-Attitude/Low Mach Number Oscillations: Mechanism and Prevention Design by Jiqiang Wang

“…Consequently, a dynamical system approach is proposed in this paper to demonstrate that engine oscillations are recurring over high-attitude and low-speed flight envelope, yet they can be suppressed through appropriate control designs. …”
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Digital model of a pseudo-random number generator based on a continuous chaotic system by Y. A. Drybin, S. V. Sadau, V. S. Sadau

“…It is shown that the choice of the time sampling parameter of the digital model of a continuous dynamic system with chaotic modes based on its dynamics makes it possible to control the characteristics of the output sequence, including avoiding short cycles and periodic behavior modes. …”
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Resilient Multi-Agent Systems Against Denial of Service Attacks via Adaptive and Activatable Network Layers by Deepalakshmi Babu Venkateswaran, Zhihua Qu

“…This paper tackles the challenge of maintaining resilience in multi-agent systems under Denial of Service (DoS) attacks by proposing a robust architecture that includes an instantaneous detection algorithm for connectivity losses and a dynamic system to activate backup network layers when disruptions occur. …”
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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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