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Modification of Optimal Auxiliary Fractional Method to Harry Dym equation
Boletim da Sociedade Paranaense de MatemáticaIn this paper, we modify and utalised the Optimal Axillary Function Method (OAFM) for nonlinear Partial Differential Equations (PDEs). The general formulation is modified for the general PDEs and tested numerically on nonlinear time-fractional Harry Dym ...
Muhammad Nawaz +4 more
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Communications in Mathematical Sciences
The Schr\"odingerization method converts linear partial and ordinary differential equations with non-unitary dynamics into systems of Schr\"odinger-type equations with unitary evolution.
Shi Jin, Nana Liu, Chuwen Ma, Yue Yu
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The Schr\"odingerization method converts linear partial and ordinary differential equations with non-unitary dynamics into systems of Schr\"odinger-type equations with unitary evolution.
Shi Jin, Nana Liu, Chuwen Ma, Yue Yu
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IEEE transactions on fuzzy systems
This article studies the adaptive prescribed-time fuzzy optimal containment control issue for multiagent systems (MASs) with deferred output constraints based on the reinforcement learning (RL) algorithm.
Xiaona Song +3 more
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This article studies the adaptive prescribed-time fuzzy optimal containment control issue for multiagent systems (MASs) with deferred output constraints based on the reinforcement learning (RL) algorithm.
Xiaona Song +3 more
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The randomization method in stochastic optimal control
Numerical Algebra, Control and OptimizationIn this paper we make a survey on the so called randomization method, a recent methodology to study stochastic optimization problems. It allows to represent the value function of an optimal control problem by a suitable backward stochastic differential ...
Marco Fuhrman
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Journal of Chemical Physics
The multilayer-multiconfiguration time-dependent Hartree (ML-MCTDH) method has garnered significant attention in the realm of theoretical chemistry owing to its powerful ability to perform numerically exact descriptions of multi-dimensional quantum ...
Jie Zheng +4 more
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The multilayer-multiconfiguration time-dependent Hartree (ML-MCTDH) method has garnered significant attention in the realm of theoretical chemistry owing to its powerful ability to perform numerically exact descriptions of multi-dimensional quantum ...
Jie Zheng +4 more
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2018
Rotating electrical machines are widely used in engineering and industry applications due to their reliability. The machines under study are subjected to a parametric excitation caused by an inertial thrust and a forcing excitation caused by an unbalanced force of the rotor while the entire system is being supported by nonlinear bearings with nonlinear
Nicolae Herisanu, Vasile Marinca
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Rotating electrical machines are widely used in engineering and industry applications due to their reliability. The machines under study are subjected to a parametric excitation caused by an inertial thrust and a forcing excitation caused by an unbalanced force of the rotor while the entire system is being supported by nonlinear bearings with nonlinear
Nicolae Herisanu, Vasile Marinca
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Optimal Solutions of the Time-Fractional Wave Models
International Journal of Analysis and ApplicationsIn this article, we provide an update on the optimal auxiliary function method (OAFM) in this work. This semi-analytical approach uses the Caputo fractional derivative operator (FOAFM) to solve fractional order differential equations.
T. Alzkari +9 more
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IEEE transactions on fuzzy systems
Fractional-order nonlinear systems have been widely studied, and their optimal control problems have been difficult to be solved. In this article, an event-triggered fuzzy reinforcement learning method is proposed to achieve the optimal control of ...
Dongdong Li, Jiuxiang Dong
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Fractional-order nonlinear systems have been widely studied, and their optimal control problems have been difficult to be solved. In this article, an event-triggered fuzzy reinforcement learning method is proposed to achieve the optimal control of ...
Dongdong Li, Jiuxiang Dong
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Optimal Parameter Estimation Under Finite Excitation
IEEE transactions on industrial electronics (1982. Print)Although parameter estimation of continuous-time systems has been studied for decades, the gradient-descent algorithm and its advancements (e.g., least-squares) were all derived to minimize the error between the measured system output and the predictor ...
Yashan Xing +4 more
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Optimal Auxiliary Functions Method for Nonlinear Dynamical Systems
2021Vasile Marinca +2 more
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