Investigation of a Biochemical Model with Recycling in Case of Negative Cooperativity by Svetoslav G. Nikolov, Vassil M. Vassilev, Momchil I. Nenov

“…The objective of this paper is to find new dynamic perspectives in a well-known two dimensional nonlinear system which is a modification of the phosphofructo kinase model by incorporating recycling of the product, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>p</mi></semantics></math></inline-formula>, into the substrate, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>s</mi></semantics></math></inline-formula>. …”
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Prebiotic Geochemical Automata at the Intersection of Radiolytic Chemistry, Physical Complexity, and Systems Biology by Zachary R. Adam, Albert C. Fahrenbach, Betul Kacar, Masashi Aono

“…Connectivity across multiple levels imparts the potential to create and maintain far-from-equilibrium chemical conditions and to manifest nonlinear system behaviors best approximated using automata formalisms. …”
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Control of Magnetic Manipulator Using Reinforcement Learning Based on Incrementally Adapted Local Linear Models by Martin Brablc, Jan Žegklitz, Robert Grepl, Robert Babuška

“…Reinforcement learning (RL) agents can learn to control a nonlinear system without using a model of the system. However, having a model brings benefits, mainly in terms of a reduced number of unsuccessful trials before achieving acceptable control performance. …”
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Improved Grey Particle Swarm Optimization and New Luus-Jaakola Hybrid Algorithm Optimized IMC-PID Controller for Diverse Wing Vibration Systems by Nailu Li, Hua Yang, Anle Mu

“…Diverse wing vibration systems, including linear system, nonlinear system and multiple-input-multiple-output system are considered to verify the effectiveness of proposed method. …”
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Dynamic Response of a Casting Crane Rigid-Flexible Coupling System to High Temperature by Yunsheng Xin, Qing Dong, Qisong Qi, Qinglu Shi

“…System motion equations were established according to the Lagrange equation, and the approximate solution of nonlinear system vibration was solved by the direct integration method (the Newmark method). …”
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SINDy and PD-Based UAV Dynamics Identification for MPC by Bryan S. Guevara, José Varela-Aldás, Daniel C. Gandolfo, Juan M. Toibero

“…Addressing the inherent platform constraints—where control inputs are restricted to specific attitude angles and z-axis velocities—thrust and torque are approximated via a PD controller, which serves as a practical intermediary for facilitating nonlinear system identification. Both methodologies leverage data-driven strategies to construct compact and interpretable models from experimental data, capturing significant nonlinearities with high fidelity. …”
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A Modified RBF Neuro-Sliding Mode Control Technique for a Grid Connected PMSG Based Variable Speed Wind Energy Conversion System by Rostand Marc Douanla, Godpromesse Kenné, François Béceau Pelap, Armel Simo Fotso

“…The proposed control method does not need the knowledge of the uncertainty bounds nor the exact model of the nonlinear system. Since the neural network is trained online, the time to estimate good weights can affect the dynamic performance of the process during the startup phase. …”
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Methodology to compute the speed of pumps that fit the hydrodynamic levels in a well field by Georgescu Sanda-Carmen, Găitănaru Ștefan-Dragoș, Iancu Iulian, Miron Călin Ioan, Georgescu Andrei-Mugur

“…The method is exemplified for a case study in Bucharest − a small well field, for which hydrogeological data are available. The nonlinear system of equations that defines the hydraulic system operation is solved in MATLAB for the stationary flow regime attained after reaching constant hydrodynamic levels in all wells. …”
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A Hybrid Renewable Sources Implementation for a DC Microgrid with Flatness-Nonlinear Control to Achieve Efficient Energy Management Strategy by Furqan A. Abbas, Adel A.Obed, Ammar Alhasiri, Salam J. Yaqoob

“…Taking into account the slow dynamic response of the FC, the SC provides transient periods under various conditions to maintain stability of the system. Because of the nonlinear system's behavior, differential flatness-based control has been applied mainly in nonlinear systems where the number of variables to the outputs is reduced with a robust control system established through inherited parameter reductions and equality constraints due to the system trajectories (x, u) is straightforwardly estimated from flat output trajectories y and their derivatives without any differential equation integration. …”
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Impact of the nonlinear thermal radiation on the Arrhenius activation energy of tangent hyperbolic micropolar hybrid nanofluid flow across an extending surface by MD. Shamshuddin, Balasani Srinitha, S.O. Salawu, M. Sunder Ram

“…The energy transmission and fluid flow are mathematically specified using a coupled nonlinear system of PDEs (partial derivative equations). …”
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ESTABLISHED MODES AND STATIC CHARACTERISTICS OF THREE-PHASE ASYNCHRONOUS MOTOR POWERED WITH SINGLE PHASE NETWORK by V. S. Malyar, V. V. Malyar

“…In order to perform it, the original nonlinear differential equations are algebraized by approximating the variables with the use of cubic splines. The resulting nonlinear system of algebraic equations is a discrete analogue of the initial system of differential equations. …”
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Disturbance Rejection in a One-Half Semiactive Vehicle Suspension by means of a Fuzzy-H∞ Controller by L. C. Félix-Herrán, Driss Mehdi, José de Jesús Rodríguez-Ortiz, Victor H. Benitez, Ricardo A. Ramirez‐Mendoza, Rogelio Soto

“…The herein contribution resides in the development and computation of an H∞ controller with parallel distributed compensation (PDC) designed from a highly nonlinear system modelled via the Takagi–Sugeno (T-S) fuzzy approach. …”
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Predefined-Time <italic>H</italic> _&#x221E; Cooperative Control for Multi-Robot Systems Based on Adjustable Prescribed Performance Control and Adaptive Command Filter by Haitao Liu, Weichen Li, Xin Huang, Xuehong Tian, Qingqun Mai

“…Third, the predefined-time <inline-formula> <tex-math notation="LaTeX">$H_{\infty } $ </tex-math></inline-formula> control theory is developed to guarantee that the nonlinear system has global predefined-time stabilization and that the <inline-formula> <tex-math notation="LaTeX">$L_{2}$ </tex-math></inline-formula> gain is less than <inline-formula> <tex-math notation="LaTeX">$\gamma $ </tex-math></inline-formula>. …”
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Exact controllability for systems describing plate vibrations. A perturbation approach by Bournissou, Megane, Ervedoza, Sylvain, Tucsnak, Marius

“…This leads, via a fixed-point method, to our second main result: the nonlinear system described by the von Kármán plate equations is locally exactly controllable around any stationary state defined by a real analytic function. …”
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Further Analysis of the Passive Dynamics of the Compass Biped Walker and Control of Chaos via Two Trajectory Tracking Approaches by Essia Added, Hassène Gritli, Safya Belghith

“…The dynamic walking of the compass-gait walker is modeled by an impulsive hybrid nonlinear system. This impulsive hybrid nature is considered very complex as it can generate unwanted phenomena such as chaos and bifurcations. …”
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Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System by N. A. Saeed, Emad Mahrous Awwad, Ali Maarouf, Hassan M. H. Farh, Fahd A. Alturki, Jan Awrejcewicz

“…Firstly, the obtained model is treated as a weakly nonlinear system using perturbation analysis to obtain the slow-flow modulating equations when neglecting the rub and impact forces. …”
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Thermal Convective Instabilities and Chaos in a Rotating Hybrid Nanofluid Layer with Cattaneo–Christov Heat Flux Model by Sèmako Justin Dèdèwanou, Adjimon Vincent Monwanou, Aimé Audran Koukpémèdji, Amoussou Laurent Hinvi, Clément Hodévèwan Miwadinou, Jean Bio Chabi Orou

“…This approximation allowed us to find a novel six-dimensional nonlinear system depending on the parameters of the base fluid and the thermophysical properties of the hybrid nanofluid that can be reduced to five, four, or three dimensions when we tend some parameters to zero. …”
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Community behavior for mathematical model of coronavirus disease 2019 (COVID-19) by M. Ramli, M. Mukramati, M. Ikhwan, H. Hafnani

“…The model-generated equation system is a nonlinear system of differential equations. The developed model is examined by determining the equilibrium point and the basic reproduction number.FINDINGS: The model resulted an asymptotically stable disease-free equilibrium and endemic equilibrium. …”
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A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach by Aaron Padilla-Garcia, Gilberto Gonzalez-Avalos, Noe Barrera-Gallegos, Gerardo Ayala-Jaimes

“…The modelling in bond graph of a class of nonlinear systems with singular perturbations is presented. …”
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W-Stability of Multistable Nonlinear Discrete-Time Systems by Zhishuai Ding, Guifang Cheng, Xiaowu Mu

“…Efimov, the estimates of solution and the Lyapunov stability theorem and converse theorem are proposed for multi-stable discrete-time nonlinear systems.…”
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